Applied asymptotics: case studies in small-sample statistics
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2007
|
| Edition: | 1. publ. |
| Series: | Cambridge series in statistical and probalistic mathematics
23 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 236 S. graph. Darst. |
| ISBN: | 0521847036 9780521847032 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Applied asymptotics
Autor: Brazzale, Alessandra R.
Jahr: 2007
Contents
Preface vii
1 Introduction 1
2 Uncertainty and approximation 5
2.1 Introduction 5
2.2 Scalar parameter 5
2.3 Several parameters 10
2.4 Further remarks 14
17
17
17
20
23
28
37
37
39
46
49
52
55
Regression with continuous responses 58
5.1 Introduction 58
5.2 Nuclear power station data 61
5.3 Daphnia magna data 66
5.4 Radioimmunoassay data 72
5.5 Leukaemia data 78
5.6 PET film data 81
Simple illustrations
3.1 Introduction
3.2 Cauchy distribution
3.3 Top quark
3.4 Astronomer data
3.5 Cost data
Discrete data
4.1 Introduction
4.2 Urine data
4.3 Cell phone data
4.4 Multiple myeloma data
4.5 Speed limit data
4.6 Smoking data
vi Contents
6 Some case studies 86
6.1 Introduction 86
6.2 Wasp data 86
6.3 Grazing data 91
6.4 Herbicide data 96
7 Further topics 108
7.1 Introduction 108
7.2 Calibration 108
7.3 Variance components 111
7.4 Dependent data 117
7.5 Vector parameter of interest 121
7.6 Laplace approximation 123
7.7 Partial likelihood 127
7.8 Constructed exponential families 129
8 Likelihood approximations 134
8.1 Introduction 134
8.2 Likelihood and model classes 134
8.3 First order theory 138
8.4 Higher order density approximations 140
8.5 Tail area approximations 147
8.6 Tail area expressions for special cases 155
8.7 Approximations for Bayesian inference 161
8.8 Vector parameters of interest 164
9 Numerical implementation 170
9.1 Introduction 170
9.2 Building-blocks 171
9.3 Pivot profiling 174
9.4 Family objects and symbolic differentiation 177
9.5 Other software 182
10 Problems and further results 185
A Some numerical techniques 211
A.I Convergence of sequences 211
A.2 The sample mean 211
A.3 Laplace approximation 216
A.4 x2 approximations 217
References 219
Example index 229
Name index 230
Index 233
|
| adam_txt |
Titel: Applied asymptotics
Autor: Brazzale, Alessandra R.
Jahr: 2007
Contents
Preface vii
1 Introduction 1
2 Uncertainty and approximation 5
2.1 Introduction 5
2.2 Scalar parameter 5
2.3 Several parameters 10
2.4 Further remarks 14
17
17
17
20
23
28
37
37
39
46
49
52
55
Regression with continuous responses 58
5.1 Introduction 58
5.2 Nuclear power station data 61
5.3 Daphnia magna data 66
5.4 Radioimmunoassay data 72
5.5 Leukaemia data 78
5.6 PET film data 81
Simple illustrations
3.1 Introduction
3.2 Cauchy distribution
3.3 Top quark
3.4 Astronomer data
3.5 Cost data
Discrete data
4.1 Introduction
4.2 Urine data
4.3 Cell phone data
4.4 Multiple myeloma data
4.5 Speed limit data
4.6 Smoking data
vi Contents
6 Some case studies 86
6.1 Introduction 86
6.2 Wasp data 86
6.3 Grazing data 91
6.4 Herbicide data 96
7 Further topics 108
7.1 Introduction 108
7.2 Calibration 108
7.3 Variance components 111
7.4 Dependent data 117
7.5 Vector parameter of interest 121
7.6 Laplace approximation 123
7.7 Partial likelihood 127
7.8 Constructed exponential families 129
8 Likelihood approximations 134
8.1 Introduction 134
8.2 Likelihood and model classes 134
8.3 First order theory 138
8.4 Higher order density approximations 140
8.5 Tail area approximations 147
8.6 Tail area expressions for special cases 155
8.7 Approximations for Bayesian inference 161
8.8 Vector parameters of interest 164
9 Numerical implementation 170
9.1 Introduction 170
