Goodness of fit tests and model validity:
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Boston ; Basel ; Berlin
Birkhäuser
2002
|
| Series: | Statistics for industry and technology
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXXIII, 507 S. graph. Darst. : 26 cm |
| ISBN: | 3764342099 0817642099 |
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| 245 | 1 | 0 | |a Goodness of fit tests and model validity |c C. Huber-Carol ... eds. |
| 264 | 1 | |a Boston ; Basel ; Berlin |b Birkhäuser |c 2002 | |
| 300 | |a XXXIII, 507 S. |b graph. Darst. : 26 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Statistics for industry and technology | |
| 500 | |a Literaturangaben | ||
| 650 | 7 | |a Geldigheid |2 gtt | |
| 650 | 7 | |a Statistische modellen |2 gtt | |
| 650 | 4 | |a Goodness-of-fit tests |v Congresses | |
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CONTENTS
PREFACE
XVII
CONTRIBUTORS
XIX
LIST
OF
TABLES
XXVII
LIST
OF
FIGURES
XXXIII
P
ART
I:
H
ISTORY
AND
F
UNDAMENTALS
1
KARL
PEARSON
AND
THE
CHI-SQUARED
TEST
3
D.
R.
COX
1.1
KARL
PEARSON
1857-1937:
BACKGROUND
TO
THE
CHI-SQUARED
PAPER
3
1.2
K.
P.:
AFTER
CHI-SQUARED
5
1.3
THE
1900
PAPER
5
1.4
IMPORTANCE
OF
THE
CHI-SQUARED
TEST
6
REFERENCES
8
2
KARL
PEARSON
CHI-SQUARE
TEST
-
THE
DAWN
OF
STATISTICAL
INFERENCE
9
C.
R.
RAO
2.1
INTRODUCTION
9
2.2
LARGE
SAMPLE
CRITERIA:
THE
HOLY
TRINITY
11
2.2.1
LIKELIHOOD
RATIO
CRITERION
11
2.2.2
WALD
TEST
12
2.2.3
RAO
'
S
SCORE
TEST
12
2.3
SPECIFICATION
TESTS
FOR
A
MULTINOMIAL
DISTRIBUTION
13
2.3.1
TEST
OF
A
SIMPLE
HYPOTHESIS
13
2.3.2
TESTS
OF
A
COMPOSITE
HYPOTHESIS
14
2.3.3
TEST
FOR
GOODNESS-OF-FIT
IN
A
SUBSET
OF
CELLS
15
2.3.4
ANALYSIS
OF
CHI-SQUARE
17
2.3.5
SOME
APPLICATIONS
OF
THE
CHI-SQUARE
TEST
18
2.4
OTHER
TESTS
OF
GOODNESS-OF-FIT
18
VI
CONTENTS
2.5
SPECIFICATION
TESTS
FOR
CONTINUOUS
DISTRIBUTIONS
20
REFERENCES
22
3
APPROXIMATE
MODELS
25
PETER
J.
HUBER
3.1
MODELS
25
3.2
BAYESIAN
MODELING
27
3.3
MATHEMATICAL
STATISTICS
AND
APPROXIMATE
MODELS
29
3.4
STATISTICAL
SIGNIFICANCE
AND
RELEVANCE
31
3.5
COMPOSITE
MODELS
32
3.6
THE
ROLE
OF
SIMULATION
38
3.7
SUMMARY
CONCLUSIONS
40
REFERENCES
40
P
ART
II:
C
HI
-S
QUARED
T
EST
4
PARTITIONING
THE
PEARSON-FISHER
CHI-SQUARED
GOODNESS-OF-FIT
STATISTIC
45
G.
D.
