Min Wang

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20242026

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math.PR2026

Infinite divisibility of $I^\pm$ -Cauchy distributions

Min Wang

In 2009, Yano, Yano and Yor proposed the question of studying the infinite divisibility of the $I^\pm$ -Cauchy variable $C_{I^} \pm$ for $I^\pm > 1$ . The particular case $\mathcal{C}_2…

math.PR2025

An example of a non-log-concave distribution where the difference has a log-concave density

Min Wang

By the PrÃ©kopa-Leindler inequality, the difference $X - X^{'}$ has a log-concave density provided that $X$ has a log-concave density and $X, X^{'}$ are independent and identically distrib…

math.PR2024

Moments of Gamma type and three-parametric Mittag-Leffler function

Min Wang

We study a class of positive random variables having moments of Gamma type, whose density can be expressed by the three-parametric Mittag-Leffler functions. We give some necessary…

Infinite divisibility of I^±-Cauchy distributions

An example of a non-log-concave distribution where the difference has a log-concave density

Moments of Gamma type and three-parametric Mittag-Leffler function

Infinite divisibility of $I^\pm$ -Cauchy distributions