Properties of conformable fractional chi-square probability distribution

Abstract

AbstractThe paper introduces conformable fractional analogs of some basic concepts related to probability distributions of random variables, namely density, cumulative distribution, survival and hazard functions. Moreover, it introduces conformable fractional analogs to expected values, rth moments, rth central moments, mean, variance, skewness and kurtosis. In addition, it introduces conformable fractional analogs to some entropy measures, namely, Shannon, Renyi and Tsallis entropy measures together with Awad sup- entropy counter parts of these three measures. All these concepts had been applied to the conformable fractional chi- square probability distribution.