Statistical Modelling by Exponential Families - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Modelling by Exponential Families write by Rolf Sundberg. This book was released on 2019-08-29. Statistical Modelling by Exponential Families available in PDF, EPUB and Kindle. A readable, digestible introduction to essential theory and wealth of applications, with a vast set of examples and numerous exercises.
Statistical Modelling by Exponential Families
Statistical Modelling by Exponential Families - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Modelling by Exponential Families write by Rolf Sundberg. This book was released on 2019-08-29. Statistical Modelling by Exponential Families available in PDF, EPUB and Kindle. This book is a readable, digestible introduction to exponential families, encompassing statistical models based on the most useful distributions in statistical theory, including the normal, gamma, binomial, Poisson, and negative binomial. Strongly motivated by applications, it presents the essential theory and then demonstrates the theory's practical potential by connecting it with developments in areas like item response analysis, social network models, conditional independence and latent variable structures, and point process models. Extensions to incomplete data models and generalized linear models are also included. In addition, the author gives a concise account of the philosophy of Per Martin-Löf in order to connect statistical modelling with ideas in statistical physics, including Boltzmann's law. Written for graduate students and researchers with a background in basic statistical inference, the book includes a vast set of examples demonstrating models for applications and exercises embedded within the text as well as at the ends of chapters.
Multivariate Exponential Families: A Concise Guide to Statistical Inference
Multivariate Exponential Families: A Concise Guide to Statistical Inference - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multivariate Exponential Families: A Concise Guide to Statistical Inference write by Stefan Bedbur. This book was released on 2021-10-07. Multivariate Exponential Families: A Concise Guide to Statistical Inference available in PDF, EPUB and Kindle. 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
Exponential Families of Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exponential Families of Stochastic Processes write by Uwe Küchler. This book was released on 2006-05-09. Exponential Families of Stochastic Processes available in PDF, EPUB and Kindle. 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.
Graphical Models, Exponential Families, and Variational Inference
Graphical Models, Exponential Families, and Variational Inference - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graphical Models, Exponential Families, and Variational Inference write by Martin J. Wainwright. This book was released on 2008. Graphical Models, Exponential Families, and Variational Inference available in PDF, EPUB and Kindle. 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.
