Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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A SUBCLASSIFICATION OF UNIMODAL DISTRIBUTIONS

NGUYEN VAN THU

pp. 237-249

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.