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Bibliographic Details
Main Author:	Cox, David R. 1924-2022 (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2006
Edition:	1. publ.
Subjects:	Probabilités Statistique mathématique Statistische analyse Mathematical statistics Probabilities Inferenzstatistik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015464185&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XV, 219 S. graph. Darst.
ISBN:	9780521866736 0521866731 9780521685672 0521685672

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adam_text	Contents List of examples ix Preface xiii 1 Preliminaries 1 Summary 1 1.1 Starting point ] 1.2 Role of formal theory of inference 3 1.3 Some simple models 3 1.4 Formulation of objectives 7 1.5 Two broad approaches to statistical inference 7 1.6 Some further discussion 10 1.7 Parameters 13 Notes 1 14 2 Some concepts and simple applications 17 Summary 17 2.1 Likelihood 17 2.2 Sufficiency 18 2.3 Exponential family 20 2.4 Choice of priors for exponential family problems 23 2.5 Simple frequentist discussion 24 2.6 Pivots 25 Notes 2 27 3 Significance tests 30 Summary 30 3.1 General remarks 30 3.2 Simple significance test 31 3.3 One and two sided tests 35 3.4 Relation with acceptance and rejection 36 3.5 Formulation of alternatives and test statistics 36 3.6 Relation with interval estimation 40 3.7 Interpretation of significance tests 41 3.8 Bayesian testing 42 Notes 3 43 4 More complicated situations 45 Summary 45 4.1 General remarks 45 4.2 General Bayesian formulation 45 4.3 Frequentist analysis 47 4.4 Some more general frequentist developments 50 4.5 Some further Bayesian examples 59 Notes 4 62 5 Interpretations of uncertainty 64 Summary 64 5.1 General remarks 64 5.2 Broad roles of probability 65 5.3 Frequentist interpretation of upper limits 66 5.4 Neyman Pearson operational criteria 68 5.5 Some general aspects of the frequentist approach 68 5.6 Yet more on the frequentist approach 69 5.7 Personalistic probability 71 5.8 Impersonal degree of belief 73 5.9 Reference priors 76 5.10 Temporal coherency 78 5.11 Degree of belief and frequency 79 5.12 Statistical implementation of Bayesian analysis 79 5.13 Model uncertainty 84 5.14 Consistency of data and prior 85 5.15 Relevance of frequentist assessment 85 5.16 Sequential stopping 88 5.17 A simple classification problem 91 Notes 5 93 6 Asymptotic theory 96 Summary 96 6.1 General remarks 96 6.2 Scalar parameter 97 6.3 Multidimensional parameter 107 6.4 Nuisance parameters 109 6.5 Tests and model reduction 114 6.6 Comparative discussion 117 6.7 Profile likelihood as an information summarizer 119 6.8 Constrained estimation 120 6.9 Semi asymptotic arguments 124 6.10 Numerical analytic aspects 125 6.11 Higher order asymptotics 128 Notes 6 130 7 Further aspects of maximum likelihood 133 Summary 133 7.1 Multimodal likelihoods 133 7.2 Irregular form 135 7.3 Singular information matrix 139 7.4 Failure of model 141 7.5 Unusual parameter space 142 7.6 Modified likelihoods 144 Notes 7 159 8 Additional objectives 161 Summary 161 8.1 Prediction 161 8.2 Decision analysis 162 8.3 Point estimation 163 8.4 Non likelihood based methods 169 Notes 8 175 9 Randomization based analysis 178 Summary 178 9.1 General remarks 178 9.2 Sampling a finite population 179 9.3 Design of experiments 184 Notes 9 192 Appendix A: A brief history 194 Appendix B: A personal view 197 References 201 Author index 209 Subject index 213
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subject_GND	(DE-588)4247120-5
title	Principles of statistical inference
title_auth	Principles of statistical inference
title_exact_search	Principles of statistical inference
title_full	Principles of statistical inference D. R. Cox
title_fullStr	Principles of statistical inference D. R. Cox
title_full_unstemmed	Principles of statistical inference D. R. Cox
title_short	Principles of statistical inference
title_sort	principles of statistical inference
topic	Probabilités Statistique mathématique Statistische analyse gtt Mathematical statistics Probabilities Inferenzstatistik (DE-588)4247120-5 gnd
topic_facet	Probabilités Statistique mathématique Statistische analyse Mathematical statistics Probabilities Inferenzstatistik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015464185&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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