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Author : Ole E. Barndorff-Nielsen
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (26 download)
Download or read book Exponential Families and Conditioning written by Ole E. Barndorff-Nielsen and published by . This book was released on 1973 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lawrence D. Brown
Publisher : IMS
ISBN 13 : 9780940600102
Total Pages : 302 pages
Book Rating : 4.6/5 (1 download)
Download or read book Fundamentals of Statistical Exponential Families written by Lawrence D. Brown and published by IMS. This book was released on 1986 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rolf Sundberg
Publisher : Cambridge University Press
ISBN 13 : 1108476597
Total Pages : 297 pages
Book Rating : 4.1/5 (84 download)
Download or read book Statistical Modelling by Exponential Families written by Rolf Sundberg and published by Cambridge University Press. This book was released on 2019-08-29 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: A readable, digestible introduction to essential theory and wealth of applications, with a vast set of examples and numerous exercises.
Author : Bradley Efron
Publisher : Cambridge University Press
ISBN 13 : 1108805434
Total Pages : 264 pages
Book Rating : 4.1/5 (88 download)
Download or read book Exponential Families in Theory and Practice written by Bradley Efron and published by Cambridge University Press. This book was released on 2022-12-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 master's 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 doesn't require advanced mathematical preparation.
Author : O. Barndorff-Nielsen
Publisher : John Wiley & Sons
ISBN 13 : 1118857372
Total Pages : 248 pages
Book Rating : 4.1/5 (188 download)
Download or read book Information and Exponential Families written by O. Barndorff-Nielsen and published by John Wiley & Sons. This book was released on 2014-05-07 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published by Wiley in 1978, this book is being re-issued with a new Preface by the author. The roots of the book lie in the writings of RA Fisher both as concerns results and the general stance to statistical science, and this stance was the determining factor in the author's selection of topics. His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families of probability distributions.
Author : Uwe Küchler
Publisher : Springer Science & Business Media
ISBN 13 : 0387227652
Total Pages : 325 pages
Book Rating : 4.3/5 (872 download)
Download or read book Exponential Families of Stochastic Processes written by Uwe Küchler and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of the statistical theory of exponential families of stochastic processes. The book reviews the progress in the field made over the last ten years or so by the authors - two of the leading experts in the field - and several other researchers. The theory is applied to a broad spectrum of examples, covering a large number of frequently applied stochastic process models with discrete as well as continuous time. To make the reading even easier for statisticians with only a basic background in the theory of stochastic process, the first part of the book is based on classical theory of stochastic processes only, while stochastic calculus is used later. Most of the concepts and tools from stochastic calculus needed when working with inference for stochastic processes are introduced and explained without proof in an appendix. This appendix can also be used independently as an introduction to stochastic calculus for statisticians. Numerous exercises are also included.
Author : Wilfrid S. Kendall
Publisher : Routledge
ISBN 13 : 1351413724
Total Pages : 419 pages
Book Rating : 4.3/5 (514 download)
Download or read book Stochastic Geometry written by Wilfrid S. Kendall and published by Routledge. This book was released on 2019-06-10 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic geometry involves the study of random geometric structures, and blends geometric, probabilistic, and statistical methods to provide powerful techniques for modeling and analysis. Recent developments in computational statistical analysis, particularly Markov chain Monte Carlo, have enormously extended the range of feasible applications. Stochastic Geometry: Likelihood and Computation provides a coordinated collection of chapters on important aspects of the rapidly developing field of stochastic geometry, including: o a "crash-course" introduction to key stochastic geometry themes o considerations of geometric sampling bias issues o tesselations o shape o random sets o image analysis o spectacular advances in likelihood-based inference now available to stochastic geometry through the techniques of Markov chain Monte Carlo
Author : Martin J. Wainwright
Publisher : Now Publishers Inc
ISBN 13 : 1601981848
Total Pages : 324 pages
Book Rating : 4.6/5 (19 download)
Download or read book Graphical Models, Exponential Families, and Variational Inference written by Martin J. Wainwright and published by Now Publishers Inc. This book was released on 2008 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of this paper is a general set of variational principles for the problems of computing marginal probabilities and modes, applicable to multivariate statistical models in the exponential family.
Author : Ronald W. Butler
Publisher : Cambridge University Press
ISBN 13 : 1139466518
Total Pages : 548 pages
Book Rating : 4.1/5 (394 download)
Download or read book Saddlepoint Approximations with Applications written by Ronald W. Butler and published by Cambridge University Press. This book was released on 2007-08-16 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern statistical methods use complex, sophisticated models that can lead to intractable computations. Saddlepoint approximations can be the answer. Written from the user's point of view, this book explains in clear language how such approximate probability computations are made, taking readers from the very beginnings to current applications. The core material is presented in chapters 1-6 at an elementary mathematical level. Chapters 7-9 then give a highly readable account of higher-order asymptotic inference. Later chapters address areas where saddlepoint methods have had substantial impact: multivariate testing, stochastic systems and applied probability, bootstrap implementation in the transform domain, and Bayesian computation and inference. No previous background in the area is required. Data examples from real applications demonstrate the practical value of the methods. Ideal for graduate students and researchers in statistics, biostatistics, electrical engineering, econometrics, and applied mathematics, this is both an entry-level text and a valuable reference.
