Exponential Families Exact Theory
Author : Ole E. Barndorff-Nielsen
Publisher :
Page : 248 pages
File Size : 45,44 MB
Release : 1970
Category : Convex domains
ISBN :
Author : Ole E. Barndorff-Nielsen
Publisher :
Page : 248 pages
File Size : 45,44 MB
Release : 1970
Category : Convex domains
ISBN :
Author : Ole Barndorff- Nielsen
Publisher :
Page : pages
File Size : 47,11 MB
Release : 1970
Category : Exponential functions
ISBN :
Author : Bradley Efron
Publisher : Cambridge University Press
Page : 264 pages
File Size : 29,70 MB
Release : 2022-12-15
Category : Mathematics
ISBN : 1108805434
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 : Lawrence D. Brown
Publisher : IMS
Page : 302 pages
File Size : 12,12 MB
Release : 1986
Category : Business & Economics
ISBN : 9780940600102
Author : Martin J. Wainwright
Publisher : Now Publishers Inc
Page : 324 pages
File Size : 43,33 MB
Release : 2008
Category : Computers
ISBN : 1601981848
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 : Ole E. Barndorff-Nielsen
Publisher :
Page : 268 pages
File Size : 12,12 MB
Release : 1973
Category : Distribution (Probability theory)
ISBN :
Author : Bernard P. Veldkamp
Publisher : Springer
Page : 394 pages
File Size : 19,98 MB
Release : 2019-07-05
Category : Education
ISBN : 3030184803
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.
Author : O. Barndorff-Nielsen
Publisher : John Wiley & Sons
Page : 248 pages
File Size : 46,20 MB
Release : 2014-05-07
Category : Mathematics
ISBN : 1118857372
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 : Søren Johansen
Publisher :
Page : 116 pages
File Size : 47,60 MB
Release : 1979
Category : Distribution (Probability theory)
ISBN :
Author : Frank Nielsen
Publisher : Springer
Page : 764 pages
File Size : 36,15 MB
Release : 2019-08-19
Category : Computers
ISBN : 3030269809
This book constitutes the proceedings of the 4th International Conference on Geometric Science of Information, GSI 2019, held in Toulouse, France, in August 2019. The 79 full papers presented in this volume were carefully reviewed and selected from 105 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications.