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Which Urbanik class $L_k$, do the hyperbolic and the generalized logistic characteristic functions belong to? by Jurek, Zbigniew J. is a scholarly article available to read on EtoBox.

What is Which Urbanik class $L_k$, do the hyperbolic and the generalized logistic characteristic functions belong to? about?

Selfdecomposable variables obtained from series of Laplace (double exponential) variables are objects of this study. We proved that hyperbolic-sine and hyperbolic-cosine variables are in the difference of the Urbanik classes $L_2$ and $L_3$ while generalized logistic variable is at least in the Urbanik class $L_1$. Hence some ratios of those corresponding selfdecomposable characteristic functions are again selfdecomposable.

Author

Jurek, Zbigniew J.

Published

2022

Language

EN