Index theory and price statistics:
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Lang
2007
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| 100 | 1 | |a Lippe, Peter von der |d 1942-2016 |e Verfasser |0 (DE-588)121138615 |4 aut | |
| 245 | 1 | 0 | |a Index theory and price statistics |c Peter von der Lippe |
| 264 | 1 | |a Frankfurt am Main [u.a.] |b Lang |c 2007 | |
| 300 | |a XX, 572 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Index theory (Mathematics) | |
| 650 | 4 | |a Price indexes | |
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Datensatz im Suchindex
| _version_ | 1804137134291943424 |
|---|---|
| adam_text | Table
of contents (complete)
List of Figures and Tables
XVII
1
General introduction and elementary price index theory
1
1.1
Fundamental principles of price statistics and price indices
1
a) The scope and structure of the book
1
b) The concept of a price index
4
c) Objectives and methodological principles of price statistics, the concept
6
of deflation
d) Simple comparisons (a single commodity
e) Aggregative comparisons (two or more commodities) and unit values
1.2
Unweighted indices
a) Dutot s index and Drobisch s unit value index
b) Carli s index formula
c) Commensurability and time reversal test, choice of the type of average
in aggregating price quotations
c) Stochastic and aggregative approach to index theory
1.3
Index formulas of Laspeyres and Paasche
a) Price indices, dual interpretation
b) Price indices and quantity indices
c) Asymmetry in the interpretation of the Laspeyres and Paasche formula
d) Theorem of Ladislaus
von Bortkiewicz
concerning the relationship be¬
tween Paasche and Laspeyres formulas
e) Critique of the Laspeyres Index and the principle of pure price compari¬
son by the US-Senate Advisory Commission (Boskin Commission,
ВС)
Digression: A linear approximation to Jevons index
(hybrid index, part contributed by
Jens Mehrhoff)
2
Approaches in index theory
2.1
Outline of index theories or approaches
a) Formal and economic theory of index numbers
b) Constructive approaches
2.2
Irving Fisher s approach and reversal tests
a) Fisher s systematic search for formulas
b) Generalization of means
c) Fisher s reversal tests, crossing and rectifying of formulas
d) Digression: a weak variant of the time reversal test
e) Fisher s philosophy In evaluating formulas by reversal tests
f) The meaning and significance of Fisher s circular test
g) A
critique of circularity and time reversibility (Pfouts)
h) Some weak versions of the circular test, the base
invariance
test and
base test
2.3
The stochastic approach in price index theory
a) Objectives of the stochastic approach
b) Generalization of means
b) Applications: some simple regression equation models for index formu¬
las
c) Some questions concerning the general programme of the stochastic
approach
2.4 Elements
of the economic theory of index numbers
90
a) Definition of the true cost of living index
(COLI),
introduction of the
util-
91
ity concept
b) Upper and lower bounds for the
COLI
provided by the Laspeyres and-
97
Paasche price index formula
с
Homothetic preferences and the unit cost function
99
d) Example: the logarithmic Laspeyres index as an exact index function
101
e) The notion of exact and superlative index functions (cost of living
106
indices)
f) Conditional COLIs and the many households case (social
COLI)
115
g)
The quantity index corresponding to the
COLI
as a price index
120
h) Some extensions and some more criticisms of the
COLI
reasoning
122
2.5
Chain indices and Divisia s approach, general introduction
132
a) Some really necessary terminological distinctions
132
b) Weights in the chain approach
138
e) Divista
index and its relation to chain indices
141
d) Discrete time approximations and weights in Divisia s approach
146
2.6
Additive models, Stuvel s and Banerjee s index formulas
149
a) Additive decomposition of the value difference
149
b) Properties of Stuvel s formulas
151
c) Alternative ways of deriving Stuvel s index formulas
153
d) Generalization of Stuvel s index formulas
156
e) Stuvel s approach and interpretations of price index formulas
158
f) Banerjee s factorial approach in index theory
159
g) Some comments on Banerjee s approach
163
3
Axioms and more index formulas
165
3.1
The axiomatic approach, some theorems
165
and fundamental axioms
a) Uses of axioms and axiomatic systems
165
b) How to prove consistency and independence of a system of axioms?
