Probability for Statistics and Machine Learning: Fundamentals and Advanced Topic

Description: Probability for Statistics and Machine Learning by Anirban DasGupta This book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning. It is written in an extremely accessible style, with elaborate motivating discussions and numerous worked out examples and exercises. The book has 20 chapters on a wide range of topics, 423 worked out examples, and 808 exercises. It is unique in its unification of probability and statistics, its coverage and its superb exercise sets, detailed bibliography, and in its substantive treatment of many topics of current importance.This book can be used as a text for a year long graduate course in statistics, computer science, or mathematics, for self-study, and as an invaluable research reference on probabiliity and its applications. Particularly worth mentioning are the treatments of distribution theory, asymptotics, simulation and Markov Chain Monte Carlo, Markov chains and martingales, Gaussian processes, VC theory, probability metrics, large deviations, bootstrap, the EM algorithm, confidence intervals, maximum likelihood and Bayes estimates, exponential families, kernels, and Hilbert spaces, and a self contained complete review of univariate probability. Notes Unification of probability, statistics, and machine learning tools provides a complete background for teaching and future research inmultiple areasLucid and encyclopedic coverage allows the user to find and conceptually understand numerous topics by using a single source1225 worked out examples and exercises provide essential skills in problem solving and help in self-study Back Cover This book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning. It is written in an extremely accessible style, with elaborate motivating discussions and numerous worked out examples and exercises. The book has 20 chapters on a wide range of topics, 423 worked out examples, and 808 exercises. It is unique in its unification of probability and statistics, its coverage and its superb exercise sets, detailed bibliography, and in its substantive treatment of many topics of current importance. This book can be used as a text for a year long graduate course in statistics, computer science, or mathematics, for self-study, and as an invaluable research reference on probabiliity and its applications. Particularly worth mentioning are the treatments of distribution theory, asymptotics, simulation and Markov Chain Monte Carlo, Markov chains and martingales, Gaussian processes, VC theory, probability metrics, large deviations, bootstrap, the EM algorithm, confidence intervals, maximum likelihood and Bayes estimates, exponential families, kernels, and Hilbert spaces, and a self contained complete review of univariate probability. Author Biography Anirban DasGupta has been professor of statistics at Purdue University since 1994. He is the author of Springers Asymptotic Theory of Probability and Statistics, and Fundamentals of Probability, A First Course. He is an associate editor of the Annals of Statistics and has also served on the editorial boards of JASA, Journal of Statistical Planning and Inference, International Statistical Review, Statistics Surveys, Sankhya, and Metrika. He has edited four research monographs, and has recently edited the selected works of Debabrata Basu. He was elected a Fellow of the IMS in 1993, is a former member of the IMS Council, and has authored a total of 105 monographs and research articles. Table of Contents Chapter 1. Review of Univariate Probability.- Chapter 2. Multivariate Discrete Distributions.- Chapter 3. Multidimensional Densities.- Chapter 4. Advance Distribution Theory.- Chapter 5. Multivariate Normal and Related Distributions.- Chapter 6. Finite Sample Theory of Order Statistics and Extremes.- Chapter 7. Essential Asymptotics and Applications.- Chapter 8. Characteristic Functions and Applications.- Chapter 9. Asymptotics of Extremes and Order Statistics.- Chapter 10. Markov Chains and Applications.- Chapter 11. Random Walks.- Chapter 12. Brownian Motion and Gaussian Processes.- Chapter 13. Posson Processes and Applications.- Chapter 14. Discrete Time Martingales and Concentration Inequalities.- Chapter 15. Probability Metrics.- Chapter 16. Empirical Processes and VC Theory.- Chapter 17. Large Deviations.- Chapter 18. The Exponential Family and Statistical Applications.- Chapter 19. Simulation and Markov Chain Monte Carlo.- Chapter 20. Useful Tools for Statistics and Machine Learning.- Appendix A. Symbols, Useful Formulas, and Normal Table. Review From the reviews:"It is a companion second volume to the authors undergraduate text Fundamentals of Probability: A First course … . The author seeks to provide readers with a comprehensive coverage of probability for students, instructors, and researchers in areas such as statistics and machine learning. … It has extensive references to other sources, a large number of examples, and … this is sufficient for an instructor to rotate them between semesters." (David J. Hand, International Statistical Review, Vol. 81 (1), 2013)"This book provides extensive coverage of the numerous applications that probability theory has found in statistics over the past century and more recently in machine learning. … All chapters are completed with numerous examples and exercises. Moreover, the book compiles an extensive bibliography that is conveniently appended to each relevant chapter. It is a valuable reference for both experienced researchers and students in statistics and machine learning. Several courses could be taught using this book as a reference … ." (Philippe Rigollet, Mathematical Reviews, Issue 2012 d)"The author provides a comprehensive overview of probability theory with a focus on applications in statistics and machine learning. The material in the book ranges from classical results to modern topics … . the book is a very good choice as a first reading. … contains a large number of exercises that support the reader in getting a deeper understanding of the topics. This collection makes the volume even more valuable as a text book for students or for a course on basic probability theory." (H. M. Mai, Zentralblatt MATH, Vol. 1233, 2012) Long Description This book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning. It is written in an extremely accessible style, with elaborate motivating discussions and numerous worked out examples and exercises. The book has 20 chapters on a wide range of topics, 423 worked out examples, and 808 exercises. It is unique in its unification of probability and statistics, its coverage and its superb exercise sets, detailed bibliography, and in its substantive treatment of many topics of current importance. This book can be used as a text for a year long graduate course in statistics, computer science, or mathematics, for self-study, and as an invaluable research reference on probabiliity and its applications. Particularly worth mentioning are the treatments of distribution theory, asymptotics, simulation and Markov Chain Monte Carlo, Markov chains and martingales, Gaussian processes, VC theory, probability metrics, large deviations, bootstrap, the EM algorithm, confidence intervals, maximum likelihood and Bayes estimates, exponential families, kernels, and Hilbert spaces, and a self contained complete review of univariate probability. Review Quote From the reviews:This book provides extensive coverage of the numerous applications that probability theory has found in statistics over the past century and more recently in machine learning. … All chapters are completed with numerous examples and exercises. Moreover, the book compiles an extensive bibliography that is conveniently appended to each relevant chapter. It is a valuable reference for both experienced researchers and students in statistics and machine learning. Several courses could be taught using this book as a reference … . (Philippe Rigollet, Mathematical Reviews, Issue 2012 d) Feature Unification of probability, statistics, and machine learning tools provides a complete background for teaching and future research inmultiple areas Lucid and encyclopedic coverage allows the user to find and conceptually understand numerous topics by using a single source 1225 worked out examples and exercises provide essential skills in problem solving and help in self-study Details ISBN1441996338 Year 2011 ISBN-10 1441996338 ISBN-13 9781441996336 Media Book Format Hardcover Publisher Springer-Verlag New York Inc. Series Springer Texts in Statistics Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States DEWEY 519.5 Short Title PROBABILITY FOR STATISTICS & M Language English Subtitle Fundamentals and Advanced Topics Edition 2011th Pages 784 DOI 10.1007/978-1-4419-9634-3 UK Release Date 2011-05-27 AU Release Date 2011-05-27 NZ Release Date 2011-05-27 US Release Date 2011-05-27 Illustrations XX, 784 p. Publication Date 2011-05-27 Edition Description 2011 ed. Alternative 9781461428848 Audience Professional & Vocational Author Anirban DasGupta 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:137906438;

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