Adaptive sampling:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1996
|
| Schriftenreihe: | Wiley series in probability and statistics
A Wiley-Interscience publication |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 265 S. graph. Darst. |
| ISBN: | 0471558710 |
Internformat
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Datensatz im Suchindex
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| adam_text | IMAGE 1
ADAPTIVE SAMPLING
, Y * *
STEVEN K. THOMPSON THE PENNSYLVANIA STATE UNIVERSITY
GEORGE A. F. SEBER
THE UNIVERSITY OF AUCKLAND
N_
A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. NEW YORK *
CHICHESTER * BRISBANE * TORONTO * SINGAPORE
IMAGE 2
CONTENTS
PREFACE 1. INTRODUCTION AND PRELIMINARIES
1.1 ADAPTIVE SAMPLING, 1 1.2 SOME SURVEY SITUATIONS, 1 1.3 TYPES OF
SAMPLING DESIGNS, 4 N
1.4 APPROACHES TO INFERENCE IN SAMPLING, 5 1.5 OPTIMAL SAMPLING
STRATEGIES, 7 1.6 SOME MORE DETAILED EXAMPLES, 8 1.7 INDICATOR
FUNCTIONS, 12
1.8 DESIGN AND MODEL-UNBIASED ESTIMATORS, 14 1.8.1 DESIGN-UNBIASED
ESTIMATORS, 14 1.8.2 MODEL-UNBIASED ESTIMATORS, 18
1.9 UNEQUAL PROBABILITY SAMPLING, 19 1.9.1 HORVITZ-THOMPSON ESTIMATOR,
19 1.9.2 HANSEN-HURWITZ ESTIMATOR, 23
1.10 DISCRETE UNIFORM DISTRIBUTION, 25
2. FIXED-POPULATION SAMPLING THEORY
2.1 THE SAMPLING SITUATION, 29 2.2 NOTATION, 32, 2.3 LIKELIHOOD
FUNCTION, 34
2.4 SUFFICIENT STATISTICS, 35 2.5 RAO-BLACKWELL THEOREM, 40 2.6 COMPLETE
STATISTICS, 44 2.7 IGNORING THE LABELS, 46
2.8 BIAS OF CONVENTIONAL ESTIMATORS WITH ADAPTIVE 2.9 FINDING
DESIGN-UNBIASED STRATEGIES, 49
3. STOCHASTIC POPULATION SAMPLING THEORY
3.1 INTRODUCTION, 51 3.2 PROBABILITY DENSITY OF OUTCOMES, 51 3.3 JOINT
DENSITY OF OBSERVED AND UNOBSERVED, 56
IMAGE 3
VI
CONTENTS
3.4 PROBABILITY DENSITY OF THE DATA, 57 3.5 CONDITIONAL DENSITY OF
UNOBSERVED VALUES GIVEN THE DATA, 59 3.6 CONDITIONAL DENSITY OF Y GIVEN
THE SAMPLE, 60 3.7 DESIGN EXPECTATION (GIVEN THE REALIZATION), 61
3.8 MODEL EXPECTATION GIVEN THE SAMPLE, 62 3.9 PREDICTIVE OR BAYES
DENSITIES, 65 3.10 PREDICTIVE EXPECTATION (GIVEN THE DATA), 66 3.11
PREDICTIVE SUFFICIENCY, 70
3.12 PREDICTIVE SUFFICIENCY IN SAMPLING, 74 3.13 PREDICTIVE LIKELIHOODS,
77 3.14 BEST UNBIASED PREDICTORS, 83 3.15 HOMOGENEOUS LINEAR ESTIMATORS,
85
3.16 BEST LINEAR UNBIASED PREDICTION, 87 3.17 SPATIAL-TEMPORAL
EXTENSIONS, 88 3.18 NONSAMPLING ERRORS, 89
4. ADAPTIVE CLUSTER SAMPLING 93
4.1 INTRODUCTION, 93 4.2 INITIAL RANDOM SAMPLE WITHOUT REPLACEMENT, 93
4.2.1 AN ESTIMATOR USING INITIAL INTERSECTION PROBABILITIES, 94 4.2.2 AN
ESTIMATOR USING NUMBERS OF INITIAL INTERSECTIONS, 97
4.3 INITIAL RANDOM SAMPLE WITH REPLACEMENT, 100 4.4 INITIAL UNEQUAL
PROBABILITY SAMPLING, 100 4.5 APPLYING THE RAO-BLACKWELL METHOD, 108 4.6
EXPECTED SAMPLE SIZE AND COST, 111
4.6.1 EXAMPLES, 112 4.6.2 COMPARATIVE EFFICIENCIES, 119 4.7 PRIMARY AND
SECONDARY UNITS, 121 4.7.1 INTRODUCTION, 121
4.7.2 SIMPLE RANDOM SAMPLING OF PRIMARY UNITS, 123 4.7.3 EXAMPLES WITH
PRIMARY AND SECONDARY UNITS, 127 4.7.4 COMPARATIVE EFFICIENCIES, 129 4.8
SIMPLE LATIN SQUARE SAMPLING +1 DESIGNS, 130 4.9 STRATIFIED ADAPTIVE
CLUSTER SAMPLING, 134
4.9.1 EXAMPLES FOR STRATIFIED POPULATIONS, 139
5. EFFICIENCY AND SAMPLE SIZE ISSUES 149
5.1 INTRODUCTION, 149 5.2 ADAPTIVE VERSUS SIMPLE RANDOM SAMPLING, 149
5.3 WITHIN-NETWORK VARIATION, 151 5.4 SAMPLE SIZE AND COST ISSUES, 152
5.5 RARITY OF THE POPULATION, 155 5.6 ALTERNATIVE ESTIMATORS AND
DESIGNS, 157 5.7 SUMMARY OF FACTORS INFLUENCING EFFICIENCY, 159
IMAGE 4
CONTENTS VII
5.8 LIMITING SAMPLE SIZE AND DEALING WITH UNEXPECTED EXIGENCIES, 159
