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Prior processes and their applications : nonparametric bayesian estimation / / Eswar G. Phadia



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Autore: Phadia Eswar G Visualizza persona
Titolo: Prior processes and their applications : nonparametric bayesian estimation / / Eswar G. Phadia Visualizza cluster
Pubblicazione: New York, : Springer, 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (219 p.)
Disciplina: 519.5
Soggetto topico: Nonparametric statistics
Bayesian statistical decision theory
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and indexes.
Nota di contenuto: Prior Processes -- Inference Based on Complete Data -- Inference Based on Incomplete Data.
Sommario/riassunto: This book presents a systematic and comprehensive treatment of various prior processes that have been developed over the last four decades in order to deal with the Bayesian approach to solving some nonparametric inference problems. Applications of these priors in various estimation problems are presented. Starting with the famous Dirichlet process and its variants, the first part describes processes neutral to the right, gamma and extended gamma, beta and beta-Stacy, tail free and Polya tree, one and two parameter Poisson-Dirichlet, the Chinese Restaurant and Indian Buffet processes, etc., and discusses their interconnection. In addition, several new processes that have appeared in the literature in recent years and which are off-shoots of the Dirichlet process are described briefly. The second part contains the Bayesian solutions to certain estimation problems pertaining to the distribution function and its functional based on complete data. Because of the conjugacy property of some of these processes, the resulting solutions are mostly in closed form. The third part treats similar problems but based on right censored data. Other applications are also included. A comprehensive list of references is provided in order to help readers explore further on their own.
Titolo autorizzato: Prior processes and their applications  Visualizza cluster
ISBN: 3-642-39280-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910437867703321
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