RAYNER
4.1
INTRODUCTION
45
4.2
NEYMAN
SMOOTH
GOODNESS-OF-FIT
TESTS
46
4.2.1
SMOOTH
GOODNESS-OF-FIT
TESTS
FOR
CATEGORIZED
DATA
47
4.2.2
PARTITIONING
THE
PEARSON-FISHER
CHI-SQUARED
STATISTIC
48
4.3
CONSTRUCTING
THE
PEARSON-FISHER
DECOMPOSITION
49
4.4
SIMULATION
STUDY
50
4.5
RESULTS
AND
DISCUSSION
51
REFERENCES
55
5
STATISTICAL
TESTS
FOR
NORMAL
FAMILY
IN
PRESENCE
OF
OUTLYING
OBSERVATIONS
57
AICHA
ZERBET
5.1
THE
CHI-SQUARED
TEST
OF
NORMALITY
IN
THE
UNIVARIATE
CASE
57
5.1.1
EXAMPLE:
ANALYSIS
OF
THE
DATA
OF
MILLIKEN
59
5.2
BOL
'
SHEV
TEST
FOR
OUTLIERS
59
5.2.1
STAGES
OF
APPLICATIONS
OF
THE
TEST
OF
BOL
'
SHEV
60
5.2.2
EXAMPLE
2:
ANALYSIS
OF
THE
DATA
OF
DANIEL
(1959)
60
5.3
POWER
OF
THE
CHI-SQUARED
TEST
61
REFERENCES
63
CONTENTS
6
CHI-SQUARED
TEST
FOR
THE
LAW
OF
ANNUAL
DEATH
RATES:
CASE
WITH
CENSURE
FOR
LIFE
INSURANCE
FILES
65
LEO
GERVILLE-REACHE
6.1
INTRODUCTION
65
6.2
CHI-SQUARED
GOODNESS-OF-FIT
TEST
66
6.2.1
STATISTICS
WITH
CENSURE
66
6.2.2
GOODNESS-OF-FIT
TEST
FOR
A
COMPOSITE
HYPOTHESIS
67
6.3
DEMONSTRATION
68
REFERENCES
69
P
ART
III:
G
OODNESS
-
OF
-F
IT
T
ESTS
FOR
P
ARAMETRIC
D
ISTRIBUTIONS
7
SHAPIRO-WILK
TYPE
GOODNESS-OF-FIT
TESTS
FOR
NORMALITY:
ASYMPTOTICS
REVISITED
73
PRANAB
KUMAR
SEN
7.1
INTRODUCTION
73
7.2
PRELIMINARY
NOTION
74
7.3
SOADR
RESULTS
FOR
BLUE
AND
LSE
77
7.4
ASYMPTOTICS
FOR
W*
81
7.5
ASYMPTOTICS
UNDER
ALTERNATIVES
85
REFERENCES
87
8
A
TEST
FOR
EXPONENTIALITY
BASED
ON
SPACINGS
FOR
PROGRESSIVELY
TYPE-II
CENSORED
DATA
89
N.
BALAKRISHNAN,
H.
K.
T.
NG,
AND
N.
KANNAN
8.1
INTRODUCTION
89
8.2
PROGRESSIVE
CENSORING
91
8.3
TEST
FOR
EXPONENTIALITY
92
8.3.1
NULL
DISTRIBUTION
OF
T
93
8.4
POWER
FUNCTION
APPROXIMATION
AND
SIMULATION
RESULTS
95
8.4.1
APPROXIMATION
OF
POWER
FUNCTION
95
8.4.2
MONTE
CARLO
POWER
COMPARISON
97
8.5
MODIFIED
EDF
AND
SHAPIRO-WILK
STATISTICS
98
8.6
TWO-PARAMETER
EXPONENTIAL
CASE
99
8.7
ILLUSTRATIVE
EXAMPLES
100
8.7.1
EXAMPLE
1:
ONE-PARAMETER
EXPONENTIAL
CASE
100
8.7.2
EXAMPLE
2:
TWO-PARAMETER
EXPONENTIAL
CASE
101
8.8
MULTI-SAMPLE
EXTENSION
102
8.9
CONCLUSIONS
103
REFERENCES
103
VIII
CONTENTS
9
GOODNESS-OF-FIT
STATISTICS
FOR
THE
EXPONENTIAL
DISTRIBUTION
WHEN
THE
DATA
ARE
GROUPED
113
SNEH
GULATI
AND
JORDAN
NEUS
9.1
INTRODUCTION
113
9.2
THE
MODEL
AND
THE
TEST
STATISTICS
115
9.3
ASYMPTOTIC
DISTRIBUTION
116
9.4
POWER
STUDIES
119
REFERENCES
122
10
CHARACTERIZATION
THEOREMS
AND
GOODNESS-OF-FIT
TESTS
125
CAROL
E.
