Article ID Journal Published Year Pages File Type
5129703 Statistics & Probability Letters 2017 11 Pages PDF
Abstract

If the distribution of X belongs to a Cauchy-Stieltjes Kernel (CSK) family concentrated on the positive real line, we determine the expectation of the reciprocal of X as a function of the expectation m of X. This function characterizes the CSK family. Some examples and characterizations of quadratic and cubic CSK families are given.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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