COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES

Kwang-Hee Han

doi:10.5831/hmj.2015.37.3.325

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COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES

Kwang-Hee Han

Year: 2015 Journal: Honam Mathematical Journal Vol: 37 (3)Pages: 325-334

DOI: 10.5831/hmj.2015.37.3.325

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Abstract

In this paper we obtain complete convergences for weighted sums of negatively superadditive dependent random variables. These results generalize the corresponding ones for negatively associated random variables.

Keywords:

Superadditivity Mathematics Random variable Convergence (economics) Convergence of random variables Combinatorics Statistics Mathematical economics

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Probability and Risk Models

Social Sciences → Decision Sciences → Management Science and Operations Research

Random Matrices and Applications

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Advanced Harmonic Analysis Research

Physical Sciences → Mathematics → Applied Mathematics

COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES

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