Power Length-Biased Suja Distribution: Properties and Application

Abstract

In this paper, a new distribution called weighted size biased two-parameterAkash distribution (WSBTPAD) is proposed. The WSBTPAD is a newmodication of the size biased two-parameter Akash distribution. The mainstatistical properties of the WSBTPAD are derived and proved. These prop-erties include the moments, particularly the rth moment, moment generatingfunction, harmonic mean, Bonferroni and Lorenz curves as well as the Giniindex. Also, the mean deviations of the population mean and median andthe Renyi entropy are presented. The reliability analysis of the random vari-able following WSBTPAD random variable are discussed. The method ofmaximum likelihood estimation is considered for estimating the parametersof the distribution. The distribution of order statistics from the WSBTPADare provided.