Marcinkiewicz-type strong law of large numbers for double arrays of pairwise independent random variables

Let {Xij} be a double sequence of pairwise independent random variables. If P{|Xmn|≥t}≤P{|X|≥t} for all nonnegative real numbers t and E|X|p(log+|X|)3<∞, for 1<p<2, then we prove that ∑i=1m∑j=1n(Xij−EXij)(mn)1/p→0    a.s.   as  m∨n→∞.                                     (0.1) Under the weak conditio...

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Principais autores:	Dug Hun Hong, Seok Yoon Hwang
格式:	Artigo
语言:	Inglês
出版:	Wiley 1999-01-01
丛编:	International Journal of Mathematics and Mathematical Sciences
主题:	Strong law of large numbers pairwise independent.
在线阅读:	http://dx.doi.org/10.1155/S0161171299221710
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