Author : Frank Nielsen
Publisher : Springer Nature
ISBN 13 : 3030654591
Total Pages : 274 pages
Book Rating : 4.0/5 (36 download)
Download or read book Progress in Information Geometry written by Frank Nielsen and published by Springer Nature. This book was released on 2021-03-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. The book project was initiated following discussions at the international conference GSI’2019 – Geometric Science of Information that was held at ENAC, Toulouse (France).
Author : Michael Woodroofe
Publisher : SIAM
ISBN 13 : 0898711800
Total Pages : 119 pages
Book Rating : 4.8/5 (987 download)
Download or read book Nonlinear Renewal Theory in Sequential Analysis written by Michael Woodroofe and published by SIAM. This book was released on 1982-01-31 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The global approach to nonlinear renewal theory is integrated with the author's own local approach. Both the theory and its applications are placed in perspective by including a discussion of the linear renewal theorem and its applications to the sequential probability ratio test. Applications to repeated significance tests, to tests with power one, and to sequential estimation are also included. The monograph is self- contained for readers with a working knowledge of measure-theoretic probability and intermediate statistical theory.
Author : Peter Auer
Publisher : Springer Science & Business Media
ISBN 13 : 3540265562
Total Pages : 703 pages
Book Rating : 4.5/5 (42 download)
Download or read book Learning Theory written by Peter Auer and published by Springer Science & Business Media. This book was released on 2005-06-20 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th Annual Conference on Learning Theory, COLT 2005, held in Bertinoro, Italy in June 2005. The 45 revised full papers together with three articles on open problems presented were carefully reviewed and selected from a total of 120 submissions. The papers are organized in topical sections on: learning to rank, boosting, unlabeled data, multiclass classification, online learning, support vector machines, kernels and embeddings, inductive inference, unsupervised learning, generalization bounds, query learning, attribute efficiency, compression schemes, economics and game theory, separation results for learning models, and survey and prospects on open problems.
Author : Mark Podolskij
Publisher : Springer
ISBN 13 : 3319258265
Total Pages : 529 pages
Book Rating : 4.3/5 (192 download)
Download or read book The Fascination of Probability, Statistics and their Applications written by Mark Podolskij and published by Springer. This book was released on 2015-12-26 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting together twenty-three self-contained articles, this volume presents the current research of a number of renowned scientists in both probability theory and statistics as well as their various applications in economics, finance, the physics of wind-blown sand, queueing systems, risk assessment, turbulence and other areas. The contributions are dedicated to and inspired by the research of Ole E. Barndorff-Nielsen who, since the early 1960s, has been and continues to be a very active and influential researcher working on a wide range of important problems. The topics covered include, but are not limited to, econometrics, exponential families, Lévy processes and infinitely divisible distributions, limit theory, mathematical finance, random matrices, risk assessment, statistical inference for stochastic processes, stochastic analysis and optimal control, time series, and turbulence. The book will be of interest to researchers and graduate students in probability, statistics and their applications.
Author : J. Hoffman-Jorgensen
Publisher : CRC Press
ISBN 13 : 9780412052316
Total Pages : 554 pages
Book Rating : 4.0/5 (523 download)
Download or read book Probability With a View Towards Statistics written by J. Hoffman-Jorgensen and published by CRC Press. This book was released on 1994-05-15 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.
Author : Sergei A. Avdonin
Publisher : Cambridge University Press
ISBN 13 : 9780521452434
Total Pages : 324 pages
Book Rating : 4.4/5 (524 download)
Download or read book Families of Exponentials written by Sergei A. Avdonin and published by Cambridge University Press. This book was released on 1995-11-24 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the newly developed theory of non-harmonic Fourier series and its applications to the control of distributed parameter systems.
Author : Brian Skyrms
Publisher : Oxford University Press
ISBN 13 : 0199652805
Total Pages : 263 pages
Book Rating : 4.1/5 (996 download)
Download or read book From Zeno to Arbitrage written by Brian Skyrms and published by Oxford University Press. This book was released on 2012-11-29 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brian Skyrms presents a set of influential essays which deploy formal methods to address epistemological and metaphysical questions. The first part of the book focuses on quantity; the second on degrees of belief, belief revision, and coherence; the third on aspects of inductive reasoning.
Author : George R. Terrell
Publisher : Springer Science & Business Media
ISBN 13 : 0387227695
Total Pages : 467 pages
Book Rating : 4.3/5 (872 download)
Download or read book Mathematical Statistics written by George R. Terrell and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces the mathematical concepts and methods that underlie statistics. The course is unified, in the sense that no prior knowledge of probability theory is assumed, being developed as needed. The book is committed to both a high level of mathematical seriousness and to an intimate connection with application. In its teaching style, the book is * mathematically complete * concrete * constructive * active. The text is aimed at the upper undergraduate or the beginning Masters program level. It assumes the usual two-year college mathematics sequence, including an introduction to multiple integrals, matrix algebra, and infinite series.
