Akshaya Distribution and Its Application

摘要

A new one parameter continuous distribution named “Akshaya distribution” for modeling lifetime data from biomedical science and engineering has been proposed. Its mathematical and statistical properties including its shape, moments, hazard rate function, mean residual life function, stochastic ordering, mean deviations, and Bonferroni and Lorenz curves, have been presented. The conditions under which Akshaya distribution is over-dispersed, equi-dispersed and under-dispersed are discussed along with some other one parameter lifetime distributions. The maximum likelihood estimation and the method of moments have been discussed for estimating the parameter of the proposed distribution. Finally, a numerical example of real lifetime data has been presented to test the goodness of fit of the proposed distribution and the fit has been compared with other one parameter lifetime distributions.