The Equilibrium Distribution of Counting Random Variables
نویسنده
چکیده
We study the high order equilibrium distributions of a counting random variable. Properties such as moments, the probability generating function, the stop—loss transform and the mean residual lifetime, are derived. Expressions are obtained for higher order equilibrium distribution functions under mixtures and convolutions of a counting distribution. Recursive formulas for higher order equilibrium distribution functions of the -family of distributions are given. , ,0 a b
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تاریخ انتشار 2011