168
c) Quantum theory of index formulas
169
d) A
tentative list and grouping of axioms
170
e) First considerations concerning the importance of axioms/test and the
174
time reversal test
f) Comments on the meaning and significance of some basic axioms I:
175
determinateness, commensurability and dimensionality
g) Comments on the meaning and significance of some basic axioms II:
176
identity, a first look at
monotonicity,
and proportionality
h) Logical relations among the most fundamental axioms
179
i) A tentative ranking of axioms in terms of importance
180
j) First example of uniqueness theorems and an inconsistency theorem
183
3.2
Fundamental axioms and their interpretation
185
a) The meaning of strict and weak
monotonicity
185
b) Additivity
and multiplicativity as special cases of strict
monotonicity
190
c)
Generalization of Bortkiewicz s theorem for additive indices
194
d) Mean value property (mean value test for price relatives)
196
e) Relations between
monotonicity,
proportionality and mean value prop-
197
erty
f) The meaning of linear homogeneity
199
g) Linear homogeneity and proportionality
200
h) Linear homogeneity,
monotonicity
and mean value property
203
¡)
Proportionality with respect to quantity indices, the value index preserv-
205
ing test
j) Value dependence test , another uniqueness theorem for Fisher s ideal
206
index
k) Some new tests in the tradition of Fisher s reversal tests: Partial
rever-
207
sals
&
additional uniqueness theorems concerning Fisher s ideal index
I) Some weak versions of the circular test, and inconsistencies between
213
some of Fisher s reversal tests and the circular test
3.3
Systems of axioms
216
a) Irving Fisher s system of axioms (tests)
216
b) A system of minimum requirements of an index by Marco Martini
219
c) Two systems of axioms established by
Eichhorn
and Voeller
220
d) Combinations of index formulas and transformations of data vectors
223
e) Some additional axiomatic systems of B.
Olt
and final remarks on the
224
choice between systems of axioms
3.4
Log-change index numbers I: Cobb-Douglas- and
226
Törnqvist-index
a) Growth rates, log changes, and new index formulas on the basis of log
226
changes
b) Cobb Douglas index PCD, constant weights and the circular test
229
c) The circular test and a characterization (uniqueness theorem) of PCD
234
d) The
Törnqvist
index, an unbiased index formula in a system of six
indi-
236
ces
e)
Quantitative relations between six indices
241
f) Three unbiased and superlative indices
241
3.5
Log-change index numbers II: Vartia s index formulas
243
a) Aggregation of log changes and the logarithmic mean
243
b) The Vartia-I index (PV1)
246
c) The Vartia-ll index
(Pvź)
247
d)
Properties of Vartia indices
249
3.6
Ideal index functions and Theil s Best Linear Index
(BLI)
255
a) Three-component model of value change (the structural component)
255
b) Distribution of the structural component (additive model): Stuvel s solu-
257
tion
c)
Distribution of the structural component (multiplicative model): Fisher s
258
solution
d) Aggregation of a two component multiplicative micro-model: Vartia s
258
solution
e) Brief introduction into Theil s Best Linear Index
(BLI)
261
Price collection and index systems in official statistics
263
4.1
The set up of a system of price quotations and price indices in
263
official statistics
a) The role of official statistics
263
b) The implementation of a system of surveys in price statistics
264
c) Some general remarks concerning the structure of a system of indices
267
d) The German system of index calculations in official statistics
268
4.2
Quality adjustment in price statistics
271
a) Need for quality adjustment
271
b) For what kind of changes should adjustments be made?
274
(Identification problem)
c)
Typology of quality changes and adjustment methods
276
d) Digression: numerical example for the implicit methods: quality adjust-
284
ment
by a proportional change of the observed price
e) More comments on selected methods
287
f) Comments on the hedonic method
291
4.3
Sampling in price statistics
299
a) Random sampling: why and what?
