Estimating Log Pearson Parameters by Mixed Moments
Publication: Journal of Hydraulic Engineering
Volume 109, Issue 8
Abstract
When applying the method of moments, parameters of log Pearson type 3 distribution (LP) can be estimated either from the moments of real data or from the moments of the logarithmic data, or by mixing the moments of real and log data. Mixed moments methods eliminate the use of sample skewness coefficient which is generally biased. By a previous study, the mixed moments method (MXM1) which uses the mean and variance of real data and the mean of log data was found to possess superior statistical properties, but the estimating procedure was tedious. This paper describes simplified approaches by which LP parameters, through the MXM1 method, can be obtained even by ordinary pocket type calculators. Practical examples are presented to illustrate the application of eight LP fitting methods.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 109 • Issue 8 • August 1983
Pages: 1118 - 1132
Copyright
Copyright © 1983 ASCE.
History
Published online: Aug 1, 1983
Published in print: Aug 1983
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