Abstract
SYNOPTIC ABSTRACTThe Generalized Lambda Distribution, GLD(λ1, λ2, λ3, λ4), is a four-parameter family that has been used for fitting distributions to a variety of data sets. This paper deals with the extension of the GLD to a system, designated by EGLD, that can be used for fitting distributions to data sets that are cited in the literature as actually occurring in practice. The EGLD can achieve all possible (mean, variance, skewness, kurtosis) vectors; the GLD could not do this. Previous computational methods for determining λ1, λ2, λ3, λ4 of the GLD have been improved and expanded and more refined tables are provided for finding λ1, λ2, λ3, λ4. New tables for EGLD fits that are beyond the capability of the GLD are also provided.This research paper was supported by NATO Research Grant No. CRG 931030.
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