Polynomial-Exponential Distribution
DOI:
https://doi.org/10.17762/msea.v71i4.807Abstract
The proposed distribution is a continuous probability distribution which has only one parameter and gives better results than Modified Mishra distribution of Sah for statistical modeling of over-dispersed survival life time data of similar nature. The required characteristics of this distribution have been defined and derived. The estimation of parameters has been discussed. We have defined and properly described the Hazard rate function, the mean residual life function and reliability function of this distribution. In order to check reliability and facts of this distribution, we use goodness of fit on some survival life time data which were previously used by other researchers, what we found is that this distribution gives better goodness of fit to the over-dispersed data-sets than Lindley distribution (LD), Mishra distribution (MD), Quadratic-Exponential distribution (QED) and Modified Mishra distribution (MMD).