Ranked set sampling: theory and applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2004
|
| Series: | Lecture notes in statistics
176 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. [213]-222) and index |
| Physical Description: | XII, 224 S. graph. Darst. |
| ISBN: | 0387402632 |
Staff View
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| 490 | 1 | |a Lecture notes in statistics |v 176 | |
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| 650 | 4 | |a Sampling (Statistics) | |
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Record in the Search Index
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| adam_text | ZEHUA CHEN ZHIDONG BAI BIMAL K. SINHA RANKED SET SAMPLING, THEORY AND
APPLICATIONS SPRINGER CONTENTS 1 INTRODUCTION 1 1.1 WHAT IS RANKED SET
SAMPLING? 1 1.2 A HISTORICAL NOTE 7 1.3 SCOPE OF THE REST OF THE
MONOGRAPH 8 2 BALANCED RANKED SET SAMPLING I: NONPARAMETRIC 11 2.1
RANKING MECHANISMS 12 2.2 ESTIMATION OF MEANS USING RANKED SET SAMPLE 14
2.3 ESTIMATION OF SMOOTH-FUNCTION-OF-MEANS USING RANKED SET SAMPLE 18
2.4 ESTIMATION OF VARIANCE USING AN RSS SAMPLE 20 2.4.1 NAIVE MOMENT
ESTIMATES 20 2.4.2 MINIMUM VARIANCE UNBIASED NON-NEGATIVE ESTIMATE 22
2.5 TESTS AND CONFIDENCE INTERVALS FOR POPULATIORI MEAN 24 2.5.1
ASYMPTOTIC PIVOTAL METHOD 25 2.5.2 CHOICE OF CONSISTENT ESTIMATES OF CY
DOO 25 2.5.3 COMPARISON OF POWER BETWEEN TESTS BASED ON RSS AND SRS . **
29 2.6 ESTIMATION OF QUANTILES 29 2.6.1 RANKED SET SAMPLE QUANTILES AND
THEIR PROPERTIES 29 2.6.2 INFERENCE PROCEDURES FOR POPULATION QUANTILES
BASED ON RANKED SET SAMPLE 32 2.6.3 THE RELATIVE EFNCIENCY OF RSS
QUANTILE ESTIMATE WITH RESPECT TO SRS QUANTILE ESTIMATE 35 2.7
ESTIMATION OF DENSITY FUNCTION WITH RANKED SET SAMPLE 35 2.7.1 RSS
DENSITY ESTIMATE AND ITS PROPERTIES 36 2.7.2 THE RELATIVE EFNCIENCY OF
THE RSS DENSITY ESTIMATE WITH RESPECT TO ITS SRS COUNTERPART 40 2.8
M-ESTIMATES WITH RSS DATA 44 2.8.1 THE RSS M-ESTIMATES AND THEIR
ASYMPTOTIC PROPERTIES . 44 2.8.2 THE RELATIVE EFFICIENCY OF THE RSS
M-ESTIMATES 46 X CONTENTS 2.9 APPENDIX: TECHNICAL DETAILS FOR SECTION
2.4* 46 2.10 BIBLIOGRAPHIE NOTES 50 3 BALANCED RANKED SET SAMPLING II:
PARAMETRIC 53 3.1 THE FISHER INFORMATION OF RANKED SET SAMPLES 54 3.1.1
THE FISHER INFORMATION OF RANKED SET SAMPLES WHEN RANKING IS PERFECT 54
3.1.2 THE FISHER INFORMATION OF RANKED SET SAMPLES WHEN RANKING IS
IMPERFECT* 58 3.2 THE MAXIMUM LIKELIHOOD ESTIMATE AND ITS ASYMPTOTIC
RELATIVE EFFICIENCY 63 3.3 THE BEST LINEAR UNBIASED ESTIMATION FOR
LOCATION-SCALE FAMILIES . 66 3.4 THE REGULARITY CONDITIONS AND THE
EXISTENCE OF FISHER INFORMATION MATRIX OF RANKED SET SAMPLES* 68 3.5
BIBLIOGRAPHIE NOTES 71 4 UNBALANCED RANKED SET SAMPLING AND OPTIMAL
DESIGNS ... 73 4.1 GENERAL STRUETURE OF UNBALANCED RSS 74 4.2
NONPARAMETRIC ANALYSIS OF UNBALANCED RANKED-SET DATA 75 4.2.1 ASYMPTOTIC
PROPERTIES OF UNBALANCED RANKED-SET SAMPLE QUANTILES 75 4.2.2
NONPARAMETRIC ESTIMATION OF QUANTILES AND DISTRIBUTION FUNETION 76 4.2.3
CONFIDENCE INTERVAL AND HYPOTHESIS TESTING 78 4.2.4 ESTIMATION OF
STATISTICAL FUNCTIONALS* 79 4.2.5 INFERENCE BY BOOTSTRAPPING 82 4.2.6
SIMULATION RESULTS 82 4.3 PARAMETRIC ANALYSIS OF UNBALANCED RANKED-SET
DATA 84 4.4 _ OPTIMAL DESIGN FOR LOCATION-SCALE FAMILIES 86 4.4.1
OPTIMAL RSS FOR MLE 86 4.4.2 OPTIMAL RSS FOR BLUE 91 4.5 OPTIMAL DESIGN
FOR ESTIMATION OF QUANTILES 91 4.5.1 OPTIMAL RSS SCHEME FOR THE
