On The Strong Law of Large Numbers for Arbitrary Random Variables

碩士 === 國立清華大學 === 數學系 === 87 === In this paper, some kind of strong laws of large numbers are given, which generalize the corresponding results in [1] and [4]. In our results, the independent condition for X_n is deleted. To get such results, we present an elementar...

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Main Authors: Tsun-Cheng Ting, 丁村成
Other Authors: Chang-Pao Chen
Format: Others
Language:en_US
Published: 1999
Online Access:http://ndltd.ncl.edu.tw/handle/45799675437453628810
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spelling ndltd-TW-087NTHU04790262015-10-13T11:46:55Z http://ndltd.ncl.edu.tw/handle/45799675437453628810 On The Strong Law of Large Numbers for Arbitrary Random Variables 任意隨機變數的強大數法則 Tsun-Cheng Ting 丁村成 碩士 國立清華大學 數學系 87 In this paper, some kind of strong laws of large numbers are given, which generalize the corresponding results in [1] and [4]. In our results, the independent condition for X_n is deleted. To get such results, we present an elementary proof. It doesw not use the Kolmogorov's three series theorem. Chang-Pao Chen 陳璋泡 1999 學位論文 ; thesis 17 en_US
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language en_US
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sources NDLTD
description 碩士 === 國立清華大學 === 數學系 === 87 === In this paper, some kind of strong laws of large numbers are given, which generalize the corresponding results in [1] and [4]. In our results, the independent condition for X_n is deleted. To get such results, we present an elementary proof. It doesw not use the Kolmogorov's three series theorem.
author2 Chang-Pao Chen
author_facet Chang-Pao Chen
Tsun-Cheng Ting
丁村成
author Tsun-Cheng Ting
丁村成
spellingShingle Tsun-Cheng Ting
丁村成
On The Strong Law of Large Numbers for Arbitrary Random Variables
author_sort Tsun-Cheng Ting
title On The Strong Law of Large Numbers for Arbitrary Random Variables
title_short On The Strong Law of Large Numbers for Arbitrary Random Variables
title_full On The Strong Law of Large Numbers for Arbitrary Random Variables
title_fullStr On The Strong Law of Large Numbers for Arbitrary Random Variables
title_full_unstemmed On The Strong Law of Large Numbers for Arbitrary Random Variables
title_sort on the strong law of large numbers for arbitrary random variables
publishDate 1999
url http://ndltd.ncl.edu.tw/handle/45799675437453628810
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