MARCHETTI
AND
GOVIND
S.
MUDHOLKAR
10.1
INTRODUCTION
AND
SUMMARY
126
10.2
CHARACTERIZATION
THEOREMS
127
10.2.1
ENTROPY
CHARACTERIZATIONS
127
10.2.2
STATISTICAL
INDEPENDENCE
128
10.3
MAXIMUM
ENTROPY
TESTS
130
10.4
FOUR
Z
TESTS
131
10.5
BYPRODUCTS:
THE
G-IG
ANALOGIES
134
REFERENCES
137
11
GOODNESS-OF-FIT
TESTS
BASED
ON
RECORD
DATA
AND
GENERALIZED
RANKED
SET
DATA
143
BARRY
C.
ARNOLD,
ROBERT
J.
BEAVER,
ENRIQUE
CASTILLO,
AND
JOSE
MARIA
SARABIA
11.1
INTRODUCTION
143
11.2
RECORD
DATA
144
11.3
GENERALIZED
RANKED
SET
DATA
144
11.4
POWER
150
11.5
COMPOSITE
NULL
HYPOTHESES
154
11.6
REMARKS
156
REFERENCES
156
P
ART
IV:
R
EGRESSION
AND
G
OODNESS
-
OF
-F
IT
T
ESTS
12
GIBBS
REGRESSION
AND
A
TEST
OF
GOODNESS-OF-FIT
161
LYNNE
SEYMOUR
12.1
INTRODUCTION
161
12.2
THE
MOTIVATION
AND
THE
MODEL
162
12.3
APPLICATION
AND
EVALUATION
OF
THE
MODEL
165
12.4
DISCUSSION
169
REFERENCES
170
CONTENTS
IX
13
A
CLT
FOR
THE
L_2
NORM
OF
THE
REGRESSION
ESTIMATORS
UNDER
CU-MIXING:
APPLICATION
TO
G-O-F
TESTS
173
CHEIKH
A.
T.
DIACK
13.1
INTRODUCTION
173
13.2
ESTIMATORS
174
13.3
A
LIMIT
THEOREM
175
13.4
INFERENCE
177
13.5
PROOFS
178
REFERENCES
183
14
TESTING
THE
GOODNESS-OF-FIT
OF
A
LINEAR
MODEL
IN
NONPARAMETRIC
REGRESSION
185
ZAHER
MOHDEB
AND
ABDELKADER
MOKKADEM
14.1
INTRODUCTION
185
14.2
THE
TEST
STATISTIC
186
14.3
SIMULATIONS
189
REFERENCES
193
15
A
NEW
TEST
OF
LINEAR
HYPOTHESIS
IN
REGRESSION
195
Y.
BARAUD,
S.
HUET,
AND
B.
LAURENT
15.1
INTRODUCTION
195
15.2
THE
TESTING
PROCEDURE
196
15.2.1
DESCRIPTION
OF
THE
PROCEDURE
197
15-2.2
BEHAVIOR
OF
THE
TEST
UNDER
THE
NULL
HYPOTHESIS
198
15.2.3
A
TOY
FRAMEWORK:
THE
CASE
OF
A
KNOWN
VARIANCE
198
15.3
THE
POWER
OF
THE
TEST
198
15.3.1
THE
MAIN
RESULT
198
15.3.2
RATES
OF
TESTING
199
15.4
SIMULATIONS
201
15.4.1
THE
SIMULATION
EXPERIMENT
201
15.4.2
THE
TESTING
PROCEDURE
202
15.4.3
THE
TEST
PROPOSED
BY
HOROWITZ
AND
SPOKOINY
(2000)
202
15.4.4
RESULTS
OF
THE
SIMULATION
STUDY
203
15.5
PROOFS
203
15.5.1
PROOF
OF
THEOREM
15.3.1
203
15.5.2
PROOF
OF
COROLLARY
15.3.1
204
REFERENCES
206
X
CONTENTS
P
ART
V:
G
OODNESS
-
OF
-F
IT
T
ESTS
IN
S
URVIVAL
A
NALYSIS
AND
R
ELABILITY
16
INFERENCE
IN
EXTENSIONS
OF
THE
COX
MODEL
FOR
HETEROGENEOUS
POPULATIONS
211
ODILE
PONS
16.1
INTRODUCTION
211
16.2
NON-STATIONARY
COX
MODEL
212
16.3
VARYING-COEFFICIENT
COX
MODEL
219
REFERENCES
224
17
ASSUMPTIONS
OF
A
LATENT
SURVIVAL
MODEL
227
MEI-LING
TING
LEE
AND
G.
