LEADER 03042nam 2200565 a 450 001 9910437867703321 005 20200520144314.0 010 $a3-642-39280-6 024 7 $a10.1007/978-3-642-39280-1 035 $a(CKB)2670000000533804 035 $a(EBL)1398826 035 $a(OCoLC)858764240 035 $a(SSID)ssj0000963066 035 $a(PQKBManifestationID)11544103 035 $a(PQKBTitleCode)TC0000963066 035 $a(PQKBWorkID)10975783 035 $a(PQKB)11639525 035 $a(DE-He213)978-3-642-39280-1 035 $a(MiAaPQ)EBC1398826 035 $a(PPN)172428009 035 $a(EXLCZ)992670000000533804 100 $a20130716d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPrior processes and their applications $enonparametric bayesian estimation /$fEswar G. Phadia 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (219 p.) 300 $aDescription based upon print version of record. 311 $a3-642-39279-2 311 $a3-642-42931-9 320 $aIncludes bibliographical references and indexes. 327 $aPrior Processes -- Inference Based on Complete Data -- Inference Based on Incomplete Data. 330 $aThis 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. 606 $aNonparametric statistics 606 $aBayesian statistical decision theory 615 0$aNonparametric statistics. 615 0$aBayesian statistical decision theory. 676 $a519.5 700 $aPhadia$b Eswar G$0756045 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437867703321 996 $aPrior processes and their applications$91523579 997 $aUNINA