ESTIMATION OF A SINGLE QUANTILE 91 4.5.2 OPTIMAL RSS SCHEME FOR THE
SIMULTANEOUS ESTIMATION OF SEVERAL QUANTILES 94 4.6 THE COMPUTATION OF
OPTIMAL DESIGNS 95 4.7 ASYMPTOTIC RELATIVE EFFICIENCY OF THE OPTIMAL
SCHEMES 96 4.7.1 ASYMPTOTIC RELATIVE EFFICIENCY OF THE OPTIMAL SCHEMES
FOR PARAMETRIC LOCATION-SCALE FAMILIES 96 4.7.2 RELATIVE EFFICIENCY OF
THE OPTIMAL SCHEMES FOR THE ESTIMATION OF QUANTILES 97 4.8 OTHER DESIGN
METHODOLOGIES 98 4.8.1 BAYESIAN DESIGN 99 4.8.2 ADAPTIVE DESIGN 99
CONTENTS XI 4.9 BIBLIOGRAPHIE NOTES 100 DISTRIBUTION-FREE TESTS WITH
RANKED SET SAMPLING 103 5.1 SIGN TEST WITH RSS 103 5.1.1 DISTRIBUTIONAL
PROPERTIES OF S*+ SS * 104 5.1.2 DECISION RULS OF THE SIGN TEST AND
CONFIDENCE INTERVALS FOR MEDIAN 110 5.1.3 EFFECT OF IMPERFECT RANKING ON
RSS SIGN TEST 110 5.1.4 COMPARISON OF EFFICIENCY AND POWER WITH RESPECT
TO S^ RS 113 5.2 MANN-WHITNEY-WILCOXON TEST WITH RSS 115 5.2.1
DISTRIBUTIONAL PROPERTIES OF U RSS * 117 5.2.2 DECISION RULES OF THE RSS
MANN-WHITNEY-WILCOXON TEST 122 5.2.3 THE ESTIMATE AND CONFIDENCE
INTERVAL OF A 123 5.2.4 EFFECT OF IMPERFECT RANKING ON RSS MANN-WHITNEY-
WILCOXON TEST 124 5.3 WILCOXON SIGNED RANK TEST WITH RSS 124 5.3.1
DISTRIBUTIONAL PROPERTIES OF W+ SS * 125 5.3.2 DECISION RULES OF THE
WILCOXON SIGNED RANK TEST 130 5.3.3 ESTIMATION OF 9 131 5.3.4 EFFECT OF
IMPERFECT RANKING ON RSS WILCOXON SIGNED RANK TEST 133 5.4 OPTIMAL
DESIGN FOR DISTRIBUTION-FREE TESTS 133 5.4.1 OPTIMAL DESIGN FOR SIGN
TEST 133 5.4.2 OPTIMAL DESIGN FOR WILCOXON SIGNED RANK TESTS 135 5.5
BIBLIOGRAPHIE NOTES 142 RANKED SET SAMPLING WITH CONCOMITANT VARIABLES
143 6.1 MULTI-LAYER RANKED SET SAMPLING 144 6.1.1 MOTIVATION AND
DEFINITION 144 6.1.2 CONSISTENCY OF MULTI-LAYER RANKED SET SAMPLING 146
6.1.3 COMPARISON BETWEEN MULTI-LAYER RSS AND MARGINAL RSS BY SIMULATION
STUDIES ;. 147 6.1.4 ISSUES ON THE CHOIEE OF CONCOMITANT VARIABLES 150
6.2 ADAPTIVE RANKED SET SAMPLING 151 6.2.1 THE BEST RANKING MECHANISM
151 6.2.2 ADAPTIVE RANKED SET SAMPLING PROCEDURE 152 6.2.3 A SIMULATION
STUDY 153 6.3 REGRESSION ANALYSIS BASED ON RSS WITH CONCOMITANT
VARIABLES . 155 6.3.1 ESTIMATION OF REGRESSION COEFFICIENTS WITH RSS 156
6.3.2 REGRESSION ESTIMATE OF THE MEAN OF Y WITH RSS 157 6.3.3 COMPARISON
OF THE RSS REGRESSION ESTIMATE AND THE ORDINARY RSS ESTIMATE 158 6.3.4
HOW DOES A SPEEIFIE RANKING MECHANISM AFFECT THE EFFICIENCY OF THE
REGRESSION ESTIMATE? 160 6.4 OPTIMAL RSS SCHEMES FOR REGRESSION ANALYSIS
161 XII CONTENTS 6.4.1 ASYMPTOTICALLY OPTIMAL CRITERIA 162 6.4.2
ASYMPTOTICALLY OPTIMAL SCHEMES FOR SIMPLE LINEAR REGRESSION 164 6.4.3
APPLICATIONS 166 6.5 TECHNICAL DETAILS* 170 6.6 BIBLIOGRAPHIE NOTES 174
7 RANKED SET SAMPLING AS DATA REDUCTION TOOLS 175 7.1 REMEDIAN: A
MOTIVATION 175 7.2 REPEATED RANKED-SET PROCEDURE FOR A SINGLE QUANTILE
177 7.3 REPEATED RANKED-SET PROCEDURE FOR MULTIPLE QUANTILES 180 7.4
BALANCED REPEATED RANKED-SET PROCEDURE 184 7.5 PROCEDURE FOR
MULTIVARIATE POPULATIONS 186 8 CASE STUDIES 191 8.1 PLANTATIONS OF
CINCHONA 191 8.2 COST EFFECTIVE GASOLINE SAMPLING 194 8.3 ESTIMATION OF
WEIGHTS OF BROWSE AND HERBAGE 195 8.4 ESTIMATION OF SHRUB PHYTOMASS IN
APPALACHIAN OAK FORESTS .... 198 8.5 SINGLE FAMILY HOMES SALES PRICE
DATA 201 8.6 TREE DATA 202 REFERENCES 213 INDEX 223
|
| any_adam_object | 1 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/2 |
| dewey-search | 519.5/2 |
