Discover the power of Generalized Method of Moments (GMM) based on probability generating function. Unify estimation and model testing, while enjoying distribution-free chi-square tests. Overcome ...

In the present paper, we have successfully investigated the probability generating functions for two different cases of slower and faster arrival rates of an interdependent queueing model with ...

A numerical method is presented for calculating the cumulative distribution of a positive random variable from its moment-generating function. It involves an expansion of the rectangular function in ...

Probability density function is a statistical expression defining the likelihood of a series of outcomes for a continuous variable, such as a stock or ETF return.

Probability generating function, mean and variance of the service time distribution of an M/Gc/1 queuing model Abstract: The advent of multimedia applications over wireless networks has necessitated ...

We used the probability generating function method to obtain the steady-state solutions of the chemical master equation without specifying the parameters. We obtained the time evolution equations of ...

Numerical inversion of a Probability-generating function of a discrete random variable according to Davies, Robert B. "Numerical inversion of a characteristic function." Biometrika 60.2 (1973): ...