On Feller's criterion for the law of the iterated logarithm

Combining Feller's criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and...

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Main Authors:	Deli Li, M. Bhaskara Rao, Xiangchen Wang
Format:	Article
Language:	English
Published:	Hindawi Limited 1994-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	central limit theorem Feller's criterion law of the iterated logarithm non-uniform estimates in the central limit theorem.
Online Access:	http://dx.doi.org/10.1155/S0161171294000463

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spelling	doaj-49dc900e2ca24896b0754f6db9e7e6a12020-11-24T23:49:17ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117232334010.1155/S0161171294000463On Feller's criterion for the law of the iterated logarithmDeli Li0M. Bhaskara Rao1Xiangchen Wang2Institute of Mathematics, Jilin University, Changchun 130023, ChinaDepartment of Statistics, North Dakota State University, Fargo, ND 58105, USADepartment of Mathematics, Jilin University, Changchun 130023, ChinaCombining Feller's criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and Egorov (1971). In addition, these results are compared with the corresponding results of Teicher (1974), Tomkins (1983) and Tomkins (1990)http://dx.doi.org/10.1155/S0161171294000463central limit theoremFeller's criterionlaw of the iterated logarithmnon-uniform estimates in the central limit theorem.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Deli Li M. Bhaskara Rao Xiangchen Wang
spellingShingle	Deli Li M. Bhaskara Rao Xiangchen Wang On Feller's criterion for the law of the iterated logarithm International Journal of Mathematics and Mathematical Sciences central limit theorem Feller's criterion law of the iterated logarithm non-uniform estimates in the central limit theorem.
author_facet	Deli Li M. Bhaskara Rao Xiangchen Wang
author_sort	Deli Li
title	On Feller's criterion for the law of the iterated logarithm
title_short	On Feller's criterion for the law of the iterated logarithm
title_full	On Feller's criterion for the law of the iterated logarithm
title_fullStr	On Feller's criterion for the law of the iterated logarithm
title_full_unstemmed	On Feller's criterion for the law of the iterated logarithm
title_sort	on feller's criterion for the law of the iterated logarithm
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1994-01-01
description	Combining Feller's criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and Egorov (1971). In addition, these results are compared with the corresponding results of Teicher (1974), Tomkins (1983) and Tomkins (1990)
topic	central limit theorem Feller's criterion law of the iterated logarithm non-uniform estimates in the central limit theorem.
url	http://dx.doi.org/10.1155/S0161171294000463
work_keys_str_mv	AT delili onfellerscriterionforthelawoftheiteratedlogarithm AT mbhaskararao onfellerscriterionforthelawoftheiteratedlogarithm AT xiangchenwang onfellerscriterionforthelawoftheiteratedlogarithm
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On Feller's criterion for the law of the iterated logarithm

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