Distribution and moment characteristics of a quotient of heavy-tailed random variables

Let us deal with positive i.i.d. random variables X1, . . ., Xm having a tail index α. Calculating a quotient of two biggest members in the set, we obtain a new random variable and investigate its distribution and moment properties. The method itself was proposed by prof. V. Paulauskas and co-autho...

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Bibliographic Details
Main Author: Kęstutis Gadeikis
Format: Article
Language:English
Published: Vilnius University Press 2023-09-01
Series:Lietuvos Matematikos Rinkinys
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Online Access:https://www.zurnalai.vu.lt/LMR/article/view/30724
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Summary:Let us deal with positive i.i.d. random variables X1, . . ., Xm having a tail index α. Calculating a quotient of two biggest members in the set, we obtain a new random variable and investigate its distribution and moment properties. The method itself was proposed by prof. V. Paulauskas and co-authors in [1] and [2].
ISSN:0132-2818
2335-898X