Research Article
Mar 1981
Three-Parameter Probability Distributions
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 107, Issue 3
Abstract
The lognormal, Weibull, Pearson type 3, and log Pearson type 3, each a three-parameter distribution, were evaluated in a generalized fashion in terms of the dimensionless variate K (K=X/υx, in which X equals randon variable, and υn equals its mean) which has a population mean of unity. The bounds of the distributions, areas of the portions of distributions in the negative region of variate when they enter such regions, and the differences in some important quantiles among the four distributions, are presented. The four distributions become less applicable for hydrologic frequency analysis as they deviate more and more from their two-parameter counterparts (lognormal in the case of log Pearson). When they have well-applicable properties, their quantile values differ little for some or all distributions indicating that choice of a distribution makes little difference. Some guidelines are provided for selecting the best applicable distribution for a given hydrologic sample.
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Published In
Journal of the Hydraulics Division
Volume 107 • Issue 3 • March 1981
Pages: 339 - 358
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© 1981 American Society of Civil Engineers.
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Published in print: Mar 1981
Published online: Feb 3, 2021
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Authors
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Donthamsetti Veerabhadra Rao, M.ASCE
Hydro., St. John's River Water Management Dist., P.O. Box 1429, Palatka, Fla. 32077
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.