299
b) Random selection of localities and outlets, derivation of weights from
302
budget surveys of private households
c) Sampling of goods, new goods and the use of scanner data
304
d) Sampling designs in general and methods applied in
official
consumer
306
price statistics
e) The Generalized Fisher index
310
f) Accuracy of a price index
313
5
Deflation and aggregation
315
5.1
Introduction to deflation methods
315
a) Objectives and types of deflation
315
b) Direct and indirect volume measurement, new products
318
c) Inflation measurement and deflation (volume measurement)
320
d) Deflating National Accounts aggregates
321
e) Quantities and qualities, price level and price structure
323
f) Deflation in terms of real income
324
g) Terms of trade effect
324
h) The choice of the deflator (the notion of the general price level )
326
5.2
Deflation in volume terms, aggregation and double deflation
328
a) Interpretation of volumes , axiomatic considerations
328
b) Double (indirect) deflation method
333
c) Aggregative properties of Index functions and deflation methods
337
d) Consistency in aggregation (aggregative consistency of the index
fune-
338
tion.AI)
e) Equality test
(ET)
343
f)
Structural consistency of volumes (A2), a case for using Paasche
indi-
344
ces
in deflation
g) Some new results concerning aggregative consistency (v. Auer)
347
5.3
Harmonization of deflation methodology in Europe
350
a) General approach to harmonization of deflation methods In the
EU
350
b)
Aggregates related to the production approach
352
c) Aggregates related to the expenditure approach
354
d) Summary of the HVM and some remarks concerning direct volume
357
measurement by extrapolation of output indicators
e) Move from fixed base indices to chain indices
5.4
Fisher s ideal index far from being ideal
a) Fisher deflation (direct Fisher price indices) and quantity movement
b) Structural inconsistency of Fisher
-
deflation
c) The chained Fisher s ideal index as deflator
d) Fisher s ideal index all but ideal
6
Price
indices
and unit value indices in official statistics
371
6.1
The Consumer Price Index
(CPI)
and the Harmonized Index of
371
Consumer Prices (HICP) in Europe
a) Political need for harmonization of
CPI
complications in Europe
371
b) Main aspects of index construction that need to be harmonized
372
c) The harmonization strategy
375
d) Rules for the Harmonized Index of Consumer Prices (HICP)
377
e) Aggregation over time (the chain index approach)
384
f) The Monetary Union (EMU) Index of Consumer Prices (MUICP)
387
6.2
Some controversial issues in inflation measurement
390
a) Core inflation and net price indices
390
b) Asset inflation and total inflation
393
c) The treatment of owner occupied dwelling (OOD)
397
6.3
Producer Price Indices
(PPI)
405
a) Price indices in agriculture
406
b) Producer Price Index
(PPI)
for the Production Industries
411
c) Price indices for buildings, improvement of dwellings and other construe-
412
tion
work
6.4
Price indices and unit value indices, foreign trade and
415
wage indices
a) Unit value vs. price indices
416
b) Difference between unit value indices and price indices in foreign trade
425
statistics
c) Indices of wages and salaries as price indices or unit value indices
427
7
Chain indices
429
7.1
Arguments in favour of the chain index approach
429
a) Overview of arguments for chain indices and some general observations
429
concerning the arguments of chainers
b) Arguments of group A: Focus on links rather than on the chain
433
c) Group
В
arguments: Ambiguities concerning the notion of base
439
d) Group
С
arguments: Adjustment of weights, new products and changes
447
in quality
e) Group
D
arguments referring to expected and desired results of index
450
calculations
f) Chain indices recommended for deflation (SNA, argument of type E)
452
g) Concluding remarks concerning the nature of the arguments
452
7.2
Properties of chain indices
456
a) Introduction
456
b) Chain price indices and the two traditional interpretations of a price in-
458
dex
c) No identity and
monotonicity:
axioms apply to links only (not to the
462
chain)
d) Cyclical movement of prices
464
e) No transitivity but path dependence
466
f) Nonlinearity (the determinants of an increase/decrease of the price
469
level)
g) Inconsistency in aggregation
474
h) No structural consistency (of volumes) and proportionality in quantities
