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In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random ...

The probability generating function approach plays a vital role in the study of queueing problems as it is crucially useful in performance analysis of a wide range of queueing models. As an example, ...

A probability density function (PDF) describes how likely it is to observe some outcome resulting from a data-generating process. A PDF can tell us which values are most likely to appear versus ...

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 ...

In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random ...