A.
WHITMORE
17.1
INTRODUCTION
227
17.2
LATENT
SURVIVAL
MODEL
228
17.3
DATA
AND
PARAMETER
ESTIMATION
229
17.4
MODEL
VALIDATION
METHODS
230
17.5
REMEDIES
TO
ACHIEVE
A
BETTER
MODEL
FIT
233
REFERENCES
235
18
GOODNESS-OF-FIT
TESTING
FOR
THE
COX
PROPORTIONAL
HAZARDS
MODEL
237
KARTHIK
DEVARAJAN
AND
NADER
EBRAHIMI
18.1
INTRODUCTION
237
18.2
GOODNESS-OF-FIT
TESTING
FOR
THE
COX
PH
MODEL
240
18.3
COMPARISON
OF
THE
PROPOSED
GOODNESS-OF-FIT
TEST
WITH
EXISTING
METHODS
242
18.4
ILLUSTRATION
OF
THE
GOODNESS-OF-FIT
TEST
USING
REAL-LIFE
DATA
249
18.5
CONCLUDING
REMARKS
250
REFERENCES
251
19
A
NEW
FAMILY
OF
MULTIVARIATE
DISTRIBUTIONS
FOR
SURVIVAL
DATA
255
SHULAMITH
T.
GROSS
AND
CATHERINE
HUBER-CAROL
19.1
INTRODUCTION
255
19.2
FRAILTY
MODELS:
AN
OVERVIEW
255
19.3
THE
MODEL
257
19.4
AN
APPLICATION
TO
SKIN
GRAFTS
REJECTION
261
19.4.1
DESCRIPTION
OF
THE
DATA
261
REFERENCES
264
CONTENTS
XI
20
DISCRIMINATION
INDEX,
THE
AREA
UNDER
THE
ROC
CURVE
267
BYUNG-HO
NAM
AND
RALPH
B.
D
'
AGOSTINO
20.1
INTRODUCTION
268
20.2
NONPARAMETRIC
CONFIDENCE
INTERVAL
FOR
AREA
UNDER
THE
ROC
CURVE
269
20.2.1
DISCRIMINATION
IN
LOGISTIC
REGRESSION
269
20.2.2
ESTIMATION
OF
THE
SHIFT
PARAMETER
A
UNDER
THE
SHIFT
MODEL
271
20.2.3
CONFIDENCE
INTERVAL
FOR
THE
AREA
UNDER
THE
ROC
CURVE
272
20.3
EXTENSION
OF
C
STATISTIC
TO
SURVIVAL
ANALYSIS
273
APPENDIX
277
REFERENCES
279
21
GOODNESS-OF-FIT
TESTS
FOR
ACCELERATED
LIFE
MODELS
281
VILIJANDAS
BAGDONAVICIUS
AND
MIKHAIL
S.
