Statistical Modelling By Exponential Families
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Statistical Modelling By Exponential Families
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Author : Rolf Sundberg
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-29
Statistical Modelling By Exponential Families written by Rolf Sundberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-29 with Business & Economics categories.
A readable, digestible introduction to essential theory and wealth of applications, with a vast set of examples and numerous exercises.
Graphical Models Exponential Families And Variational Inference
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Author : Martin J. Wainwright
language : en
Publisher: Now Publishers Inc
Release Date : 2008
Graphical Models Exponential Families And Variational Inference written by Martin J. Wainwright and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.
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.
Exponential Family Nonlinear Models
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Author : Bo-Cheng Wei
language : en
Publisher:
Release Date : 1998-09
Exponential Family Nonlinear Models written by Bo-Cheng Wei and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09 with Mathematics categories.
This book gives a comprehensive introduction to exponential family nonlinear models, which are the natural extension of generalized linear models and normal nonlinear regression models. The differential geometric framework is presented for these models and geometric methods are widely used in this book. This book is ideally suited for researchers in statistical interfaces and graduate students with a basic knowledge of statistics.
Multivariate Exponential Families A Concise Guide To Statistical Inference
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Author : Stefan Bedbur
language : en
Publisher:
Release Date : 2021
Multivariate Exponential Families A Concise Guide To Statistical Inference written by Stefan Bedbur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
This book provides a concise introduction to exponential families. Parametric families of probability distributions and their properties are extensively studied in the literature on statistical modeling and inference. Exponential families of distributions comprise density functions of a particular form, which enables general assertions and leads to nice features. With a focus on parameter estimation and hypotheses testing, the text introduces the reader to distributional and statistical properties of multivariate and multiparameter exponential families along with a variety of detailed examples. The material is widely self-contained and written in a mathematical setting. It may serve both as a concise, mathematically rigorous course on exponential families in a systematic structure and as an introduction to Mathematical Statistics restricted to the use of exponential families.
Exponential Families Of Stochastic Processes
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Author : Uwe Küchler
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-09
Exponential Families Of Stochastic Processes written by Uwe Küchler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-09 with Mathematics categories.
Exponential families of stochastic processes are parametric stochastic p- cess models for which the likelihood function exists at all ?nite times and has an exponential representation where the dimension of the canonical statistic is ?nite and independent of time. This de?nition not only covers manypracticallyimportantstochasticprocessmodels,italsogivesrisetoa rather rich theory. This book aims at showing both aspects of exponential families of stochastic processes. Exponential families of stochastic processes are tractable from an a- lytical as well as a probabilistic point of view. Therefore, and because the theory covers many important models, they form a good starting point for an investigation of the statistics of stochastic processes and cast interesting light on basic inference problems for stochastic processes. Exponential models play a central role in classical statistical theory for independent observations, where it has often turned out to be informative and advantageous to view statistical problems from the general perspective of exponential families rather than studying individually speci?c expon- tial families of probability distributions. The same is true of stochastic process models. Thus several published results on the statistics of parti- lar process models can be presented in a uni?ed way within the framework of exponential families of stochastic processes.
Fundamentals Of Statistical Exponential Families
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Author : Lawrence D. Brown
language : en
Publisher: IMS
Release Date : 1986
Fundamentals Of Statistical Exponential Families written by Lawrence D. Brown and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Business & Economics categories.
Generalized Linear Models
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Author : Jeff Gill
language : en
Publisher: SAGE Publications
Release Date : 2000-08-07
Generalized Linear Models written by Jeff Gill and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-07 with Social Science categories.
The author explains the theoretical underpinnings of generalized linear models so that researchers can decide how to select the best way to adapt their data for this type of analysis. Examples are provided to illustrate the application of GLM to actual data and the author includes his Web address where additional resources can be found.
Theoretical And Practical Advances In Computer Based Educational Measurement
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Author : Bernard P. Veldkamp
language : en
Publisher: Springer
Release Date : 2019-07-05
Theoretical And Practical Advances In Computer Based Educational Measurement written by Bernard P. Veldkamp and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-05 with Education categories.
This open access book presents a large number of innovations in the world of operational testing. It brings together different but related areas and provides insight in their possibilities, their advantages and drawbacks. The book not only addresses improvements in the quality of educational measurement, innovations in (inter)national large scale assessments, but also several advances in psychometrics and improvements in computerized adaptive testing, and it also offers examples on the impact of new technology in assessment. Due to its nature, the book will appeal to a broad audience within the educational measurement community. It contributes to both theoretical knowledge and also pays attention to practical implementation of innovations in testing technology.
Saddlepoint Approximations With Applications
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Author : Ronald W. Butler
language : en
Publisher: Cambridge University Press
Release Date : 2007-08-16
Saddlepoint Approximations With Applications written by Ronald W. Butler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-16 with Mathematics categories.
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.
Conditional Specification Of Statistical Models
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Author : Barry C. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-02
Conditional Specification Of Statistical Models written by Barry C. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-02 with Mathematics categories.
Efforts to visualize multivariate densities necessarily involve the use of cross-sections, or, equivalently, conditional densities. This book focuses on distributions that are completely specified in terms of conditional densities. They are appropriately used in any modeling situation where conditional information is completely or partially available. All statistical researchers seeking more flexible models than those provided by classical models will find conditionally specified distributions of interest.