6. ADAPTIVE CLUSTER SAMPLING BASED ON ORDER STATISTICS 163
6.1 INTRODUCTION, 163 6.2 THE DESIGN, 164 6.3 UNBIASED ESTIMATION, 165
6.4 IMPROVED UNBIASED ESTIMATORS, 167 6.5 EXAMPLES, 169
7. ADAPTIVE ALLOCATION IN STRATIFIED SAMPLING 177
7.1 INTRODUCTION, 177 7.2 SAMPLE SIZES BASED ON INITIAL OBSERVATIONS IN
EACH STRATUM, 178 7.2.1 APPROXIMATELY OPTIMAL ALLOCATION, 178 7.2.2
UNBIASED ESTIMATION WITH THE RAO-BLACKWELL METHOD, 184
7.2.3 FIXED-WEIGHT STRATEGIES, 189 7.2.4 MODEL-BASED STRATIFIED
SAMPLING, 191 7.3 SAMPLE SIZES BASED ON OBSERVATIONS FROM PREVIOUS
STRATA, 192 7.3.1 DESIGN-UNBIASED ESTIMATION, 192
7.3.2 MODEL-UNBIASED ESTIMATION, 195
8. MULTIVARIATE ASPECTS OF ADAPTIVE SAMPLING 201
8.1 INTRODUCTION, 201 8.2 MULTIVARIATE CONDITIONS FOR ADDING
NEIGHBORHOODS, 202 8.3 DESIGN-UNBIASED ESTIMATION, 203 8.3.1 ESTIMATOR
BASED ON INTERSECTION PROBABILITIES, 203
8.3.2 ESTIMATOR BASED ON NETWORK SIZES, 205 8.3.3 ESTIMATORS BASED ON
THE RAO-BLACKWELL METHOD, 206 8.4 ADAPTIVE CLUSTER SAMPLING COMPARED TO
CONVENTIONAL SAMPLING, 208 8.5 RAPID ASSESSMENT VARIABLES, 209
9. DETECTABILITY IN ADAPTIVE SAMPLING 211
9.1 INTRODUCTION, 211 9.2 CONSTANT DETECTABILITY, 212 9.3 ESTIMATED
DETECTABILITY, 219 9.4 UNEQUAL DETECTABILITIES AND AN ARBITRARY
VARIABLE, 220
9.5 ESTIMATED DETECTABILITIES, 226 9.6 A NOTE ON WITH-REPLACEMENT
DESIGNS, 230 9.7 TAYLOR SERIES APPROXIMATIONS, 231
10. OPTIMAL SAMPLING STRATEGIES 235
10.1 INTRODUCTION, 235 10.2 FIXED POPULATION SETTING, 235
IMAGE 5
VUEI
CONTENTS
10.3 KNOWN POPULATION MODEL, 236 10.3.1 PHASES IN ADAPTIVE DESIGNS, 237
10.3.2 OPTIMAL TWO-PHASE STRATEGY, 237 10.3.3 OPTIMAL MULTIPHASE
STRATEGY, 245 10.3.4 OPTIMAL CHOICE OF SAMPLE SIZE, 247 10.4 PARTIALLY
KNOWN POPULATION MODEL, 249
10.4.1 COMBINED AND MODIFIED APPROACHES, 251
REFERENCES 253
INDEX 261
|
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| discipline | Informatik Soziologie Mathematik |
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| language | English |
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| spelling | Thompson, Steven K. Verfasser aut Adaptive sampling Steven K. Thompson ; George A. F. Seber New York [u.a.] Wiley 1996 XI, 265 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics A Wiley-Interscience publication Stichprobe (DE-588)4057502-0 gnd rswk-swf Adaptives Verfahren (DE-588)4310560-9 gnd rswk-swf Stichprobenplan (DE-588)4135130-7 gnd rswk-swf Stichprobenplan (DE-588)4135130-7 s Adaptives Verfahren (DE-588)4310560-9 s DE-604 Stichprobe (DE-588)4057502-0 s DE-188 Seber, George A. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007447956&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thompson, Steven K. Seber, George A. Adaptive sampling Stichprobe (DE-588)4057502-0 gnd Adaptives Verfahren (DE-588)4310560-9 gnd Stichprobenplan (DE-588)4135130-7 gnd |
| subject_GND | (DE-588)4057502-0 (DE-588)4310560-9 (DE-588)4135130-7 |
| title | Adaptive sampling |
| title_auth | Adaptive sampling |
| title_exact_search | Adaptive sampling |
| title_full | Adaptive sampling Steven K. Thompson ; George A. F. Seber |
| title_fullStr | Adaptive sampling Steven K. Thompson ; George A. F. Seber |
| title_full_unstemmed | Adaptive sampling Steven K. Thompson ; George A. F. Seber |
| title_short | Adaptive sampling |
| title_sort | adaptive sampling |
| topic | Stichprobe (DE-588)4057502-0 gnd Adaptives Verfahren (DE-588)4310560-9 gnd Stichprobenplan (DE-588)4135130-7 gnd |
| topic_facet | Stichprobe Adaptives Verfahren Stichprobenplan |
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