476
і)
Determinants of the drift (drift-function, temporal correlation, growth
fac-
480
tors)
j) Justification of chainlinking, uniqueness theorem of
Funke et
al. con-
485
cerning
the Cobb-Douglas index
k)
Aspects of official statistics: cost-benefit-considerations, understandabi-
487
lity,
and a system of chain indices
8
Interspatial
comparisons of prices and volumes
497
8.1
Introduction into
interspatial
comparisons
497
a) Differences between
intertemporal
and
interspatial
comparisons
497
b) Uses and limitations of international price comparisons; PPPs and ex-
501
change rates
c) Bilateral and multilateral price comparisons
d) Some methods of bilateral international comparisons
e) Consistency in multinational comparisons (the meaning of transitivity)
f) Conditions, axioms and required properties in multinational comparisons
g) Engel-Gerschenkron effect, Paasche
-
Laspeyres
-
Spread
8.2
Overview of methods proposed for multinational comparisons
a) Introduction into methods to solve the transitivity problem
b) Evaluation of methods adequate for intra-EU comparisons
c) Block methods: Geary-Khamis (GK) method
d) The method of minimum spanning trees (MST-Method)
e) Short comments on some other methods
8.3
Block methods (Geary-Khamis etc.) for multinational compari¬
sons
a) The Central Country Method (CCM)
b) The Geary-Khamis (GK) approach to multinational comparisons
c) The (balanced) method of van Yzeren
d) Short remarks concerning further variants of the block-of-countries ap¬
proach
8.4
Averaging methods (generalizations of the binary case) for mul¬
tinational comparisons and related methods
a) Generalization of country reversible index functions
b) The EKS-method to provide transitive PPPs
c) The Caves-Christensen-Diewert
(CCD)
-
method
d) Models based approaches
e) Multilateral generalized
Tömqvist
method (MGT)
References
This textbook integrates mathematical index theory and its application in official
price statistics. It tries to bridge theory and practice, due to the apparent di¬
vergence between mathematicians with ever more sophisticated and complex
models and practitioners with problems that are more and more difficult to
understand without broad knowledge and some experience. The text offers
an introduction into axiomatic,
microeconomic
and stochastic reasoning as
regards index numbers, with moderately difficult mathematics. H also sum¬
marizes many ongoing discussions concerning methodological merits and
demerits of specific indices, such as consumer price-, producer price-, unit
value- and chain indices, in official price statistics. The book is comprehensive
and presents a readable overview of a great number of topics in modern price
index theory and their application in inflation measurement, deflation of aggre¬
gates in National Accounts, sampling and quality adjustment in price collection
and other important though controversial issues.
|
| adam_txt |
Table
of contents (complete)
List of Figures and Tables
XVII
1
General introduction and elementary price index theory
1
1.1
Fundamental principles of price statistics and price indices
1
a) The scope and structure of the book
1
b) The concept of a price index
4
c) Objectives and methodological principles of price statistics, the concept
6
of deflation
d) Simple comparisons (a single commodity
e) Aggregative comparisons (two or more commodities) and unit values
1.2
Unweighted indices
a) Dutot's index and Drobisch's unit value index
b) Carli's index formula
c) Commensurability and time reversal test, choice of the type of average
in aggregating price quotations
c) Stochastic and aggregative approach to index theory
1.3
Index formulas of Laspeyres and Paasche
a) Price indices, dual interpretation
b) Price indices and quantity indices
c) Asymmetry in the interpretation of the Laspeyres and Paasche formula
d) Theorem of Ladislaus
von Bortkiewicz
concerning the relationship be¬
tween Paasche and Laspeyres formulas
e) Critique of the Laspeyres Index and the principle of "pure price compari¬
son" by the US-Senate Advisory Commission (Boskin Commission,
ВС)
Digression: A linear approximation to Jevons index
(hybrid index, part contributed by
Jens Mehrhoff)
2
Approaches in index theory
2.1
Outline of index theories or "approaches"
a) Formal and economic theory of index numbers
b) Constructive approaches
2.2
