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Principles of Statistical Inference

In this definitive book, D. R. Cox gives a comprehensive and balanced appraisal of statistical inference. He develops the key concepts, describing and comparing the main ideas and controversies over foundational issues that have been keenly argued for more than two-hundred years. Continuing a sixty-year career of major contributions to statistical thought, no one is better placed to give this much-needed account of the field. An appendix gives a more personal assessment of the merits of different ideas. The content ranges from the traditional to the contemporary. While specific applications are not treated, the book is strongly motivated by applications across the sciences and associated technologies. The mathematics is kept as elementary as feasible, though previous knowledge of statistics is assumed. The book will be valued by every user or student of statistics who is serious about understanding the uncertainty inherent in conclusions from statistical analyses.
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Table of Contents

Preface; 1. Preliminaries; 2. Some concepts and simple applications; 3. Significance tests; 4. More complicated situations; 5. Some interpretational issues; 6. Asymptotic theory; 7. Further aspects of maximum likelihood; 8. Additional objectives; 9. Randomization-based analysis; Appendix A. A brief history; Appendix B. A personal view; References; Author index; Index.

About the Author

D. R. Cox is one of the world's preeminent statisticians. Author or co-author of sixteen books and roughly 250 papers, his work on the proportional hazards regression model is one of the most-cited and most influential papers in modern statistics.


'A deep and beautifully elegant overview of statistical inference, from one of the towering figures who created modern statistics. This book should be essential reading for all who call themselves 'statistician'.' David Hand, Imperial College London 'The explanations of key concepts are written so clearly ... that they may be understood even if the mathematical details are skipped.' MAA Online 'The text is very well written and gives a balanced view of the frequentist and Bayesian notions of probability, without favouring one over the other.' Journal of Applied Statistics '... ideally suited for statisticians at all levels who want to refresh their own understanding of the theory of statistical inference without having to wade through theorems and proofs.' Biometrics

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