Probability generating functions are often employed for their succinct description of the sequence of probabilities $\Pr (X = i)$ in the probability mass function for a random variable X, and to make ...

Probability generating functions are often employed for their succinct description of the sequence of probabilities $\Pr (X = i)$ in the probability mass function for a random variable X, and to make ...

Probability Generating Functions and their Iterates, Proceedings of the National Academy of Sciences of the United States of America, Vol. 56, No. 6 (Dec. 15, 1966), pp. 1912-1916 ...

PROBABILITY GENERATING FUNCTIONS AND THEIR ITERATES*Metrics Note: The article usage is presented with a three- to four-day delay and will update daily once available. Due to ths delay, usage data will ...

Generalized method of moments based on probability generating function is considered. Estimation and model testing are unified using this approach which also leads to distribution free chi-square ...

Any ARUM can be characterized by a choice-probability generating function (CPGF) whose gradient gives the choice probabilities, and every CPGF is consistent with an ARUM. We relate CPGF to ...

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 ...

This investigation was supported (in part) by the U.S. Public Health Service, National Institutes of Health, grant GM-10525. Note: The article usage is presented with a three- to four-day delay and ...

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 generating function, mean and variance of the service time distribution of an M/Gc/1 queuing model ...