Abstract

SYNOPTIC ABSTRACTIn fitting statistical distributions to data the practitioner almost always needs to compute the parameters of a family of distributions. Such computations are frequently difficult to implement and may require considerable effort and computation time. This paper discusses the computing difficulties that can arise in fitting statistical distributions to data and illustrates these problems through examples that use the Weibull distribution, the generalized lambda distribution, and the Johnson system of distributions. In all cases fits are obtained by the method of moments using either the Maple computing environment or the R statistical system.

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