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Multivariate exponential familiesa c...

Bedbur, Stefan.

Multivariate exponential familiesa concise guide to statistical inference /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Multivariate exponential familiesby Stefan Bedbur, Udo Kamps.
Reminder of title:	a concise guide to statistical inference /
Author:	Bedbur, Stefan.
other author:	Kamps, Udo.
Published:	Cham :Springer International Publishing :2021.
Description:	x, 142 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Exponential families (Statistics)
Online resource:	https://doi.org/10.1007/978-3-030-81900-2
ISBN:	9783030819002$q(electronic bk.)

Multivariate exponential familiesa concise guide to statistical inference /
Bedbur, Stefan.

Multivariate exponential familiesa concise guide to statistical inference /[electronic resource] :by Stefan Bedbur, Udo Kamps. - Cham :Springer International Publishing :2021. - x, 142 p. :ill., digital ;24 cm. - SpringerBriefs in statistics,2191-5458. - SpringerBriefs in statistics..

Introduction -- Parametrizations and Basic Properties -- Distributional and Statistical Properties -- Parameter Estimation -- Hypotheses Testing -- Exemplary Multivariate Applications.

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.

ISBN: 9783030819002$q(electronic bk.)

Standard No.: 10.1007/978-3-030-81900-2doiSubjects--Topical Terms:

186319
Exponential families (Statistics)

LC Class. No.: QA276.7 / .B43 2021

Dewey Class. No.: 519.5

Multivariate exponential familiesa concise guide to statistical inference /
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505 0 $a Introduction -- Parametrizations and Basic Properties -- Distributional and Statistical Properties -- Parameter Estimation -- Hypotheses Testing -- Exemplary Multivariate Applications.
520 $a 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.
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