A Conformable Fractional Approach to the Inverse Rayleigh Distribution

Abstract

The conformable fractional Inverse Rayleigh distribution is examined in this study. The conformable cumulative distribution function and the hazard rate function are among the primary functions derived for this novel distribution. We also obtain a precise equation for the new distribution's mean, variance, and ð‘Ÿ^{ð‘¡â„Ž} moment. Additionally, the quantile function and mode associated with this distribution are derived. Tsallis entropy and Shannon entropy are two examples of entropy metrics that are derived. Additionally, the density of the b^{ð‘¡â„Ž} order statistic for the new distribution is calculated, and we present the order statistics of a fractional random variable.