Further results and applications on continuous random variables

Mohamed DOUBBI BOUNOUA; Zoubir DAHMANI; Zakaria BEKKOUCHE

doi:10.26637/MJM0703/0011

Abstract

New results and new applications of fractional calculus for continuous random variables are presented. New expectation and variance identities of order α ≥1 are established. Under a new fractional normalisation technique, other weighted random variable inequalities are generated and some classical results are deduced as special cases.

Keywords:

Integral inequalities, Riemann-Liouville integral, random variable, fractional expectation, fractional variance, fractional moment

Mathematics Subject Classification:

Mathematics

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Mohamed DOUBBI BOUNOUA Department of Mathematics, Shanghai China, China.
Zoubir DAHMANI Laboratory LPAM, UMAB University, Algeria.
Zakaria BEKKOUCHE School of Mathematics and Statistics, Central China Normal University, China.

Pages: 429-435
Date Published: 01-07-2019
Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

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