a note on the strong law of large numbers for associated sequences

Clicks: 14
ID: 242049
2005
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Abstract
We prove that the sequence {bn−1∑i=1n(Xi−EXi)}n≥1 converges a.e. to zero if {Xn,n≥1} is anassociated sequence of random variables with ∑n=1∞bkn−2Var(∑i=kn−1+1knXi)<∞ where {bn,n≥1} is a positive nondecreasing sequence and {kn,n≥1} is a strictly increasing sequence, both tending to infinity as n tends to infinity and 0
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nezakati2005internationala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;A. Nezakati
Journal structural engineering and mechanics
Year 2005
DOI
10.1155/IJMMS.2005.3195
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