A Two-Parameter Weighted Rama Distribution with Properties and Application

Authors : Tesfalem Eyob, Rama Shanker

Pages : 48-58

Doi:10.32323/ujma.421980

View : 15 | Download : 22

Publication Date : 2019-06-28

Article Type : Research

Abstract :In this paper, a two-parameter weighted Rama distribution which includes one parameter Rama distribution introduced by Shanker [1] has been proposed for modelling real lifetime data. Statistical properties of the distribution including shapes of a probability density function, moments and moment related measures, hazard rate function, mean residual life function, and stochastic orderings have been discussed. The estimation of its parameters has been discussed using the method of maximum likelihood. Application of the proposed distribution has been discussed.
Keywords : Rama distribution, Moments, Hazard rate function, Mean residual life function, Stochastic ordering, Maximum likelihood estimation, Goodness of fit, Stochastic ordering