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Inequality for the Moment of a Function of a Random Variable
作者姓名:李柏年  胡舒合
摘    要:InequalityfortheMomentofaFunctionofaRandomVariable¥LiBainianHuShuhe(李柏年,胡舒合)(AnhuiInstituteofFinanceandTrade)(AnhuiUniversity...


Inequality for the Moment of a Function of a Random Variable
Li Bainian, Hu Shuhe.Inequality for the Moment of a Function of a Random Variable[J].Chinese Quarterly Journal of Mathematics,1995(1).
Authors:Li Bainian  Hu Shuhe
Institution:Li Bainian; Hu Shuhe(Anhui Institute of Finance and Trade) (Anhui University)
Abstract:Literature 1] obtained an upper bound inequality for the variance of a function of a standard normal random variable, using Hermite polynomials. In this paper we extend and improve the result of 1] and obtain an upper bound inequality for the rib absolute moment of a function of a random variable and an upper bound for the variance of a random variable function is also given.
Keywords:function of a random variable  variance  inequality of rth absolute moment
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