Article ID Journal Published Year Pages File Type
7548444 Statistics & Probability Letters 2018 7 Pages PDF
Abstract
Expressions are given for the truncated fractional moments E(X−a)+p of a general stable law. These involve families of special functions that arose out of the study of multivariate stable densities and probabilities. This main result yields expressions for E(X−a)+ when the index of stability α>1, and expressions for fractional absolute and signed moments for any stable law.
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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