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TL-moments and L-moments estimation of the generalized logistic distribution

Ahmad, Ummi and Shabri, Ani and Zakaria, Zahrahtul Amani (2011) TL-moments and L-moments estimation of the generalized logistic distribution. Journal of Mathematics Research, 3 (1). pp. 97-106. ISSN 1916-9795

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Official URL: http://dx.doi.org/10.5539/jmr.v3n1p97

Abstract

The generalized logistic (GLO) distribution has been used widely in extreme value event evaluation and also popular in hydrological risk analysis. In estimating the high return period events, censoring the data from below might be advantageous since the small floods are less significant to large ones, so the used of small floods can sometimes be only a nuisance value. In this paper the method of trimmed L-moments with one smallest value were trimmed (TLMOM1) was introduced as an alternative ways in estimating the flood for higher return period. TLMOM1 has an ability to reduce undesirable influence of small sample might have compared to former TL-moments (TLMOM) and L-moments (LMOM) method. The main objective of this study is to derive the TLMOM1 for GLO distribution. The performance of TLMOM1 was compared with LMOM and TLMOM through Monte Carlo simulation and stream flows data over station in Terengganu, Malaysia. The result shows that in certain cases, TLMOM1 is a better option as compared to LMOM and TLMOM in modelling those series.

Item Type:Article
Uncontrolled Keywords:L-moments, TL-moments, Generalized Logistic Distributions, Parameter Estimation
Subjects:Q Science
Divisions:Science
ID Code:39939
Deposited By: Fazli Masari
Deposited On:21 Jul 2014 13:20
Last Modified:17 Mar 2019 12:21

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