Multivariate Exponential Families: A Concise Guide to Statistical Inference (SpringerBriefs in Statistics) - Softcover

Bedbur, Stefan; Kamps, Udo

Softcover

ISBN 10: 3030818993 ISBN 13: 9783030818999

Publisher: Springer, 2021

Synopsis

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.

About this title

About the Author

Stefan Bedbur has a postdoctoral position at the Chair in Statistics, RWTH Aachen University, where he was awarded the honorary title RWTH Lecturer in 2020.

Udo Kamps holds the Chair in Statistics at the Institute of Statistics, RWTH Aachen University, and is an elected member of the International Statistical Institute since 2000.
Their main fields of work are Applied and Mathematical Statistics, Reliability Theory, and Models for Ordered Data.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2021
• Language: English
• ISBN 10: 3030818993
• ISBN 13: 9783030818999
• Binding: Paperback
• Edition number: 1
• Number of pages: 152