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In this paper, a new method based on probability generating functions is used to obtain multiple Stein operators for various random variables closely related to Poisson, binomial and negative binomial ...

The binomial distribution is an important discrete distribution. It gives the probability of the number of "successes," in a sequence of n independent binary trials. This applet allows users to drag ...

An approximation for negative binomial sums involving a minimum of arithmetic is presented. Because of the relationship between negative binomial sums and regular binomial sums the approximation can ...

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A heuristic algorithm that accurately and quickly approximates loss distributions for portfolios of independent credits is introduced in this paper. An algorithm such as this can be used in the ...

Abstract: We develop a general method for computing logarithmic and log-gamma expectations of distributions. As a result, we derive series expansions and integral representations of the entropy for ...

The normal distribution is a continuous probability distribution that is symmetrical, bell-shaped, and centred around its mean. It is one of the most important distributions in statistics because many ...