NIKULIN
21.1
INTRODUCTION
281
21.2
GENERALIZED
SEDYAKIN
'
S
MODEL
282
21.3
ALTERNATIVES
TO
THE
GS
MODEL
286
21.3.1
PROPORTIONAL
HAZARDS
MODEL
286
21.3.2
MODEL
INCLUDING
INFLUENCE
OF
SWITCH-UP
'
S
OF
STRESSES
ON
RELIABILITY
287
21.4
TEST
STATISTIC
FOR
THE
GS
MODEL
287
21.5
ASYMPTOTIC
DISTRIBUTION
OF
THE
TEST
STATISTIC
288
21.6
THE
TEST
293
21.7
CONSISTENCY
AND
THE
POWER
OF
THE
TEST
AGAINST
APPROACHING
ALTERNATIVES
293
REFERENCES
296
P
ART
VI:
G
RAPHICAL
M
ETHODS
AND
G
ENERAL
G
OODNESS
-
OF
-F
IT
T
ESTS
22
TWO
NONSTANDARD
EXAMPLES
OF
THE
CLASSICAL
STRATIFICATION
APPROACH
TO
GRAPHICALLY
ASSESSING
PROPORTIONALITY
OF
HAZARDS
301
NIELS
KEIDING
22.1
INTRODUCTION
301
22.2
SOME
APPROACHES
TO
TESTING
PROPORTIONALITY
OF
HAZARDS
302
22.3
"
PROPORTIONALITY
"
IN
DISCRETE-TIME
REGRESSION
FOR
RETRO-HAZARD
303
XII
CONTENTS
22.4
THE
RENEWAL
ASSUMPTION
IN
MODULATED
RENEWAL
PROCESSESS
304
REFERENCES
308
23
ASSOCIATION
IN
CONTINGENCY
TABLES,
CORRESPONDENCE
ANALYSIS,
AND
(MODIFIED)
ANDREWS
PLOTS
311
RAVINDRA
KHATTREE
AND
DYANAND
N.
NAIK
23.1
INTRODUCTION
311
23.2
(MODIFIED)
ANDREWS
PLOTS
IN
CORRESPONDENCE
ANALYSIS
313
23.3
SOME
EXAMPLES
314
23.4
MODIFIED
ANDREWS
PLOTS
AND
RAO
'
S
CORRESPONDENCE
ANALYSIS
320
23.5
CONCLUSIONS
325
REFERENCES
325
24
ORTHOGONAL
EXPANSIONS
AND
DISTINCTION
BETWEEN
LOGISTIC
AND
NORMAL
327
CARLES
M.
CUADRAS
AND
DANIEL
CUADRAS
24.1
INTRODUCTION
327
24.2
ORTHOGONAL
EXPANSION
IN
PRINCIPAL
COMPONENTS
328
24.3
MAXIMUM
CORRELATION
FOR
THE
LOGISTIC
DISTRIBUTION
331
24.4
DISTINCTION
BETWEEN
LOGISTIC
AND
NORMAL
333
REFERENCES
339
25
FUNCTIONAL
TESTS
OF
FIT
341
DENIS
BOSQ
25.1
INTRODUCTION
341
25.2
BEHAVIOUR
OF
||T
N
||
IN
DISTRIBUTION
342
25.3
CONSISTENCY
OF
FTF
TESTS
AND
RATE
OF
CONVERGENCE
344
25.4
ADJACENT
HYPOTHESIS
346
25.5
CHOOSING
A
KERNEL
347
25.6
LOCAL
EFFICIENCY
OF
FTF
TESTS
348
25.7
INDICATIONS
CONCERNING
THE
PROOFS
351
25.8
SIMULATIONS
352
REFERENCES
355
26
QUASI
MOST
POWERFUL
INVARIANT
TESTS
OF
GOODNESS-OF-FIT
357
GILLES
R.
DUCHARME
AND
BENOIT
FRICHOT
26.1
INTRODUCTION
357
26.2
LAPLACE
APPROXIMATION
358
26.3
QUASI
MOST
POWERFUL
INVARIANT
TEST
359
REFERENCES
360
CONTENTS
XIII
P
ART
VII:
M
ODEL
V
ALIDITY
IN
Q
UALITY
OF
L
IFE
27
TEST
OF
MONOTONICITY
FOR
THE
RASCH
MODEL
365
JEAN
BRETAGNOLLE
27.1
RESULTS
OF
THE
LITERATURE
365
27.2
EXTENSION
OF
HOEFFDING
RESULT
366
27.3
A
QUESTIONNAIRE
MODEL
366
27.4
SIMULATIONS
ABOUT
THE
LEVEL
IN
THE
CONDITIONAL
TEST
CASE
368
27.5
SIMULATIONS
ABOUT
THE
POWER
UNDER
HA
369
27.6
CONCLUSION
369
REFERENCES
369
28
VALIDATION
OF
MODEL
ASSUMPTIONS
IN
QUALITY
OF
LIFE
MEASUREMENTS
371
A.
HAMON,
J.
F.
DUPUY,
AND
M.
