Articoli correlati a The Inverse Gaussian Distribution: A Case Study in...
This book begins with a historical survey of `generalized inverse Gaussian laws', in which the wartime contribution of Etienne Halphen is presented for the first time.
The inverse Gaussian distribution, its properties, and its implications are set in a wide perspective. The concepts of inversion and inverse natural exponential functions are presented, together with an analysis of the `Tweedie' scale, of which the Gaussian distribution is an important special case.
Chapter 2 concerns the basic theory of exponential functions, focusing on the inverse Gaussian Law. Chapter 3 is devoted to various characterization results, while Chapter 4 is concerned with the construction of multivariate distributions, and the relationship to simplex distributions, combinations, and finite mixtures. Chapter 5 introduces the concept of inverse natural exponential functions and Chapter 6 presents useful statistical results.
Up-to-date research is presented in the form of exercises, a special chapter on characterizations is included, and a summary of statistical issues concerning estimation and interference are provided. Research workers will find inspiration for further investigations.
The inverse Gaussian distribution, its properties, and its implications are set in a wide perspective. The concepts of inversion and inverse natural exponential functions are presented, together with an analysis of the `Tweedie' scale, of which the Gaussian distribution is an important special case.
Chapter 2 concerns the basic theory of exponential functions, focusing on the inverse Gaussian Law. Chapter 3 is devoted to various characterization results, while Chapter 4 is concerned with the construction of multivariate distributions, and the relationship to simplex distributions, combinations, and finite mixtures. Chapter 5 introduces the concept of inverse natural exponential functions and Chapter 6 presents useful statistical results.
Up-to-date research is presented in the form of exercises, a special chapter on characterizations is included, and a summary of statistical issues concerning estimation and interference are provided. Research workers will find inspiration for further investigations.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione:
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)
Contenuti:
- 1.: A historical survey
- 2.: Properties of the inverse Gaussian distribution
- 3.: Characterizations
- 4.: Combinations
- 5.: Inverse natural exponential families on R
- 6.: Statistical properties
- References
- Author index
- Subject index
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreClarendon Press
- Data di pubblicazione1994
- ISBN 10 0198522436
- ISBN 13 9780198522430
- RilegaturaCopertina rigida
- Numero di pagine268
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The Inverse Gaussian Distribution A Case Study in Exponential Families Oxford Science Publications
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The Inverse Gaussian Distribution A Case Study in Exponential Families Oxford Science Publications
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ISBN 10: 0198522436
ISBN 13: 9780198522430
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Descrizione libro HRD. Condizione: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice articolo L1-9780198522430
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The Inverse Gaussian Distribution: A Case Study in Exponential Families (Oxford Science Publications)
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(1994)
ISBN 10: 0198522436
ISBN 13: 9780198522430
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The Inverse Gaussian Distribution (Hardcover)
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Oxford University Press, Oxford
(1994)
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ISBN 13: 9780198522430
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Descrizione libro Hardcover. Condizione: new. Hardcover. This book begins with a historical survey of `generalized inverse Gaussian laws', in which the wartime contribution of Etienne Halphen is presented for the first time. The inverse Gaussian distribution, its properties, and its implications are set in a wide perspective. The concepts of inversion and inverse natural exponential functions are presented, together with an analysis of the `Tweedie' scale, of which the Gaussian distribution is animportant special case. Chapter 2 concerns the basic theory of exponential functions, focusing on the inverse Gaussian Law. Chapter 3 is devoted to various characterizationresults, while Chapter 4 is concerned with the construction of multivariate distributions, and the relationship to simplex distributions, combinations, and finite mixtures. Chapter 5 introduces the concept of inverse natural exponential functions and Chapter 6 presents useful statistical results. Up-to-date research is presented in the form of exercises, a special chapter on characterizations is included, and a summary of statistical issues concerning estimation andinterference are provided. Research workers will find inspiration for further investigations. 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, characterizations, new concepts of inverse exponential families, useful expositions of statistical results, and an updated list of approximately 400 references. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780198522430
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