Numerical solution to an integral equation for the kth moment function of a geometric process

In this paper, an integral equation for the kth moment function of a geometric process is derived as generalization lower-order moments process. We propose general solution to solve by using numerical method, namely trapezoidal integration rule. The reduced equations which will be given third and fourth functions compute skewness kurtosis To illustrate we assume gamma, Weibull lognormal distributions first interarrival time