MESBAH
28.1
INTRODUCTION
371
28.2
CLASSICAL
THEORY
372
28.3
SIP
MOBILITY
DATA
(I)
373
28.4
THE
RASCH
MODEL
375
28.4.1
GOODNESS-OF-FIT
TESTS
375
28.4.2
A
GRAPHICAL
METHOD
378
28.5
SIP
MOBILITY
DATA
(II)
378
28.6
CONCLUSION
382
REFERENCES
382
P
ART
VIII:
T
ESTS
OF
H
YPOTHESES
AND
E
STIMATION
WITH
A
PPLICATIONS
29
ONE-SIDED
HYPOTHESES
IN
A
MULTINOMIAL
MODEL
RICHARD
M.
DUDLEY
AND
DOMINIQUE
M.
HAUGHTON
387
29.1
INTRODUCTION
387
29.2
PUTTING
MULTIPLE
DATA
SETS
INTO
AN
I.I.D.
FORM
388
29.3
MODEL
SELECTION
CRITERIA
388
29.4
APPLICATION
TO
2
X
2
CONTINGENCY
TABLES
390
29.5
COMMON
ODDS
RATIO
PROFILE
LIKELIHOODS
391
29.6
JEFFREYS
PRIORS
FOR
MIXTURE
MODELS
391
29.7
POSTERIOR
PROBABILITIES
THAT
MODELS
ARE
BEST
393
29.8
DATA
ON
LONG-TERM
ASPIRIN
THERAPY
AFTER
AN
MI
394
29.9
NUMERICAL
RESULTS
395
29.10
DISCUSSION
AND
CONCLUSIONS
396
REFERENCES
397
XIV
CONTENTS
30
A
DEPTH
TEST
FOR
SYMMETRY
401
PETER
J.
ROUSSEEUW
AND
ANJA
STRUYF
30.1
INTRODUCTION
401
30.2
LOCATION
DEPTH
AND
ANGULAR
SYMMETRY
402
30.3
A
TEST
FOR
ANGULAR
SYMMETRY
405
30.4
REGRESSION
DEPTH
AND
LINEARITY
OF
THE
CONDITIONAL
MEDIAN
407
REFERENCES
411
31
ADAPTIVE
COMBINATION
OF
TESTS
413
YADOLAH
DODGE
AND
JANA
JURECKOVD
31.1
INTRODUCTION
413
31.2
ADAPTIVE
COMBINATION
OF
ESTIMATORS
415
31.3
ADAPTIVE
COMBINATION
OF
TESTS
417
31.3.1
ADAPTIVE
COMBINATION
OF
F-TEST
AND
MEDIAN-TYPE
TEST
420
31.3.2
ADAPTIVE
COMBINATION
OF
AFTEST
AND
MEDIAN-TYPE
TEST
421
REFERENCES
423
32
PARTIALLY
PARAMETRIC
TESTING
425
J.
C.
W.
RAYNER
32.1
PARTIALLY
PARAMETRIC
INFERENCE
425
32.2
S-SAMPLE
SMOOTH
TESTS
FOR
GOODNESS-OF-FIT
426
32.3
PARTIALLY
PARAMETRIC
ALTERNATIVES
TO
THE
T-TEST
428
32.4
TESTS
FOR
THE
LOCATION
OF
MODES
430
REFERENCES
432
33
EXACT
NONPARAMETRIC
TWO-SAMPLE
HOMOGENEITY
TESTS
435
JEAN-MARIE
DUFOUR
AND
ABDELJELIL
FARHAT
33.1
INTRODUCTION
435
33.2
TEST
STATISTICS
437
33.3
EXACT
RANDOMIZED
PERMUTATION
TESTS
440
33.4
SIMULATION
STUDY
442
33.5
CONCLUSION
444
REFERENCES
447
34
POWER
COMPARISONS
OF
SOME
NONPARAMETRIC
TESTS
FOR
LATTICE
ORDERED
ALTERNATIVES
IN
TWO-FACTOR
EXPERIMENTS
449
THU
HOANG
AND
VAN
L.
