On The Moment Problem

碩士 === 國立中山大學 === 應用數學系研究所 === 90 === Let F be a distribution function and {m1,m2,m3...} be its moments. The moment problem is to know whether the moments {m1,m2,m3...} determine the distribution function F. In general, the sequence of moments does not always determine the distribution function. So...

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Main Authors: Chia-Linn Wu, 吳佳玲
Other Authors: Jhishen Tsay
Format: Others
Language:en_US
Published: 2002
Online Access:http://ndltd.ncl.edu.tw/handle/09046422510540252397
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spelling ndltd-TW-090NSYS55070082015-10-13T10:29:31Z http://ndltd.ncl.edu.tw/handle/09046422510540252397 On The Moment Problem 矩問題之相關研究 Chia-Linn Wu 吳佳玲 碩士 國立中山大學 應用數學系研究所 90 Let F be a distribution function and {m1,m2,m3...} be its moments. The moment problem is to know whether the moments {m1,m2,m3...} determine the distribution function F. In general, the sequence of moments does not always determine the distribution function. So the conditions for a distribution function to be moment-determinate are investigated. We get a result concerning the discrete distribution function. Jhishen Tsay 蔡志賢 2002 學位論文 ; thesis 13 en_US
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language en_US
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description 碩士 === 國立中山大學 === 應用數學系研究所 === 90 === Let F be a distribution function and {m1,m2,m3...} be its moments. The moment problem is to know whether the moments {m1,m2,m3...} determine the distribution function F. In general, the sequence of moments does not always determine the distribution function. So the conditions for a distribution function to be moment-determinate are investigated. We get a result concerning the discrete distribution function.
author2 Jhishen Tsay
author_facet Jhishen Tsay
Chia-Linn Wu
吳佳玲
author Chia-Linn Wu
吳佳玲
spellingShingle Chia-Linn Wu
吳佳玲
On The Moment Problem
author_sort Chia-Linn Wu
title On The Moment Problem
title_short On The Moment Problem
title_full On The Moment Problem
title_fullStr On The Moment Problem
title_full_unstemmed On The Moment Problem
title_sort on the moment problem
publishDate 2002
url http://ndltd.ncl.edu.tw/handle/09046422510540252397
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