A Functional Equality with Application to Nonparametric Estimation

碩士 === 國立中正大學 === 統計科學所 === 95 === Traditional kernel estimation is applicable for obtaining nonparametric estimate of a probability density function when sample size is large. This work introduces a new equality which is applicable for improving kernel estimation to achieve improved mean square err...

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Main Authors:	TING CHI, 黃婷琪
Other Authors:	Cheng-Hsiung Kao
Format:	Others
Language:	en_US
Published:	2006
Online Access:	http://ndltd.ncl.edu.tw/handle/52844709702724051634

id	ndltd-TW-095CCU05337002
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spelling	ndltd-TW-095CCU053370022015-10-13T10:45:17Z http://ndltd.ncl.edu.tw/handle/52844709702724051634 A Functional Equality with Application to Nonparametric Estimation 無 TING CHI 黃婷琪碩士國立中正大學統計科學所 95 Traditional kernel estimation is applicable for obtaining nonparametric estimate of a probability density function when sample size is large. This work introduces a new equality which is applicable for improving kernel estimation to achieve improved mean square error when sample size is small. We use this new method to estimate density function, hazard rate function and regression function. The choice of bandwidth for the new kernel method on estimating the above functions is investigated, and empirical comparison is provided. Cheng-Hsiung Kao 高正雄 2006 學位論文 ; thesis 40 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立中正大學 === 統計科學所 === 95 === Traditional kernel estimation is applicable for obtaining nonparametric estimate of a probability density function when sample size is large. This work introduces a new equality which is applicable for improving kernel estimation to achieve improved mean square error when sample size is small. We use this new method to estimate density function, hazard rate function and regression function. The choice of bandwidth for the new kernel method on estimating the above functions is investigated, and empirical comparison is provided.
author2	Cheng-Hsiung Kao
author_facet	Cheng-Hsiung Kao TING CHI 黃婷琪
author	TING CHI 黃婷琪
spellingShingle	TING CHI 黃婷琪 A Functional Equality with Application to Nonparametric Estimation
author_sort	TING CHI
title	A Functional Equality with Application to Nonparametric Estimation
title_short	A Functional Equality with Application to Nonparametric Estimation
title_full	A Functional Equality with Application to Nonparametric Estimation
title_fullStr	A Functional Equality with Application to Nonparametric Estimation
title_full_unstemmed	A Functional Equality with Application to Nonparametric Estimation
title_sort	functional equality with application to nonparametric estimation
publishDate	2006
url	http://ndltd.ncl.edu.tw/handle/52844709702724051634
work_keys_str_mv	AT tingchi afunctionalequalitywithapplicationtononparametricestimation AT huángtíngqí afunctionalequalitywithapplicationtononparametricestimation AT tingchi wú AT huángtíngqí wú AT tingchi functionalequalitywithapplicationtononparametricestimation AT huángtíngqí functionalequalitywithapplicationtononparametricestimation
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A Functional Equality with Application to Nonparametric Estimation

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