Design and inference in finite population sampling:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Wiley
1991
|
| Series: | A Wiley-Interscience publication
Wiley series in probability and mathematical statistics |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIII, 377 S. |
| ISBN: | 0471880736 |
Staff View
MARC
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| 245 | 1 | 0 | |a Design and inference in finite population sampling |c A. S. Hedayat ; Bikas K. Sinha |
| 264 | 1 | |a New York u.a. |b Wiley |c 1991 | |
| 300 | |a XIII, 377 S. | ||
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Record in the Search Index
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| adam_text | Contents
1. A Unified Setup for Probability Sampling 1
1.1. Preliminaries, 1
1.2. The Implementation of Sampling Designs: Notion of
Sampling Schemes, 5
1.3. Inclusion Probabilities of the Units and Their Relationship
with Mean and Variance of Sample Size Distribution, 11
Exercises, 15
References, 19
2. Inference in Finite Population Sampling 21
2.1. Preliminaries, 21
2.2. Decision Theoretic Approach: Role of Sampling Designs, 22
2.3. Some Existence and Nonexistence Results, 33
2.4. Discussion on Unicluster Sampling Designs, 38
2.5. Concluding Remarks, 39
Exercises, 40
References, 44
3. The Horvitz Thompson Estimator 46
3.1. Some Basic Results Concerning the Horvitz Thompson
Estimator (HTE), 46
3.2. Nonnegative Unbiased Variance Estimation, 52
3.3. Some Properties of the HTE, 57
Exercises, 61
References, 65
4. Simple Random and Allied Sampling Designs 67
4.1. Simple Random Sampling Designs, 67
ix
X CONTENTS
4.2. Composition and Decomposition of a Simple Random
Sample, 68
4.3. The Population Parameters, 69
4.4. Estimation of Population Parameters, 70
4.5. Estimation of a Population Proportion, 73
4.6. Determination of Sample Size, 74
4.7. Inference on Ordered Values from SRS Designs, 76
4.8. Mixtures of Simple Random Sampling (SRS) Designs, 79
4.9. Some Variants of SRS Designs, 83
4.10. Inference from Order Statistics Based on Other Designs, 88
4.11. Some Aspects of Unlabelled Data, 90
Exercises, 93
References, 99
5. Uses of Auxiliary Size Measures in Survey Sampling:
Strategies Based on Probability Proportional to Size
Schemes of Sampling 101
5.1. Nature and Scope of Auxiliary Size Measures, 101
5.2. Use of Auxiliary Size Measures at Design Stage: I1PS
Sampling Designs, 103
5.3. IIPS Sampling Designs of Size 2, 105
5.4. IIPS Sampling Designs of Size n, 111
5.5. PPS Scheme of Sampling and Related Estimators, 133
5.6. Rao Hartley Cochran Scheme of Sampling and Related
Estimator, 143
Exercises, 149
References, 157
6. Uses of Auxiliary Size Measures in Survey Sampling: Ratio and
Regression Methods of Estimation 159
6.1. Use of Auxiliary Size Measures at the Estimation Stage, 159
6.2. The Ratio Method of Estimation of a Population Mean, 161
6.3. Unbiasedness of Ratio Estimator and the Ratio Type
Estimator, 163
6.4. Bias of the Ratio Estimator in SRS Data and Bias
Reduction Techniques, 166
6.5. Further Issues Concerning the Ratio Method of
Estimation, 172
6.6. The Regression Method of Estimation of a Population
Mean, 173
CONTENTS xi
6.7. Unbiasedness of the Regression Estimator and the
Regression Type Estimator, 175
6.8. Bias of the Regression Estimator in SRS Data and Bias
Reduction Techniques, 181
6.9. Double Sampling Procedure in the Regression Method of
Estimation, 185
6.10. Sampling on Successive Occasions and the Regression
Estimator, 191
Exercises, 195
References, 198
7. Cluster Sampling Designs 200
7.1. Sampling Designs for Populations with Units Arranged in
Clusters, 200
7.2. Single Stage Cluster Sampling Designs, 202
7.3. Two Stage Cluster Sampling Designs, 207
7.4. Inclusion Probabilities of Ultimate Units in Two Stage
Cluster Sampling Designs, 213
7.5. Optimum Choice of Sample Sizes in Cluster Sampling, 216
7.6. Efficiency and Other Aspects of Cluster Sampling
Designs, 218
7.7. Multistage Cluster Sampling Designs, 222
Exercises, 223
References, 229
8. Systematic Sampling Designs 230
8.1. Sampling Designs for Populations with Units Arranged in
Arrays or in Sequences, 230
8.2. Inference Based on Systematic Sampling Designs, 235
8.3. Systematic Sampling Designs and Structured Populations, 248
