Abstract

Abstract A method of approximating distribution functions is presented which is based on a weighted sum of exponential functions. The method is quite general but attention is confined here to approximating the distribution function of gamma and related variates. As a limiting case of X 2, the normal distribution is also considered. Tables of constants are provided for applying the approximation procedure. It can be carried out on a computer or on a desk-type calculator. Among the attractive features of the technique is the fact that the constants involved in the approximating function can be obtained by simple interpolation.

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