Fractional Order Deformable Statistical Measures Skewness And Kurtosis

Abstract

Memory effects can be easily understood with the help of fractional derivatives [1]. In this paper with the help of Deformable fractional derivative we try to understand the role of deformability on skewness and kurtosis using moment generating function [1]. First, we develop a formula for deformable skewness and kurtosis with the help of deformable fractional derivative using moment generating function. Secondly, we establish a relationship among ordinary skewness, kurtosis to deformable skewness and kurtosis. Lastly, with help of example and a table can see the variation in the statistical measure and draw the conclusions.