A Characterization of Symmetric Stable Distributions

作者:Ejsmont Wiktor*
来源:Journal of Function Spaces, 2016, 2016: 8384767.
DOI:10.1155/2016/8384767

摘要

Characterization problems in probability are studied here. Using the characteristic function of an additive convolution we generalize some known characterizations of the normal distribution to stable distributions. More precisely, if a distribution of a linear form depends only on the sum of powers of the certain parameters, then we obtain symmetric stable distributions.

  • 出版日期2016

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