Weak and Almost Sure Convergence for Products of Sums of Associated Random Variables | Zendy

Przemysław Matuła | Zendy; Iwona Stępień | Zendy

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Weak and Almost Sure Convergence for Products of Sums of Associated Random Variables

Author(s) -

Przemysław Matuła,

Iwona Stępień

Publication year - 2012

Publication title -

isrn probability and statistics

Language(s) - English

Resource type - Journals

eISSN - 2090-472X

pISSN - 2090-4711

DOI - 10.5402/2012/107096

Subject(s) - mathematics , random variable , convergence of random variables , convergence (economics) , law of large numbers , product (mathematics) , exchangeable random variables , proofs of convergence of random variables , sum of normally distributed random variables , algebra of random variables , weak convergence , discrete mathematics , combinatorics , statistics , computer science , economics , geometry , computer security , asset (computer security) , economic growth

We study weak convergence of product of sums of stationary sequences of associated random variables to the log-normal law. The almost sure version of this result is also presented. The obtained theorems extend and generalize some of the results known so far for independent or associated random variables.

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