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Properties of certain symmetric stable distributions
Authors:Grady Miller
Institution:U.S. Army Materiel Systems Analysis Activity, Aberdeen Proving Ground, Maryland USA
Abstract:Necessary and sufficient conditions are presented for jointly symmetric stable random vectors to be independent and for a regression involving symmetric stable random variables to be linear. The notion of n-fold dependence is introduced for symmetric stable random variables, and under this condition we determine all monomials in such random variables for which moments exist.
Keywords:62H05  Multivariate symmetric stable distributions  characteristic functions  independence  linear regression  moments
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