| dewey-sort | 3519.5 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017428776 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:17:55Z |
| institution | BVB |
| isbn | 0387402632 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010501655 |
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| physical | XII, 224 S. graph. Darst. |
| publishDate | 2004 |
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| publisher | Springer |
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| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spelling | Chen, Zehua 1956- Verfasser (DE-588)1049335953 aut Ranked set sampling theory and applications Zehua Chen ; Zhidong Bai ; Bimal K. Sinha New York [u.a.] Springer 2004 XII, 224 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in statistics 176 Includes bibliographical references (p. [213]-222) and index Amostragem larpcal Pesquisa e planejamento estatístico larpcal Rang et sélection (Statistique) Sıralama ve seçim (İstatistik) Échantillonnage (Statistique) Örnekleme (İstatistik) Ranking and selection (Statistics) Sampling (Statistics) Stichprobennahme (DE-588)4183250-4 gnd rswk-swf Rangstatistik (DE-588)4176945-4 gnd rswk-swf Stichprobennahme (DE-588)4183250-4 s Rangstatistik (DE-588)4176945-4 s DE-604 Bai, Zhidong 1943- Sonstige (DE-588)140643133 oth Sinha, Bimal K. Sonstige (DE-588)171351355 oth Lecture notes in statistics 176 (DE-604)BV002447846 176 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010501655&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chen, Zehua 1956- Ranked set sampling theory and applications Lecture notes in statistics Amostragem larpcal Pesquisa e planejamento estatístico larpcal Rang et sélection (Statistique) Sıralama ve seçim (İstatistik) Échantillonnage (Statistique) Örnekleme (İstatistik) Ranking and selection (Statistics) Sampling (Statistics) Stichprobennahme (DE-588)4183250-4 gnd Rangstatistik (DE-588)4176945-4 gnd |
| subject_GND | (DE-588)4183250-4 (DE-588)4176945-4 |
| title | Ranked set sampling theory and applications |
| title_auth | Ranked set sampling theory and applications |
| title_exact_search | Ranked set sampling theory and applications |
| title_full | Ranked set sampling theory and applications Zehua Chen ; Zhidong Bai ; Bimal K. Sinha |
| title_fullStr | Ranked set sampling theory and applications Zehua Chen ; Zhidong Bai ; Bimal K. Sinha |
| title_full_unstemmed | Ranked set sampling theory and applications Zehua Chen ; Zhidong Bai ; Bimal K. Sinha |
| title_short | Ranked set sampling |
| title_sort | ranked set sampling theory and applications |
| title_sub | theory and applications |
| topic | Amostragem larpcal Pesquisa e planejamento estatístico larpcal Rang et sélection (Statistique) Sıralama ve seçim (İstatistik) Échantillonnage (Statistique) Örnekleme (İstatistik) Ranking and selection (Statistics) Sampling (Statistics) Stichprobennahme (DE-588)4183250-4 gnd Rangstatistik (DE-588)4176945-4 gnd |
| topic_facet | Amostragem Pesquisa e planejamento estatístico Rang et sélection (Statistique) Sıralama ve seçim (İstatistik) Échantillonnage (Statistique) Örnekleme (İstatistik) Ranking and selection (Statistics) Sampling (Statistics) Stichprobennahme Rangstatistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010501655&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002447846 |
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