Irving Fisher's approach and reversal tests
a) Fisher's systematic search for formulas
b) Generalization of means
c) Fisher's reversal tests, "crossing" and "rectifying" of formulas
d) Digression: a weak variant of the time reversal test
e) Fisher's philosophy In evaluating formulas by reversal tests
f) The meaning and significance of Fisher's circular test
g) A
critique of circularity and time reversibility (Pfouts)
h) Some weak versions of the circular test, the base
invariance
test and
base test
2.3
The stochastic approach in price index theory
a) Objectives of the stochastic approach
b) Generalization of means
b) Applications: some simple regression equation models for index formu¬
las
c) Some questions concerning the general programme of the stochastic
approach
2.4 Elements
of the economic theory of index numbers
90
a) Definition of the "true cost of living index"
(COLI),
introduction of the
util-
91
ity concept
b) Upper and lower bounds for the
COLI
provided by the Laspeyres and-
97
Paasche price index formula
с
Homothetic" preferences and the "unit cost" function
99
d) Example: the logarithmic Laspeyres index as an "exact" index function
101
e) The notion of "exact" and "superlative" index functions (cost of living
106
indices)
f) Conditional COLIs and the many households case (social
COLI)
115
g)
The quantity index corresponding to the
COLI
as a price index
120
h) Some extensions and some more criticisms of the
COLI
reasoning
122
2.5
Chain indices and Divisia's approach, general introduction
132
a) Some really necessary terminological distinctions
132
b) Weights in the chain approach
138
e) Divista
index and its relation to chain indices
141
d) Discrete time approximations and weights in Divisia's approach
146
2.6
Additive models, Stuvel's and Banerjee's index formulas
149
a) Additive decomposition of the value difference
149
b) Properties of Stuvel's formulas
151
c) Alternative ways of deriving Stuvel's index formulas
153
d) Generalization of Stuvel's index formulas
156
e) Stuvel's approach and interpretations of price index formulas
158
f) Banerjee's factorial approach in index theory
159
g) Some comments on Banerjee's approach
163
3
Axioms and more index formulas
165
3.1
The axiomatic approach, some theorems
165
and fundamental axioms
a) Uses of "axioms" and axiomatic systems
165
b) How to prove consistency and independence of a system of axioms?
168
c) Quantum theory of index formulas
169
d) A
tentative list and grouping of axioms
170
e) First considerations concerning the importance of axioms/test and the
174
time reversal test
f) Comments on the meaning and significance of some basic axioms I:
175
determinateness, commensurability and dimensionality
g) Comments on the meaning and significance of some basic axioms II:
176
identity, a first look at
monotonicity,
and proportionality
h) Logical relations among the most fundamental axioms
179
i) A tentative ranking of axioms in terms of importance
180
j) First example of uniqueness theorems and an inconsistency theorem
183
3.2
Fundamental axioms and their interpretation
185
a) The meaning of strict and weak
monotonicity
185
b) Additivity
and multiplicativity as special cases of strict
monotonicity
190
c)
Generalization of Bortkiewicz's theorem for additive indices
194
d) Mean value property (mean value test for price relatives)
196
e) Relations between
monotonicity,
proportionality and mean value prop-
197
erty
f) The meaning of linear homogeneity
199
g) Linear homogeneity and proportionality
200
h) Linear homogeneity,
monotonicity
and mean value property
203
¡)
Proportionality with respect to quantity indices, the "value index preserv-
205
ing test"
j) "Value dependence test", another uniqueness theorem for Fisher's ideal
206
index
k) Some new tests in the tradition of Fisher's reversal tests: Partial
rever-
207
sals
&
additional uniqueness theorems concerning Fisher's ideal index
I) Some weak versions of the circular test, and inconsistencies between
213
some of Fisher's reversal tests and the circular test
3.3
Systems of axioms
216
a) Irving Fisher's system of axioms (tests)
216
b) A system of minimum requirements of an index by Marco Martini
219
c) Two systems of axioms established by
Eichhorn
and Voeller
220
d) Combinations of index formulas and transformations of data vectors
223
e) Some additional axiomatic systems of B.
