Further Spitzer’s law for widely orthant dependent random variables

Abstract The Spitzer’s law is obtained for the maximum partial sums of widely orthant dependent random variables under more optimal moment conditions.

Bibliographic Details
Main Authors: Pingyan Chen, Jingjing Luo, Soo Hak Sung
Format: Article
Language:English
Published: SpringerOpen 2021-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-021-02718-4
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author Pingyan Chen
Jingjing Luo
Soo Hak Sung
author_facet Pingyan Chen
Jingjing Luo
Soo Hak Sung
author_sort Pingyan Chen
collection DOAJ
description Abstract The Spitzer’s law is obtained for the maximum partial sums of widely orthant dependent random variables under more optimal moment conditions.
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spelling doaj.art-d25ecf26a64745d9a0588c7e34d4cc492022-12-21T20:47:34ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-11-012021111210.1186/s13660-021-02718-4Further Spitzer’s law for widely orthant dependent random variablesPingyan Chen0Jingjing Luo1Soo Hak Sung2Department of Mathematics, Jinan UniversityDepartment of Mathematics, Jinan UniversityDepartment of Applied Mathematics, Pai Chai UniversityAbstract The Spitzer’s law is obtained for the maximum partial sums of widely orthant dependent random variables under more optimal moment conditions.https://doi.org/10.1186/s13660-021-02718-4Spitzer’s lawKolmogorov strong law of large numbersWidely orthant dependent random variables
spellingShingle Pingyan Chen
Jingjing Luo
Soo Hak Sung
Further Spitzer’s law for widely orthant dependent random variables
Journal of Inequalities and Applications
Spitzer’s law
Kolmogorov strong law of large numbers
Widely orthant dependent random variables
title Further Spitzer’s law for widely orthant dependent random variables
title_full Further Spitzer’s law for widely orthant dependent random variables
title_fullStr Further Spitzer’s law for widely orthant dependent random variables
title_full_unstemmed Further Spitzer’s law for widely orthant dependent random variables
title_short Further Spitzer’s law for widely orthant dependent random variables
title_sort further spitzer s law for widely orthant dependent random variables
topic Spitzer’s law
Kolmogorov strong law of large numbers
Widely orthant dependent random variables
url https://doi.org/10.1186/s13660-021-02718-4
work_keys_str_mv AT pingyanchen furtherspitzerslawforwidelyorthantdependentrandomvariables
AT jingjingluo furtherspitzerslawforwidelyorthantdependentrandomvariables
AT soohaksung furtherspitzerslawforwidelyorthantdependentrandomvariables