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The inverse Gaussian distribution : a case study in exponential families

Author: V Seshadri
Publisher: Oxford : Clarendon Press ; New York : Oxford University Press, ©1993.
Series: Oxford science publications.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Beginning with a historical survey, the book provides a comprehensive overview of natural exponential families, with emphasis on the inverse Gaussian Law. Included are a range of properties,  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V Seshadri
ISBN: 0198522436 9780198522430
OCLC Number: 28890814
Description: vii, 256 pages : illustrations ; 24 cm.
Contents: E(X) for exponential family on R[superscript+] --
4. Combinations, extensions, and relatives. 4.1. A class of finite mixtures. 4.2. Multivariate distributions. 4.3. Combinations-models generated by IG/RIG laws. 4.4. Kolmogorov-Smirnov statistics and the inverse Gaussian law. 4.5. Miscellaneous results --
5. Inverse natural exponential families on R. 5.1. The class M and inversion in M. 5.2. Inverse pair of natural exponential families on R. 5.3. Convolutions of positive measures. 5.4. Mora-Morris classification of cubic exponential families. 5.5. Infinite divisibility. 5.6. The Tweedie scale. 5.7. Levy processes on the real line. 5.8. Right continuous random walks and inversion --
6. Statistical properties. 6.1. Estimation. 6.2. Tests of hypotheses. 6.3. Generalized linear models and the inverse Gaussian law. 6.4. Regression methods. 6.5. Bayesian inference. 6.6. Simulation of inverse Gaussian variates.
Series Title: Oxford science publications.
Responsibility: V. Seshadri.
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This book is an important addition to the literature on the inverse Gaussian distribution. * J.L. Folks, Oklahoma State University, International Statistical Institute, Vol. 14, No. 3 - December 1994 Read more...

 
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