03042nam 2200565 a 450 991043786770332120200520144314.03-642-39280-610.1007/978-3-642-39280-1(CKB)2670000000533804(EBL)1398826(OCoLC)858764240(SSID)ssj0000963066(PQKBManifestationID)11544103(PQKBTitleCode)TC0000963066(PQKBWorkID)10975783(PQKB)11639525(DE-He213)978-3-642-39280-1(MiAaPQ)EBC1398826(PPN)172428009(EXLCZ)99267000000053380420130716d2013 uy 0engur|n|---|||||txtccrPrior processes and their applications nonparametric bayesian estimation /Eswar G. Phadia1st ed. 2013.New York Springer20131 online resource (219 p.)Description based upon print version of record.3-642-39279-2 3-642-42931-9 Includes bibliographical references and indexes.Prior Processes -- Inference Based on Complete Data -- Inference Based on Incomplete Data.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.Nonparametric statisticsBayesian statistical decision theoryNonparametric statistics.Bayesian statistical decision theory.519.5Phadia Eswar G756045MiAaPQMiAaPQMiAaPQBOOK9910437867703321Prior processes and their applications1523579UNINA