Theoretical Statistics PDF Download
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Author | : Robert W. Keener |
Publisher | : Springer Science & Business Media |
Total Pages | : 543 |
Release | : 2010-09-08 |
Genre | : Mathematics |
ISBN | : 0387938397 |
Download Theoretical Statistics Book in PDF, ePub and Kindle
Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the notation and basic results needed are presented in an initial chapter on probability, so prior knowledge of these topics is not essential. The presentation is designed to expose students to as many of the central ideas and topics in the discipline as possible, balancing various approaches to inference as well as exact, numerical, and large sample methods. Moving beyond more standard material, the book includes chapters introducing bootstrap methods, nonparametric regression, equivariant estimation, empirical Bayes, and sequential design and analysis. The book has a rich collection of exercises. Several of them illustrate how the theory developed in the book may be used in various applications. Solutions to many of the exercises are included in an appendix.
Author | : D.R. Cox |
Publisher | : CRC Press |
Total Pages | : 1060 |
Release | : 1979-09-06 |
Genre | : Mathematics |
ISBN | : 9780412161605 |
Download Theoretical Statistics Book in PDF, ePub and Kindle
A text that stresses the general concepts of the theory of statistics Theoretical Statistics provides a systematic statement of the theory of statistics, emphasizing general concepts rather than mathematical rigor. Chapters 1 through 3 provide an overview of statistics and discuss some of the basic philosophical ideas and problems behind statistical procedures. Chapters 4 and 5 cover hypothesis testing with simple and null hypotheses, respectively. Subsequent chapters discuss non-parametrics, interval estimation, point estimation, asymptotics, Bayesian procedure, and deviation theory. Student familiarity with standard statistical techniques is assumed.
Author | : Mark J. Schervish |
Publisher | : Springer Science & Business Media |
Total Pages | : 732 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461242509 |
Download Theory of Statistics Book in PDF, ePub and Kindle
The aim of this graduate textbook is to provide a comprehensive advanced course in the theory of statistics covering those topics in estimation, testing, and large sample theory which a graduate student might typically need to learn as preparation for work on a Ph.D. An important strength of this book is that it provides a mathematically rigorous and even-handed account of both Classical and Bayesian inference in order to give readers a broad perspective. For example, the "uniformly most powerful" approach to testing is contrasted with available decision-theoretic approaches.
Author | : David A. Freedman |
Publisher | : Cambridge University Press |
Total Pages | : 459 |
Release | : 2009-04-27 |
Genre | : Mathematics |
ISBN | : 1139477315 |
Download Statistical Models Book in PDF, ePub and Kindle
This lively and engaging book explains the things you have to know in order to read empirical papers in the social and health sciences, as well as the techniques you need to build statistical models of your own. The discussion in the book is organized around published studies, as are many of the exercises. Relevant journal articles are reprinted at the back of the book. Freedman makes a thorough appraisal of the statistical methods in these papers and in a variety of other examples. He illustrates the principles of modelling, and the pitfalls. The discussion shows you how to think about the critical issues - including the connection (or lack of it) between the statistical models and the real phenomena. The book is written for advanced undergraduates and beginning graduate students in statistics, as well as students and professionals in the social and health sciences.
Author | : Dénes Petz |
Publisher | : Springer Science & Business Media |
Total Pages | : 221 |
Release | : 2007-10-20 |
Genre | : Science |
ISBN | : 3540746366 |
Download Quantum Information Theory and Quantum Statistics Book in PDF, ePub and Kindle
This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.
Author | : Giorgio Alleva |
Publisher | : Springer |
Total Pages | : 306 |
Release | : 2016-05-19 |
Genre | : Mathematics |
ISBN | : 3319272748 |
Download Topics in Theoretical and Applied Statistics Book in PDF, ePub and Kindle
This book highlights the latest research findings from the 46th International Meeting of the Italian Statistical Society (SIS) in Rome, during which both methodological and applied statistical research was discussed. This selection of fully peer-reviewed papers, originally presented at the meeting, addresses a broad range of topics, including the theory of statistical inference; data mining and multivariate statistical analysis; survey methodologies; analysis of social, demographic and health data; and economic statistics and econometrics.
Author | : D.R. Cox |
Publisher | : CRC Press |
Total Pages | : 525 |
Release | : 1979-09-06 |
Genre | : Mathematics |
ISBN | : 148221492X |
Download Theoretical Statistics Book in PDF, ePub and Kindle
A text that stresses the general concepts of the theory of statistics Theoretical Statistics provides a systematic statement of the theory of statistics, emphasizing general concepts rather than mathematical rigor. Chapters 1 through 3 provide an overview of statistics and discuss some of the basic philosophical ideas and problems behind statistica
Author | : David Roxbee Cox |
Publisher | : Chapman & Hall |
Total Pages | : 216 |
Release | : 1978 |
Genre | : Mathematics |
ISBN | : |
Download Problems and Solutions in Theoretical Statistics Book in PDF, ePub and Kindle
Some general concepts; Pure significance tests; Significance tests: simple null hypotheses; Significance tests: composite null hypotheses; Distribution-free and randomization tests; Interval estimation; Point estimation; Asymptotic theory; Bayesian methods; Decision theory.
Author | : Tailen Hsing |
Publisher | : John Wiley & Sons |
Total Pages | : 363 |
Release | : 2015-05-06 |
Genre | : Mathematics |
ISBN | : 0470016914 |
Download Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators Book in PDF, ePub and Kindle
Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA). The self–contained treatment of selected topics of functional analysis and operator theory includes reproducing kernel Hilbert spaces, singular value decomposition of compact operators on Hilbert spaces and perturbation theory for both self–adjoint and non self–adjoint operators. The probabilistic foundation for FDA is described from the perspective of random elements in Hilbert spaces as well as from the viewpoint of continuous time stochastic processes. Nonparametric estimation approaches including kernel and regularized smoothing are also introduced. These tools are then used to investigate the properties of estimators for the mean element, covariance operators, principal components, regression function and canonical correlations. A general treatment of canonical correlations in Hilbert spaces naturally leads to FDA formulations of factor analysis, regression, MANOVA and discriminant analysis. This book will provide a valuable reference for statisticians and other researchers interested in developing or understanding the mathematical aspects of FDA. It is also suitable for a graduate level special topics course.
Author | : George Casella |
Publisher | : CRC Press |
Total Pages | : 1746 |
Release | : 2024-05-23 |
Genre | : Mathematics |
ISBN | : 1040024025 |
Download Statistical Inference Book in PDF, ePub and Kindle
This classic textbook builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and natural extensions, and consequences, of previous concepts. It covers all topics from a standard inference course including: distributions, random variables, data reduction, point estimation, hypothesis testing, and interval estimation. Features The classic graduate-level textbook on statistical inference Develops elements of statistical theory from first principles of probability Written in a lucid style accessible to anyone with some background in calculus Covers all key topics of a standard course in inference Hundreds of examples throughout to aid understanding Each chapter includes an extensive set of graduated exercises Statistical Inference, Second Edition is primarily aimed at graduate students of statistics, but can be used by advanced undergraduate students majoring in statistics who have a solid mathematics background. It also stresses the more practical uses of statistical theory, being more concerned with understanding basic statistical concepts and deriving reasonable statistical procedures, while less focused on formal optimality considerations. This is a reprint of the second edition originally published by Cengage Learning, Inc. in 2001.