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On the Law of Large Numbers for Weakly Dependent Random Variables
Authors:Sunklodas  J.
Affiliation:(1) Institute of Mathematics and Informatics, Akademijos 4, LT-08663 Vilnius, Vilnius Gediminas Technical University, Saul"edot"tekio 11, LT-10223 Vilnius, Lithuania
Abstract:In this paper, we present the Hsu–Robbins and Spitzer law of large numbers for m-dependent and phiv-mixing random variables. In the main theorems, we do not assume that the random variables are identically distributed.
Keywords:Hsu–  Robbins law of large numbers  Spitzer law of large numbers  m-dependent random variables    /content/rv2k44235596587v/xxlarge981.gif"   alt="  phiv"   align="  MIDDLE"   BORDER="  0"  >-mixing random variables
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