LH-Moments of Some Distributions Useful in Hydrology

- Journal title : Communications for Statistical Applications and Methods
- Volume 16, Issue 4, 2009, pp.647-658
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2009.16.4.647

Title & Authors

LH-Moments of Some Distributions Useful in Hydrology

Murshed, Md. Sharwar; Park, Byung-Jun; Jeong, Bo-Yoon; Park, Jeong-Soo;

Murshed, Md. Sharwar; Park, Byung-Jun; Jeong, Bo-Yoon; Park, Jeong-Soo;

Abstract

It is already known from the previous study that flood seems to have heavier tail. Therefore, to make prediction of future extreme label, some agreement of tail behavior of extreme data is highly required. The LH-moments estimation method, the generalized form of L-moments is an useful method of characterizing the upper part of the distribution. LH-moments are based on linear combination of higher order statistics. In this study, we have formulated LH-moments of five distributions useful in hydrology such as, two types of three parameter kappa distributions, beta- distribution, beta-p distribution and a generalized Gumbel distribution. Using LH-moments reduces the undue influences that small sample may have on the estimation of large return period events.

Keywords

Beta- distribution;beta-p distribution;generalized Gumbel distribution;L-moment;probability weighted moment;three parameter kappa distribution;

Language

English

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