Empirical Bayes Approach to Estimation of the Failure Rate in Exponential Distribution

碩士 === 國立中興大學 === 應用數學系 === 89 === In the empirical Bayes (EB) decision problem consisting of squared error estimation of the failure rate in exponential distribution, a prior Λ is place on the gamma family of prior distributions to produce Bayes EB estimators which are admissible. A sub...

Full description

Bibliographic Details
Main Authors: Howard Wu, 鄔正豪
Other Authors: 黎自奮
Format: Others
Language:zh-TW
Published: 2001
Online Access:http://ndltd.ncl.edu.tw/handle/61295299796109908016
id ndltd-TW-089NCHU0507013
record_format oai_dc
spelling ndltd-TW-089NCHU05070132016-07-06T04:11:05Z http://ndltd.ncl.edu.tw/handle/61295299796109908016 Empirical Bayes Approach to Estimation of the Failure Rate in Exponential Distribution 用經驗貝氏方法估計指數分配的失敗率 Howard Wu 鄔正豪 碩士 國立中興大學 應用數學系 89 In the empirical Bayes (EB) decision problem consisting of squared error estimation of the failure rate in exponential distribution, a prior Λ is place on the gamma family of prior distributions to produce Bayes EB estimators which are admissible. A subclass of such estimators is shown to be asymptotically optimal (a.o.). The results of a Monte Carlo study are presented to demonstrate the a.o. property of the Bayes EB estimators. 黎自奮 2001 學位論文 ; thesis 0 zh-TW
collection NDLTD
language zh-TW
format Others
sources NDLTD
description 碩士 === 國立中興大學 === 應用數學系 === 89 === In the empirical Bayes (EB) decision problem consisting of squared error estimation of the failure rate in exponential distribution, a prior Λ is place on the gamma family of prior distributions to produce Bayes EB estimators which are admissible. A subclass of such estimators is shown to be asymptotically optimal (a.o.). The results of a Monte Carlo study are presented to demonstrate the a.o. property of the Bayes EB estimators.
author2 黎自奮
author_facet 黎自奮
Howard Wu
鄔正豪
author Howard Wu
鄔正豪
spellingShingle Howard Wu
鄔正豪
Empirical Bayes Approach to Estimation of the Failure Rate in Exponential Distribution
author_sort Howard Wu
title Empirical Bayes Approach to Estimation of the Failure Rate in Exponential Distribution
title_short Empirical Bayes Approach to Estimation of the Failure Rate in Exponential Distribution
title_full Empirical Bayes Approach to Estimation of the Failure Rate in Exponential Distribution
title_fullStr Empirical Bayes Approach to Estimation of the Failure Rate in Exponential Distribution
title_full_unstemmed Empirical Bayes Approach to Estimation of the Failure Rate in Exponential Distribution
title_sort empirical bayes approach to estimation of the failure rate in exponential distribution
publishDate 2001
url http://ndltd.ncl.edu.tw/handle/61295299796109908016
work_keys_str_mv AT howardwu empiricalbayesapproachtoestimationofthefailurerateinexponentialdistribution
AT wūzhèngháo empiricalbayesapproachtoestimationofthefailurerateinexponentialdistribution
AT howardwu yòngjīngyànbèishìfāngfǎgūjìzhǐshùfēnpèideshībàilǜ
AT wūzhèngháo yòngjīngyànbèishìfāngfǎgūjìzhǐshùfēnpèideshībàilǜ
_version_ 1718339044876746752