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Chaos expansion and asymptotic behavior of the Pareto distribution

Article ID Journal Published Year Pages File Type
1152629 Statistics & Probability Letters 2014 7 Pages PDF
Abstract

We give the chaos expansion of a random variable with Pareto distribution and we analyze, by using the Malliavin calculus, the convergence in the distribution of a sequence of random variable with Pareto distribution toward the standard exponential law.

Keywords
60F0560H05Pareto distributionMalliavin calculusConvergence in law
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
Chaos expansion and asymptotic behavior of the Pareto distribution
Authors
Ciprian A. Tudor,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
Related Categories
60F05
60H05
Pareto distribution
Malliavin calculus
Convergence in law
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