Probability and statistical inference: 2 Statistical inference
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1985
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Universitext
Springer texts in statistics |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 360 S. graph. Darst. |
| ISBN: | 3540961836 0387961836 |
Internformat
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| 245 | 1 | 0 | |a Probability and statistical inference |n 2 |p Statistical inference |c J. G. Kalbfleisch |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents of Volume 2
Preface v
Chapter 9
Likelihood Methods 1
9.1 The Method of Maximum Likelihood 3
9.2 Combining Independent Experiments 13
9.3 Relative Likelihood 17
9.4 Likelihood for Continuous Models 25
9.5 Censoring in Lifetime Experiments 32
9.6 Invariance 37
9.7 Normal Approximations 40
9.8 Newton s Method 46
Review Problems 51
Chapter 10
Two-Parameter Likelihoods 53
10.1 Maximum Likelihood Estimation 53
10.2 Relative Likelihood and Contour Maps 61
10.3 Maximum Relative Likelihood 65
10.4 Normal Approximations 70
10.5 A Dose-Response Example 74
10.6 An Example from Learning Theory 83
10.7* Some Derivations 88
10.8* Multi-Parameter Likelihoods 92
viii Contents
Chapter 11
Frequency Properties 96
11.1 Sampling Distributions 97
11.2 Coverage Probability 102
11.3 Chi-Square Approximations 107
11.4 Confidence Intervals 113
11.5 Results for Two-Parameter Models 120
11.6* Expected Information and Planning Experiments 124
11.7* Bias 129
Chapter 12
Tests of Significance 134
12.1 Introduction 134
12.2 Likelihood Ratio Tests for Simple Hypotheses 141
12.3 Likelihood Ratio Tests for Composite Hypotheses 149
12.4 Tests for Binomial Probabilities 156
12.5 Tests for Multinomial Probabilities 160
12.6 Tests for Independence in Contingency Tables 170
12.7 Cause and Effect 179
12.8 Testing for Marginal Homogeneity 182
12.9 Significance Regions 186
12.10* Power 190
Chapter 13
Analysis of Normal Measurements 196
13.1 Introduction 196
13.2 Statistical Methods 200
13.3 The One-Sample Model 206
13.4 The Two-Sample Model 212
13.5 The Straight Line Model 220
13.6 The Straight Line Model (Continued) 229
13.7 Analysis of Paired Measurements 234
Review Problems 240
Chapter 14
Normal Linear Models 242
14.1 Matrix Notation 242
14.2 Parameter Estimates 247
14.3 Testing Hypotheses in Linear Models 252
14.4 More on Tests and Confidence Intervals 260
14.5 Checking the Model 267
14.6* Derivations 274
Chapter 15
Sufficient Statistics and Conditional Tests 277
15.1 The Sufficiency Principle 277
Contents ix
15.2 Properties of Sufficient Statistics 285
15.3 Exact Significance Levels and Coverage Probabilities 289
15.4 Choosing the Reference Set 296
15.5 Conditional Tests for Composite Hypotheses 300
15.6 Some Examples of Conditional Tests 305
Chapter 16
Topics in Statistical Inference 314
16.1* The Fiducial Argument 314
16.2* Bayesian Methods 321
16.3* Prediction 326
16.4* Inferences from Predictive Distributions 330
16.5* Testing a True Hypothesis 334
Appendix A
Answers to Selected Problems 337
Appendix B
Tables 347
Index 357
|
| adam_txt |
Contents of Volume 2
Preface v
Chapter 9
Likelihood Methods 1
9.1 The Method of Maximum Likelihood 3
9.2 Combining Independent Experiments 13
9.3 Relative Likelihood 17
9.4 Likelihood for Continuous Models 25
9.5 Censoring in Lifetime Experiments 32
9.6 Invariance 37
9.7 Normal Approximations 40
9.8 Newton's Method 46
Review Problems 51
Chapter 10
Two-Parameter Likelihoods 53
10.1 Maximum Likelihood Estimation 53
10.2 Relative Likelihood and Contour Maps 61
10.3 Maximum Relative Likelihood 65
10.4 Normal Approximations 70
10.5 A Dose-Response Example 74
10.6 An Example from Learning Theory 83
