Statistical modeling techniques:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
1981
|
| Ausgabe: | 1. print. |
| Schriftenreihe: | Statistics
38 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 367 S. |
| ISBN: | 0824713877 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1817681154217607168 |
|---|---|
| adam_text |
CONTENTS
PREFACE v
ACKNOWLEDGMENTS ix
Chapter 1
BASIC CONCEPTS OF STATISTICAL MODELS 1
1.1 Introduction 1
1.2 Basic Concepts 3
1.3 Uses and Selection of Statistical Models . 7
1.4 Definition of Terms 9
Chapter 2
CONCEPTS OF STATISTICAL THEORY 11
2.1 Introduction 11
2.2 Probability 11
2.3 Probability Distributions in a Single Variable 20
2.4 Multivariate Probability Distributions 29
2.5 Marginal and Conditional Distributions and Stochastic
Independence for Bivariate Distributions and Moments 35
2.6 Principles of Statistical Estimation 49
2.7 Confidence Intervals and Tests of Statistical Hypotheses 56
References 60
Chapter 3
MODELS FOR MEASUREMENT: CONTINUOUS CASE 61
3.1 Introduction 61
3.2 The Exponential Model 61
3.3 The Weibull Model 72
3.4 The Gamma Model 79
3.5 Other Continuous Models for Measurement 86
References 103
xi
xii Contents
Chapter 4
MODELS FOR MEASUREMENT: DISCRETE CASE 105
4.1 Introduction 105
4.2 The Binomial Model 106
4.3 The Poisson Model 115
4.4 The Hypergeometric Model 127
4.5 The Geometric and Negative Binomial Models 133
4.6 The Multinomial Model 139
4.7 Compound Models 144
4.8 Power Series Models 154
References 159
Chapter 5
EMPIRICAL MODELS 161
5.1 Introduction 161
5.2 Systems for Classification of Distributions 163
5.3 The Generalized Lambda Family 178
5.4 The Johnson System 194
5.5 The Pearson Family 220
References 223
Chapter 6
TESTING MODEL ASSUMPTIONS 225
6.1 Introduction 225
6.2 Regression Tests 227
6.3 Distance Tests 251
6.4 Chi Square Goodness of Fit Test 258
References 265
Chapter 7
ANALYSIS OF SYSTEMS 268
7.1 Introduction 268
7.2 Monte Carlo Simulation 273
7.3 Propagation of Moments 296
7.4 Case Studies 310
References 326
Appendix A
TABLES 327
Appendix B
EQUATION FOR E(y4) IN THE PROPAGATION OF MOMENTS TECHNIQUE 357
AUTHOR INDEX 361
SUBJECT INDEX 363 |
| adam_txt |
CONTENTS
PREFACE v
ACKNOWLEDGMENTS ix
Chapter 1
BASIC CONCEPTS OF STATISTICAL MODELS 1
1.1 Introduction 1
1.2 Basic Concepts 3
1.3 Uses and Selection of Statistical Models . 7
1.4 Definition of Terms 9
Chapter 2
CONCEPTS OF STATISTICAL THEORY 11
2.1 Introduction 11
2.2 Probability 11
2.3 Probability Distributions in a Single Variable 20
2.4 Multivariate Probability Distributions 29
2.5 Marginal and Conditional Distributions and Stochastic
Independence for Bivariate Distributions and Moments 35
2.6 Principles of Statistical Estimation 49
2.7 Confidence Intervals and Tests of Statistical Hypotheses 56
References 60
Chapter 3
MODELS FOR MEASUREMENT: CONTINUOUS CASE 61
3.1 Introduction 61
3.2 The Exponential Model 61
3.3 The Weibull Model 72
3.4 The Gamma Model 79
3.5 Other Continuous Models for Measurement 86
References 103
xi
xii Contents
Chapter 4
MODELS FOR MEASUREMENT: DISCRETE CASE 105
4.1 Introduction 105
4.2 The Binomial Model 106
4.3 The Poisson Model 115
4.4 The Hypergeometric Model 127
4.5 The Geometric and Negative Binomial Models 133
4.6 The Multinomial Model 139
4.7 Compound Models 144
4.8 Power Series Models 154
References 159
Chapter 5
EMPIRICAL MODELS 161
5.1 Introduction 161
5.2 Systems for Classification of Distributions 163
5.3 The Generalized Lambda Family 178
5.4 The Johnson System 194
5.5 The Pearson Family 220
References 223
Chapter 6
TESTING MODEL ASSUMPTIONS 225
6.1 Introduction 225
6.2 Regression Tests 227
6.3 Distance Tests 251
6.4 Chi Square Goodness of Fit Test 258
References 265
Chapter 7
ANALYSIS OF SYSTEMS 268
7.1 Introduction 268
7.2 Monte Carlo Simulation 273
7.3 Propagation of Moments 296
7.4 Case Studies 310
References 326
Appendix A
TABLES 327
Appendix B
EQUATION FOR E(y4) IN THE PROPAGATION OF MOMENTS TECHNIQUE 357
AUTHOR INDEX 361
SUBJECT INDEX 363 |
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| discipline | Allgemeines Mathematik Wirtschaftswissenschaften |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:18:35Z |
| indexdate | 2024-12-06T09:03:51Z |
| institution | BVB |
| isbn | 0824713877 |
| language | English |
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| physical | 367 S. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
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| publisher | Dekker |
| record_format | marc |
| series | Statistics |
| series2 | Statistics |
| spelling | Shapiro, Samuel S. Verfasser aut Statistical modeling techniques Samuel S. Shapiro ; Alan J. Gross 1. print. New York [u.a.] Dekker 1981 367 S. txt rdacontent n rdamedia nc rdacarrier Statistics 38 Statistique mathématique Mathematical statistics Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 s DE-604 Modellierung (DE-588)4170297-9 s Statistik (DE-588)4056995-0 s 1\p DE-604 Statistisches Modell (DE-588)4121722-6 s 2\p DE-604 Gross, Alan J. Verfasser aut Statistics 38 (DE-604)BV000003265 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015371612&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Shapiro, Samuel S. Gross, Alan J. Statistical modeling techniques Statistics Statistique mathématique Mathematical statistics Statistisches Modell (DE-588)4121722-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd Modellierung (DE-588)4170297-9 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4121722-6 (DE-588)4114528-8 (DE-588)4170297-9 (DE-588)4056995-0 |
| title | Statistical modeling techniques |
| title_auth | Statistical modeling techniques |
| title_exact_search | Statistical modeling techniques |
| title_exact_search_txtP | Statistical modeling techniques |
| title_full | Statistical modeling techniques Samuel S. Shapiro ; Alan J. Gross |
| title_fullStr | Statistical modeling techniques Samuel S. Shapiro ; Alan J. Gross |
| title_full_unstemmed | Statistical modeling techniques Samuel S. Shapiro ; Alan J. Gross |
| title_short | Statistical modeling techniques |
| title_sort | statistical modeling techniques |
| topic | Statistique mathématique Mathematical statistics Statistisches Modell (DE-588)4121722-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd Modellierung (DE-588)4170297-9 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistique mathématique Mathematical statistics Statistisches Modell Mathematisches Modell Modellierung Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015371612&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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