Volume 4, Number 2 (November 2005) | JIRSS 2005, 4(2): 107-111 | Back to browse issues page

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Fakoor V, Azarnoosh H A. A Note on the Strong Law of Large Numbers. JIRSS. 2005; 4 (2) :107-111
URL: http://jirss.irstat.ir/article-1-130-en.html

Abstract:   (5198 Views)
Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative quadrant dependent (NQD) and identically distributed random variables. As a consequence of the main theorem (Theorem 2.1), we arrive at an improvement of Marcinkiewicz– Zygmund theorem for pairwise NQD random variables.
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Subject: 60: Probability theory and stochastic processes
Received: 2011/10/22 | Accepted: 2015/09/12

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