9.2 Building-blocks 171
9.3 Pivot profiling 174
9.4 Family objects and symbolic differentiation 177
9.5 Other software 182
10 Problems and further results 185
A Some numerical techniques 211
A.I Convergence of sequences 211
A.2 The sample mean 211
A.3 Laplace approximation 216
A.4 x2 approximations 217
References 219
Example index 229
Name index 230
Index 233 |
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| index_date | 2024-07-02T18:18:17Z |
| indexdate | 2024-07-09T21:01:45Z |
| institution | BVB |
| isbn | 0521847036 9780521847032 |
| language | English |
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| spelling | Brazzale, Alessandra R. Verfasser (DE-588)140637486 aut Applied asymptotics case studies in small-sample statistics A. R. Brazzale; A. C. Davison; N. Reid 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2007 VIII, 236 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge series in statistical and probalistic mathematics 23 Statistical hypothesis testing Asymptotic theory Statistische Hypothese (DE-588)4182959-1 gnd rswk-swf Bayes-Entscheidungstheorie (DE-588)4144220-9 gnd rswk-swf Likelihood-Funktion (DE-588)4657256-9 gnd rswk-swf Asymptotische Statistik (DE-588)4203167-9 gnd rswk-swf Asymptotische Statistik (DE-588)4203167-9 s Statistische Hypothese (DE-588)4182959-1 s Likelihood-Funktion (DE-588)4657256-9 s Bayes-Entscheidungstheorie (DE-588)4144220-9 s DE-604 Davison, Anthony C. 1958- Verfasser (DE-588)131983458 aut Reid, Nancy Verfasser aut Cambridge series in statistical and probalistic mathematics 23 (DE-604)BV011442366 23 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015822481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brazzale, Alessandra R. Davison, Anthony C. 1958- Reid, Nancy Applied asymptotics case studies in small-sample statistics Cambridge series in statistical and probalistic mathematics Statistical hypothesis testing Asymptotic theory Statistische Hypothese (DE-588)4182959-1 gnd Bayes-Entscheidungstheorie (DE-588)4144220-9 gnd Likelihood-Funktion (DE-588)4657256-9 gnd Asymptotische Statistik (DE-588)4203167-9 gnd |
| subject_GND | (DE-588)4182959-1 (DE-588)4144220-9 (DE-588)4657256-9 (DE-588)4203167-9 |
| title | Applied asymptotics case studies in small-sample statistics |
| title_auth | Applied asymptotics case studies in small-sample statistics |
| title_exact_search | Applied asymptotics case studies in small-sample statistics |
| title_exact_search_txtP | Applied asymptotics case studies in small-sample statistics |
| title_full | Applied asymptotics case studies in small-sample statistics A. R. Brazzale; A. C. Davison; N. Reid |
| title_fullStr | Applied asymptotics case studies in small-sample statistics A. R. Brazzale; A. C. Davison; N. Reid |
| title_full_unstemmed | Applied asymptotics case studies in small-sample statistics A. R. Brazzale; A. C. Davison; N. Reid |
| title_short | Applied asymptotics |
| title_sort | applied asymptotics case studies in small sample statistics |
| title_sub | case studies in small-sample statistics |
| topic | Statistical hypothesis testing Asymptotic theory Statistische Hypothese (DE-588)4182959-1 gnd Bayes-Entscheidungstheorie (DE-588)4144220-9 gnd Likelihood-Funktion (DE-588)4657256-9 gnd Asymptotische Statistik (DE-588)4203167-9 gnd |
| topic_facet | Statistical hypothesis testing Asymptotic theory Statistische Hypothese Bayes-Entscheidungstheorie Likelihood-Funktion Asymptotische Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015822481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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