Olt
and final remarks on the
224
choice between systems of axioms
3.4
Log-change index numbers I: Cobb-Douglas- and
226
Törnqvist-index
a) Growth rates, log changes, and new index formulas on the basis of log
226
changes
b) Cobb Douglas index PCD, constant weights and the circular test
229
c) The circular test and a characterization (uniqueness theorem) of PCD
234
d) The
Törnqvist
index, an "unbiased" index formula in a system of six
indi-
236
ces
e)
Quantitative relations between six indices
241
f) Three unbiased and superlative indices
241
3.5
Log-change index numbers II: Vartia's index formulas
243
a) Aggregation of log changes and the logarithmic mean
243
b) The Vartia-I index (PV1)
246
c) The Vartia-ll index
(Pvź)
247
d)
Properties of Vartia indices
249
3.6
Ideal index functions and Theil's Best Linear Index
(BLI)
255
a) Three-component model of value change (the structural component)
255
b) Distribution of the structural component (additive model): Stuvel's solu-
257
tion
c)
Distribution of the structural component (multiplicative model): Fisher's
258
solution
d) Aggregation of a two component multiplicative micro-model: Vartia's
258
solution
e) Brief introduction into Theil's Best Linear Index
(BLI)
261
Price collection and index systems in official statistics
263
4.1
The set up of a system of price quotations and price indices in
263
official statistics
a) The role of official statistics
263
b) The implementation of a system of surveys in price statistics
264
c) Some general remarks concerning the structure of a system of indices
267
d) The German system of index calculations in official statistics
268
4.2
Quality adjustment in price statistics
271
a) Need for quality adjustment
271
b) For what kind of changes should adjustments be made?
274
(Identification problem)
c)
Typology of quality changes and adjustment methods
276
d) Digression: numerical example for the implicit methods: quality adjust-
284
ment
by a proportional change of the observed price
e) More comments on selected methods
287
f) Comments on the hedonic method
291
4.3
Sampling in price statistics
299
a) Random sampling: why and what?
299
b) Random selection of localities and outlets, derivation of weights from
302
budget surveys of private households
c) Sampling of goods, new goods and the use of scanner data
304
d) Sampling designs in general and methods applied in
official
consumer
306
price statistics
e) The Generalized Fisher index
310
f) Accuracy of a price index
313
5
Deflation and aggregation
315
5.1
Introduction to deflation methods
315
a) Objectives and types of deflation
315
b) Direct and indirect volume measurement, new products
318
c) Inflation measurement and deflation (volume measurement)
320
d) Deflating National Accounts aggregates
321
e) Quantities and qualities, price level and price structure
323
f) Deflation in terms of "real income"
324
g) Terms of trade effect
324
h) The choice of "the" deflator (the notion of the "general price level")
326
5.2
Deflation in volume terms, aggregation and double deflation
328
a) Interpretation of "volumes", axiomatic considerations
328
b) Double (indirect) deflation method
333
c) Aggregative properties of Index functions and deflation methods
337
d) Consistency in aggregation (aggregative consistency of the index
fune-
338
tion.AI)
e) Equality test
(ET)
343
f)
Structural consistency of volumes (A2), a case for using Paasche
indi-
344
ces
in deflation
g) Some new results concerning aggregative consistency (v. Auer)
347
5.3
Harmonization of deflation methodology in Europe
350
a) General approach to harmonization of deflation methods In the
EU
350
b)
Aggregates related to the "production approach"
352
c) Aggregates related to the "expenditure approach"
354
d) Summary of the HVM and some remarks concerning direct volume
357
measurement by extrapolation of output indicators
e) Move from "fixed base" indices to chain indices
5.4
Fisher's ideal index far from being ideal
a) Fisher deflation (direct Fisher price indices) and quantity movement
b) Structural inconsistency of Fisher
-
deflation
c) The chained Fisher's ideal index as deflator
d) Fisher's ideal index all but "ideal"
6
Price
indices
and unit value indices in official statistics
371
6.1
The Consumer Price Index
(CPI)
and the Harmonized Index of
371
Consumer Prices (HICP) in Europe
