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Acta Mathematica Vietnamica

A SUBCLASSIFICATION OF UNIMODAL DISTRIBUTIONS

icon-email NGUYEN VAN THU

Abstract

We introduce and study classes $\mathcal P_{\alpha}$,  $\alpha > 0$, of $\alpha$-times unimodal distributions. Various characterizations of these distributions are obtained and relations between them and fractional calculus are established.