New Solution and Its Impact on Increasing, Decreasing and Bathtub Shaped Failure Rate Model

Abstract

The maximum likelihood equations of IDB distribution can't be solved analytically. Solutions of the MLE equations can be obtained numerically. But the problem is to detect the initial value of the parameters to solve the nonlinear MLE equations. A technique is developed for formulating the initial value of the parameter to solve the MLE equations of IDB distribution. Considering all the facts, though IDB distribution is not suitable for graduating mortality data but the model can graduate mortality data of Bangladesh in the age range of 0-8 very well.