a) Political need for harmonization of
CPI
complications in Europe
371
b) Main aspects of index construction that need to be harmonized
372
c) The harmonization strategy
375
d) Rules for the Harmonized Index of Consumer Prices (HICP)
377
e) Aggregation over time (the chain index approach)
384
f) The Monetary Union (EMU) Index of Consumer Prices (MUICP)
387
6.2
Some controversial issues in inflation measurement
390
a) Core inflation and "net price indices"
390
b) Asset inflation and "total inflation"
393
c) The treatment of owner occupied dwelling (OOD)
397
6.3
Producer Price Indices
(PPI)
405
a) Price indices in agriculture
406
b) Producer Price Index
(PPI)
for the Production Industries
411
c) Price indices for buildings, improvement of dwellings and other construe-
412
tion
work
6.4
Price indices and unit value indices, foreign trade and
415
wage indices
a) Unit value vs. price indices
416
b) Difference between unit value indices and price indices in foreign trade
425
statistics
c) Indices of wages and salaries as price indices or unit value indices
427
7
Chain indices
429
7.1
Arguments in favour of the chain index approach
429
a) Overview of arguments for chain indices and some general observations
429
concerning the arguments of chainers
b) Arguments of group A: Focus on links rather than on the chain
433
c) Group
В
arguments: Ambiguities concerning the notion of "base"
439
d) Group
С
arguments: Adjustment of weights, new products and changes
447
in quality
e) Group
D
arguments referring to expected and desired results of index
450
calculations
f) Chain indices recommended for deflation (SNA, argument of type E)
452
g) Concluding remarks concerning the nature of the arguments
452
7.2
Properties of chain indices
456
a) Introduction
456
b) Chain price indices and the two traditional interpretations of a price in-
458
dex
c) No identity and
monotonicity:
axioms apply to links only (not to the
462
chain)
d) Cyclical movement of prices
464
e) No transitivity but path dependence
466
f) Nonlinearity (the determinants of an increase/decrease of the price
469
level)
g) Inconsistency in aggregation
474
h) No structural consistency (of volumes) and proportionality in quantities
476
і)
Determinants of the drift (drift-function, temporal correlation, growth
fac-
480
tors)
j) Justification of chainlinking, uniqueness theorem of
Funke et
al. con-
485
cerning
the Cobb-Douglas index
k)
Aspects of official statistics: cost-benefit-considerations, understandabi-
487
lity,
and a system of chain indices
8
Interspatial
comparisons of prices and volumes
497
8.1
Introduction into
interspatial
comparisons
497
a) Differences between
intertemporal
and
interspatial
comparisons
497
b) Uses and limitations of international price comparisons; PPPs and ex-
501
change rates
c) Bilateral and multilateral price comparisons
d) Some methods of bilateral international comparisons
e) Consistency in multinational comparisons (the meaning of transitivity)
f) Conditions, axioms and required properties in multinational comparisons
g) Engel-Gerschenkron effect, Paasche
-
Laspeyres
-
Spread
8.2
Overview of methods proposed for multinational comparisons
a) Introduction into methods to solve the transitivity problem
b) Evaluation of methods adequate for intra-EU comparisons
c) Block methods: Geary-Khamis (GK) method
d) The method of "minimum spanning trees" (MST-Method)
e) Short comments on some other methods
8.3
"Block methods" (Geary-Khamis etc.) for multinational compari¬
sons
a) The Central Country Method (CCM)
b) The Geary-Khamis (GK) approach to multinational comparisons
c) The (balanced) method of van Yzeren
d) Short remarks concerning further variants of the block-of-countries ap¬
proach
8.4
Averaging methods (generalizations of the binary case) for mul¬
tinational comparisons and related methods
a) Generalization of country reversible index functions
b) The EKS-method to provide transitive PPPs
c) The Caves-Christensen-Diewert
(CCD)
-
method
d) Models based approaches
e) Multilateral generalized
Tömqvist
method (MGT)
References
This textbook integrates mathematical index theory and its application in official
price statistics. It tries to bridge theory and practice, due to the apparent di¬
vergence between mathematicians with ever more sophisticated and complex
