Exponential Families in Theory and Practice by Bradley Efron Paperback Book

Description: Exponential Families in Theory and Practice by Bradley Efron This book is aimed at Ph.D. and advanced M.S. students of statistics who need to understand modern statistical theory both in its exponential family structure and its applications, without requiring advanced mathematical preparation. Connections with logistic regression, survival analysis, Bayesian methods, and false discovery rates are emphasized. FORMAT Paperback CONDITION Brand New Publisher Description During the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been matched, and more than matched, in the world of applications, where logistic regression by itself has become the go-to methodology in medical statistics, computer-based prediction algorithms, and the social sciences. This book is based on a one-semester graduate course for first year Ph.D. and advanced masters students. After presenting the basic structure of univariate and multivariate exponential families, their application to generalized linear models including logistic and Poisson regression is described in detail, emphasizing geometrical ideas, computational practice, and the analogy with ordinary linear regression. Connections are made with a variety of current statistical methodologies: missing data, survival analysis and proportional hazards, false discovery rates, bootstrapping, and empirical Bayes analysis. The book connects exponential family theory with its applications in a way that doesnt require advanced mathematical preparation. Author Biography Bradley Efron is Professor Emeritus of Statistics and Biomedical Data Science at Stanford University. He is the inventor of the bootstrap method for assessing statistical accuracy. He has published extensively on statistical theory and its applications, with particular attention to exponential families. A MacArthur fellow, he is a member of the National Academy of Sciences. He received the National Medal of Science in 2007. Table of Contents 1. One-parameter exponential families; 2. Multiparameter exponential families; 3. Generalized linear models; 4. Curved exponential families, eb, missing data, and the em algorithm; 5. Bootstrap confidence intervals; Bibliography; Index. Review This book provides a unique perspective on exponential families, bringing together theory and methods into a unified whole. No other text covers the range of topics in this text. If you want to understand the why as well as the `how of exponential families, then this book should be on your bookshelf. Larry Wasserman, Carnegie Mellon UniversityI am excited to see the publication of this monograph on exponential families by my friend and colleague Brad Efron. I learned some of this material during my Ph.D. studies at Stanford from the maestro himself, as well as the geometry of curved exponential families, Hoeffdings lemma, the Lindsey method, and the list goes on. They have lived with me my entire career and informed our work on GAMs and sparse GLMs. Generations of Stanford students have shared this privilege, and now generations in the future will be able to enjoy the unique Efron style. Trevor Hastie, Stanford UniversityExponential families can be magical in simplifying both theoretical and applied statistical analyses. Brad Efrons wonderful book exposes their secrets, from R. A. Fishers early magic to Efrons own bootstrap: an essential text for understanding how data of all sizes can be approached scientifically. Stephen Stigler, University of ChicagoThis book provides an original and accessible study of statistical inference in the class of models called exponential families. The mathematical properties and flexibility of this class makes the models very useful for statistical practice – they underpin the class of generalized linear models, for example. Writing with his characteristic elegance and clarity, Efron shows how exponential families underpin, and provide insight into, many modern topics in statistical science, including bootstrap inference, empirical Bayes methodology, high-dimensional inference, analysis of survival data, missing data, and more. Nancy Reid, University of TorontoIn this book, Brad Efron illuminates the exponential family as a practical, extendible, and crucial ingredient in all manners of data analysis, be they Bayesian, frequentist, or machine learning. He shows us how to shape, understand, and employ these distributions in both algorithms and analysis. The book is crisp, insightful, and indispensable. David Blei, Columbia University Promotional This accessible course on a central player in modern statistical practice connects models with methodology, without need for advanced math. Review Quote This book provides a unique perspective on exponential families, bringing together theory and methods into a unified whole. No other text covers the range of topics in this text. If you want to understand the why as well as the how of exponential families, then this book should be on your bookshelf. Larry Wasserman, Carnegie Mellon University Promotional "Headline" This accessible course on a central player in modern statistical practice connects models with methodology, without need for advanced math. Details ISBN1108715664 Author Bradley Efron Publisher Cambridge University Press Year 2022 ISBN-10 1108715664 ISBN-13 9781108715669 Format Paperback Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Illustrations Worked examples or Exercises Publication Date 2022-12-15 UK Release Date 2022-12-15 Pages 262 AU Release Date 2022-12-15 NZ Release Date 2022-12-15 Series Institute of Mathematical Statistics Textbooks Alternative 9781108488907 DEWEY 519.5 Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:149465464;

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