Title: The Comparison between Continuos Random Variables and Power Function Distribution and Some Strong Limit Theorems of Geometric Average
Abstract: In this paper, the notion of likelihood ratio as the random measure of deviation between continuous random variables and multiplicative power function distribution is introduced, and by using the theory of martingale and the method of analysis , we get a new type strong law of large numbers, a.e. the strong limit theorem of the geometric average G n(ω) =JB(∏ni=1) 1/n for r.v.s' X n.
Publication Year: 2002
Publication Date: 2002-01-01
Language: en
Type: article
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