10.7* Some Derivations 88
10.8* Multi-Parameter Likelihoods 92
viii Contents
Chapter 11
Frequency Properties 96
11.1 Sampling Distributions 97
11.2 Coverage Probability 102
11.3 Chi-Square Approximations 107
11.4 Confidence Intervals 113
11.5 Results for Two-Parameter Models 120
11.6* Expected Information and Planning Experiments 124
11.7* Bias 129
Chapter 12
Tests of Significance 134
12.1 Introduction 134
12.2 Likelihood Ratio Tests for Simple Hypotheses 141
12.3 Likelihood Ratio Tests for Composite Hypotheses 149
12.4 Tests for Binomial Probabilities 156
12.5 Tests for Multinomial Probabilities 160
12.6 Tests for Independence in Contingency Tables 170
12.7 Cause and Effect 179
12.8 Testing for Marginal Homogeneity 182
12.9 Significance Regions 186
12.10* Power 190
Chapter 13
Analysis of Normal Measurements 196
13.1 Introduction 196
13.2 Statistical Methods 200
13.3 The One-Sample Model 206
13.4 The Two-Sample Model 212
13.5 The Straight Line Model 220
13.6 The Straight Line Model (Continued) 229
13.7 Analysis of Paired Measurements 234
Review Problems 240
Chapter 14
Normal Linear Models 242
14.1 Matrix Notation 242
14.2 Parameter Estimates 247
14.3 Testing Hypotheses in Linear Models 252
14.4 More on Tests and Confidence Intervals 260
14.5 Checking the Model 267
14.6* Derivations 274
Chapter 15
Sufficient Statistics and Conditional Tests 277
15.1 The Sufficiency Principle 277
Contents ix
15.2 Properties of Sufficient Statistics 285
15.3 Exact Significance Levels and Coverage Probabilities 289
15.4 Choosing the Reference Set 296
15.5 Conditional Tests for Composite Hypotheses 300
15.6 Some Examples of Conditional Tests 305
Chapter 16
Topics in Statistical Inference 314
16.1* The Fiducial Argument 314
16.2* Bayesian Methods 321
16.3* Prediction 326
16.4* Inferences from Predictive Distributions 330
16.5* Testing a True Hypothesis 334
Appendix A
Answers to Selected Problems 337
Appendix B
Tables 347
Index 357 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T22:45:06Z |
| indexdate | 2024-07-09T21:25:57Z |
| institution | BVB |
| isbn | 3540961836 0387961836 |
| language | English |
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| physical | XIII, 360 S. graph. Darst. |
| publishDate | 1985 |
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| publisher | Springer |
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| series2 | Universitext Springer texts in statistics |
| spelling | Kalbfleisch, James G. Verfasser aut Probability and statistical inference 2 Statistical inference J. G. Kalbfleisch 2. ed. New York [u.a.] Springer 1985 XIII, 360 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Springer texts in statistics (DE-604)BV002336668 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016948903&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kalbfleisch, James G. Probability and statistical inference |
| title | Probability and statistical inference |
| title_auth | Probability and statistical inference |
| title_exact_search | Probability and statistical inference |
| title_exact_search_txtP | Probability and statistical inference |
| title_full | Probability and statistical inference 2 Statistical inference J. G. Kalbfleisch |
| title_fullStr | Probability and statistical inference 2 Statistical inference J. G. Kalbfleisch |
| title_full_unstemmed | Probability and statistical inference 2 Statistical inference J. G. Kalbfleisch |
| title_short | Probability and statistical inference |
| title_sort | probability and statistical inference statistical inference |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016948903&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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