Further results and applications on continuous random variables
Authors :
Mohamed DOUBBI BOUNOUA 1 , Zoubir DAHMANI 2 * and Zakaria BEKKOUCHE 3
Author Address :
1 Department of Mathematics, Shanghai China, China.
2 Laboratory LPAM, UMAB University, Algeria.
3 School of Mathematics and Statistics, Central China Normal University, China.
*Corresponding author.
Abstract :
New results and new applications of fractional calculus for continuous random variables are presented. New expectation and variance identities of order $alpha geq 1$ 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.
DOI :
Article Info :
Received : March 24, 2019; Accepted : May 09, 2019.