models and practitioners with problems that are more and more difficult to
understand without broad knowledge and some experience. The text offers
an introduction into axiomatic,
microeconomic
and stochastic reasoning as
regards index numbers, with moderately difficult mathematics. H also sum¬
marizes many ongoing discussions concerning methodological merits and
demerits of specific indices, such as consumer price-, producer price-, unit
value- and chain indices, in official price statistics. The book is comprehensive
and presents a readable overview of a great number of topics in modern price
index theory and their application in inflation measurement, deflation of aggre¬
gates in National Accounts, sampling and quality adjustment in price collection
and other important though controversial issues. |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Lippe, Peter von der 1942-2016 |
| author_GND | (DE-588)121138615 |
| author_facet | Lippe, Peter von der 1942-2016 |
| author_role | aut |
| author_sort | Lippe, Peter von der 1942-2016 |
| author_variant | p v d l pvd pvdl |
| building | Verbundindex |
| bvnumber | BV022873916 |
| callnumber-first | H - Social Science |
| callnumber-label | HB225 |
| callnumber-raw | HB225 |
| callnumber-search | HB225 |
| callnumber-sort | HB 3225 |
| callnumber-subject | HB - Economic Theory and Demography |
| classification_rvk | QH 238 |
| ctrlnum | (OCoLC)182562786 (DE-599)DNB985364807 |
| dewey-full | 330.015195 338.5/28 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 330 - Economics 338 - Production |
| dewey-raw | 330.015195 338.5/28 |
| dewey-search | 330.015195 338.5/28 |
| dewey-sort | 3330.015195 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| discipline_str_mv | Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV022873916 |
| illustrated | Illustrated |
| index_date | 2024-07-02T18:48:24Z |
| indexdate | 2024-07-09T21:07:28Z |
| institution | BVB |
| isbn | 9783631563175 3631563175 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016078983 |
| oclc_num | 182562786 |
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| owner_facet | DE-739 DE-12 DE-355 DE-BY-UBR DE-521 DE-2070s DE-188 DE-706 |
| physical | XX, 572 S. Ill., graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Lang |
| record_format | marc |
| spelling | Lippe, Peter von der 1942-2016 Verfasser (DE-588)121138615 aut Index theory and price statistics Peter von der Lippe Frankfurt am Main [u.a.] Lang 2007 XX, 572 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Index theory (Mathematics) Price indexes Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Preisstatistik (DE-588)4191592-6 gnd rswk-swf Indextheorie (DE-588)4161489-6 gnd rswk-swf Preisstatistik (DE-588)4191592-6 s Indextheorie (DE-588)4161489-6 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016078983&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016078983&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Lippe, Peter von der 1942-2016 Index theory and price statistics Index theory (Mathematics) Price indexes Numerisches Verfahren (DE-588)4128130-5 gnd Preisstatistik (DE-588)4191592-6 gnd Indextheorie (DE-588)4161489-6 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4191592-6 (DE-588)4161489-6 |
| title | Index theory and price statistics |
| title_auth | Index theory and price statistics |
| title_exact_search | Index theory and price statistics |
| title_exact_search_txtP | Index theory and price statistics |
| title_full | Index theory and price statistics Peter von der Lippe |
| title_fullStr | Index theory and price statistics Peter von der Lippe |
| title_full_unstemmed | Index theory and price statistics Peter von der Lippe |
| title_short | Index theory and price statistics |
| title_sort | index theory and price statistics |
| topic | Index theory (Mathematics) Price indexes Numerisches Verfahren (DE-588)4128130-5 gnd Preisstatistik (DE-588)4191592-6 gnd Indextheorie (DE-588)4161489-6 gnd |
| topic_facet | Index theory (Mathematics) Price indexes Numerisches Verfahren Preisstatistik Indextheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016078983&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016078983&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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