Exercises, 250
References, 256
9. Stratified Sampling Designs 257
9.1. The Concept of Stratification in Survey Sampling, 257
9.2. Inference Based on Stratified Sample Data, 258
9.3. Stratified Simple Random Sampling (STSRS) Designs, 261
9.4. Comparison with Simple Random Sampling, 265
9.5. Estimation of the Gain due to Stratification, 267
Xii CONTENTS
9.6. Allocation of Samples in Different Strata, 269
9.7. The Problem of More Than 100% Sampling, 273
9.8. Other Types of Stratified Sampling Strategies, 275
9.9. Discussion, 276
Exercises, 278
References, 282
10. Superpopulation Approach to Inference in Finite Population
Sampling 283
10.1. Concept of Superpopulation Models, 283
10.2. Criterion of Optimality, 286
10.3. Optimal Sampling Strategies Based on the Transformation
Model, 287
10.4. Optimal Sampling Strategies Based on the Exchangeable
Model, 294
10.5. Random Permutation Model and Related Optimal Sampling
Strategies, 297
10.6. Optimal Sampling Strategies Based on the Regression
Model, 300
10.7. Concluding Remarks, 304
Exercises, 305
References, 307
11. Randomized Response: A Data Gathering Tool for Sensitive
Characteristics 310
11.1. Surveys on Sensitive Issues, 310
11.2. Randomized Response Techniques for One Dichotomous
Qualitative Sensitive Characteristic, 311
11.3. Randomized Response Techniques for One Polychotomous
Qualitative Sensitive Characteristic, 324
11.4. Randomized Response Techniques for One Quantitative
Sensitive Characteristic, 331
Exercises, 335
References, 339
12. Special Topics: Small Area Estimation, Nonresponse Problems,
and Resampling Techniques 341
12.1. Small Area Estimation, 341
12.2. Nonresponse Problems, 354
12.3. Resampling Techniques, 358
CONTENTS XJii
12.4. Application Areas, 363
Exercises, 363
References, 365
Author Index 369
Subject Index 373
|
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| discipline | Allgemeines Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV004706545 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:16:26Z |
| institution | BVB |
| isbn | 0471880736 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002891994 |
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| physical | XIII, 377 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Wiley |
| record_format | marc |
| series2 | A Wiley-Interscience publication Wiley series in probability and mathematical statistics |
| spelling | Hedayat, Abdossamad 1937- Verfasser (DE-588)172153433 aut Design and inference in finite population sampling A. S. Hedayat ; Bikas K. Sinha New York u.a. Wiley 1991 XIII, 377 S. txt rdacontent n rdamedia nc rdacarrier A Wiley-Interscience publication Wiley series in probability and mathematical statistics Literaturangaben Stichprobe (DE-588)4057502-0 gnd rswk-swf Bevölkerungsstatistik (DE-588)4006298-3 gnd rswk-swf Stichprobe (DE-588)4057502-0 s DE-604 Bevölkerungsstatistik (DE-588)4006298-3 s Sinha, Bikas Kumar Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002891994&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hedayat, Abdossamad 1937- Sinha, Bikas Kumar Design and inference in finite population sampling Stichprobe (DE-588)4057502-0 gnd Bevölkerungsstatistik (DE-588)4006298-3 gnd |
| subject_GND | (DE-588)4057502-0 (DE-588)4006298-3 |
| title | Design and inference in finite population sampling |
| title_auth | Design and inference in finite population sampling |
| title_exact_search | Design and inference in finite population sampling |
| title_full | Design and inference in finite population sampling A. S. Hedayat ; Bikas K. Sinha |
| title_fullStr | Design and inference in finite population sampling A. S. Hedayat ; Bikas K. Sinha |
| title_full_unstemmed | Design and inference in finite population sampling A. S. Hedayat ; Bikas K. Sinha |
| title_short | Design and inference in finite population sampling |
| title_sort | design and inference in finite population sampling |
| topic | Stichprobe (DE-588)4057502-0 gnd Bevölkerungsstatistik (DE-588)4006298-3 gnd |
| topic_facet | Stichprobe Bevölkerungsstatistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002891994&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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