PARSONS
34.1
INTRODUCTION
449
34.2
HYPOTHESES
AND
TEST
STATISTICS
450
34.3
TEST
STATISTIC
POWER
EVALUATIONS
452
CONTENTS
XV
34.4
RESULTS
AND
CONCLUSIONS
455
APPENDIX
461
REFERENCES
461
35
TESTS
OF
INDEPENDENCE
WITH
EXPONENTIAL
MARGINALS
463
PAUL
DEHEUVELS
35.1
INTRODUCTION
463
35.2
KARHUNEN-LOEVE
EXPANSIONS
465
35.3
APPLICATIONS
TO
TESTS
OF
INDEPENDENCE
470
REFERENCES
472
36
TESTING
PROBLEM
FOR
INCREASING
FUNCTION
IN
A
MODEL
WITH
INFINITE
DIMENSIONAL
NUISANCE
PARAMETER
477
M.
NIKULIN
AND
V.
SOLEV
36.1
INTRODUCTION
477
36.2
CONSISTENCY
OF
THE
ESTIMATOR
0
N
483
36.3
ASYMPTOTIC
BEHAVIOR
OF
KERNEL
ESTIMATORS
OF
DENSITIES
486
REFERENCES
492
37
THE
CONCEPT
OF
GENERALIZED
ASYMPTOTIC
DEFICIENCY
AND
ITS
APPLICATION
TO
THE
MINIMUM
DISCREPANCY
ESTIMATION
495
M.
AKAHIRA
37.1
INTRODUCTION
495
37.2
THE
CONCEPT
OF
GENERALIZED
ASYMPTOTIC
DEFICIENCY
496
37.3
AN
APPLICATION
TO
THE
MINIMUM
DISCREPANCY
ESTIMATION
500
REFERENCES
502
INDEX
505 |
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| genre | (DE-588)1071861417 Konferenzschrift 2000 Paris gnd-content |
| genre_facet | Konferenzschrift 2000 Paris |
| id | DE-604.BV014445353 |
| illustrated | Illustrated |
| indexdate | 2024-12-06T09:03:26Z |
| institution | BVB |
| isbn | 3764342099 0817642099 |
| language | English |
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| owner_facet | DE-824 DE-703 |
| physical | XXXIII, 507 S. graph. Darst. : 26 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Statistics for industry and technology |
| spelling | Goodness of fit tests and model validity C. Huber-Carol ... eds. Boston ; Basel ; Berlin Birkhäuser 2002 XXXIII, 507 S. graph. Darst. : 26 cm txt rdacontent n rdamedia nc rdacarrier Statistics for industry and technology Literaturangaben Geldigheid gtt Statistische modellen gtt Goodness-of-fit tests Congresses Validität (DE-588)4062305-1 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Statistischer Test (DE-588)4077852-6 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2000 Paris gnd-content Statistischer Test (DE-588)4077852-6 s DE-604 Statistisches Modell (DE-588)4121722-6 s Validität (DE-588)4062305-1 s Huber-Carol, Catherine 1943- Sonstige (DE-588)123829518 oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009874025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goodness of fit tests and model validity Geldigheid gtt Statistische modellen gtt Goodness-of-fit tests Congresses Validität (DE-588)4062305-1 gnd Statistisches Modell (DE-588)4121722-6 gnd Statistischer Test (DE-588)4077852-6 gnd |
| subject_GND | (DE-588)4062305-1 (DE-588)4121722-6 (DE-588)4077852-6 (DE-588)1071861417 |
| title | Goodness of fit tests and model validity |
| title_auth | Goodness of fit tests and model validity |
| title_exact_search | Goodness of fit tests and model validity |
| title_full | Goodness of fit tests and model validity C. Huber-Carol ... eds. |
| title_fullStr | Goodness of fit tests and model validity C. Huber-Carol ... eds. |
| title_full_unstemmed | Goodness of fit tests and model validity C. Huber-Carol ... eds. |
| title_short | Goodness of fit tests and model validity |
| title_sort | goodness of fit tests and model validity |
| topic | Geldigheid gtt Statistische modellen gtt Goodness-of-fit tests Congresses Validität (DE-588)4062305-1 gnd Statistisches Modell (DE-588)4121722-6 gnd Statistischer Test (DE-588)4077852-6 gnd |
| topic_facet | Geldigheid Statistische modellen Goodness-of-fit tests Congresses Validität Statistisches Modell Statistischer Test Konferenzschrift 2000 Paris |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009874025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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