The Inverse Gaussian Distribution: A Case Study in Exponential Families (Oxford Science Publications) by V. Seshadri

The Inverse Gaussian Distribution: A Case Study in Exponential Families (Oxford Science Publications) Author: V. Seshadri
eBook Title: The Inverse Gaussian Distribution: A Case Study in Exponential Families (Oxford Science Publications)
ISBN10: 0198522436
ISBN13: 978-0198522430
Language: English
Publisher: Clarendon Press; 1 edition (March 31, 1994)
Category: Science & Math
Subcategory: Mathematics
Size ePub vers.: 1855 kb
Size PDF vers.: 1643 kb
Other formats: cb7, odf, pdf, azw, ibooks, mobi
Rating: 3.8
Votes: 398
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This book provides a comprehensive and penetrating account of the inverse Gaussian law. Beginning with an exhaustive historical overview that presents--for the first time--Etienne Halphen's pioneering wartime contributions, the book proceeds to a rigorous exposition of the theory of exponential families, focusing in particular on the inverse Gaussian law. The book also considers inverse natural exponential families and provides a detailed analysis of the "Tweedie" scale. A wealth of properties, characterization, new concepts of inverse exponential families, useful expositions of statistical results, and an updated list of about 400 key references are included as well. The book will be welcomed by students and researchers of statistics and probability.

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