Complete Convergence for Maximal Sums of Negatively Associated Random Variables | Zendy

V. M. Kruglov | Zendy

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Complete Convergence for Maximal Sums of Negatively Associated Random Variables

Author(s) -

V. M. Kruglov

Publication year - 2010

Publication title -

journal of probability and statistics

Language(s) - English

Resource type - Journals

eISSN - 1687-9538

pISSN - 1687-952X

DOI - 10.1155/2010/764043

Subject(s) - independent and identically distributed random variables , mathematics , random variable , mathematical proof , convergence (economics) , convergence of random variables , sum of normally distributed random variables , bounded function , algebra of random variables , proofs of convergence of random variables , discrete mathematics , statistics , mathematical analysis , geometry , economics , economic growth

Necessary and sufficient conditions are given for the complete convergence of maximal sums of identically distributed negatively associated random variables. The conditions are expressed in terms of integrability of random variables. Proofs are based on new maximal inequalities for sums of bounded negatively associated random variables

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