Principles of Statistical Inference from a Neo-Fisherian Perspective
eBook - PDF

Principles of Statistical Inference from a Neo-Fisherian Perspective

  1. 556 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Principles of Statistical Inference from a Neo-Fisherian Perspective

About this book

In this book, an integrated introduction to statistical inference is provided from a frequentist likelihood-based viewpoint. Classical results are presented together with recent developments, largely built upon ideas due to R.A. Fisher. The term “neo-Fisherian” highlights this.

After a unified review of background material (statistical models, likelihood, data and model reduction, first-order asymptotics) and inference in the presence of nuisance parameters (including pseudo-likelihoods), a self-contained introduction is given to exponential families, exponential dispersion models, generalized linear models, and group families. Finally, basic results of higher-order asymptotics are introduced (index notation, asymptotic expansions for statistics and distributions, and major applications to likelihood inference).

The emphasis is more on general concepts and methods than on regularity conditions. Many examples are given for specific statistical models. Each chapter is supplemented with problems and bibliographic notes. This volume can serve as a textbook in intermediate-level undergraduate and postgraduate courses in statistical inference.

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Yes, you can access Principles of Statistical Inference from a Neo-Fisherian Perspective by Luigi Pace, Alessandra Salvan;;; in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. CONTENTS
  2. PREFACE
  3. LIST OF SYMBOLS
  4. CHAPTER 1 STATISTICAL MODELS
  5. CHAPTER 2 DATA AND MODEL REDUCTION
  6. CHAPTER 3 SURVEY OF SOME BASIC CONCEPTS AND TECHNIQUES
  7. CHAPTER 4 NUISANCE PARAMETERS AND PSEUDO-LIKELIHOODS
  8. CHAPTER 5 EXPONENTIAL FAMILIES
  9. CHAPTER 6 EXPONENTIAL DISPERSION FAMILIES AND GENERALIZED LINEAR MODELS
  10. CHAPTER 7 GROUP FAMILIES
  11. CHAPTER 8 ASYMPTOTIC METHODS: INTRODUCTION AND ELEMENTARY TECHNIQUES
  12. CHAPTER 9 ASYMPTOTIC EXPANSIONS FOR STATISTICS
  13. CHAPTER 10 ASYMPTOTIC EXPANSIONS FOR DISTRIBUTIONS
  14. CHAPTER 11 LIKELIHOOD AND HIGHER-ORDER ASYMPTOTICS
  15. APPENDIX A LAWS OF LARGE NUMBERS AND CENTRAL LIMIT THEOREMS
  16. APPENDIX B ASYMPTOTIC DISTRIBUTION OF EXTREMES
  17. APPENDIX C PARAMETRIC INFERENCE: BASIC TERMINOLOGY
  18. APPENDIX D RELATIONS BETWEEN THE FREQUENCY-DECISION AND FISHERIAN PARADIGMS
  19. REFERENCES
  20. AUTHOR INDEX
  21. SUBJECT INDEX