On the strong law of large numbers for identically distributed random variables irrespective of their joint distributions

Andrew Rosalsky and George Stoica

Statistics & Probability Letters, 2010, vol. 80, issue 17-18, 1265-1270

Abstract: For a sequence of identically distributed random variables {Xn,n>=1} with partial sums and a sequence of positive constants {bn,n>=1} with bn[NE pointing arrow][infinity], conditions are provided under which the strong law of large numbers Sn/bn-->0 almost surely holds irrespective of the joint distributions of the {Xn,n>=1}. It is not assumed that EX1

Keywords: Strong; law; of; large; numbers; Sequence; of; identically; distributed; random; variables; Almost; sure; convergence; Irrespective; of; the; joint; distributions (search for similar items in EconPapers)
Date: 2010
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