Discrete approximations to continuous univariate distributions—an alternative to simulation

A. Luceño

Journal of the Royal Statistical Society Series B, 1999, vol. 61, issue 2, 345-352

Abstract: A method to replace a continuous univariate distribution with a discrete distribution that takes MN different values is analysed. Both distributions share the same rth moments for r=0, . . ., 2N−1 and their corresonding distribution functions coincide at least at M+1 points. Several statistical and engineering examples are considered in which the discrete approximation may be used to avoid a simulation study that would be much more demanding computationally.

Date: 1999
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