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Communications in Statistics - Theory and Methods Volume 48, 2019 - Issue 21
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Original Articles

A version of the Kolmogrov–Feller weak law of large numbers for maximal weighted sums of random variables

H. NaderiDepartment of Statistics, University of Sistan and Baluchestan, Zahedan, Iran; Correspondence[email protected]
,
P. MatułaInstitute of Mathematics, Marie Curie-Skłodowska University, pl. M.C.-Skłodowskiej 1, 20-031Lublin, Poland;
,
M. AminiDepartment of Statistics, Faculty of Mathematical Sciences, Ferdowsi University, Mashhad, Iran
&
H. AhmadzadeDepartment of Statistics, University of Sistan and Baluchestan, Zahedan, Iran;
Pages 5414-5418 | Received 06 Mar 2018, Accepted 14 Aug 2018, Published online: 08 Oct 2018
 
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Abstract

In this paper we establish Kolmogrov–Feller weak law of large numbers for maximal weighted sums of i.i.d. random variables.

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