Prior Processes and Their Applications

Nonparametric Bayesian Estimation

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Prior Processes and Their Applications by Eswar G. Phadia, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Eswar G. Phadia ISBN: 9783642392801
Publisher: Springer Berlin Heidelberg Publication: July 25, 2013
Imprint: Springer Language: English
Author: Eswar G. Phadia
ISBN: 9783642392801
Publisher: Springer Berlin Heidelberg
Publication: July 25, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Berlin Heidelberg

Cover of the book Brain and Behavior in Child Psychiatry by Eswar G. Phadia
Cover of the book Advances in Medical and Surgical Cornea by Eswar G. Phadia
Cover of the book Mathematics of Discrete Structures for Computer Science by Eswar G. Phadia
Cover of the book The Aral Sea Environment by Eswar G. Phadia
Cover of the book Regenerative Properties of Central Monoamine Neurons by Eswar G. Phadia
Cover of the book Compulsory Licensing by Eswar G. Phadia
Cover of the book Ores in Sediments by Eswar G. Phadia
Cover of the book Many-Body Approach to Electronic Excitations by Eswar G. Phadia
Cover of the book Advanced Steels by Eswar G. Phadia
Cover of the book Die Enteignung by Eswar G. Phadia
Cover of the book Digital lernen - evidenzbasiert pflegen by Eswar G. Phadia
Cover of the book Maschinendynamik by Eswar G. Phadia
Cover of the book Forensic Medicine by Eswar G. Phadia
Cover of the book Handbuch Föderalismus - Föderalismus als demokratische Rechtsordnung und Rechtskultur in Deutschland, Europa und der Welt by Eswar G. Phadia
Cover of the book Schizophrenia and Youth by Eswar G. Phadia
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy