PARAMETER-ESTIMATION FOR 3-PARAMETER LOG-LOGISTIC DISTRIBUTION (LLD3)BY POME

Authors
SINGH VP GUO H YU FX
Citation
Vp. Singh et al., PARAMETER-ESTIMATION FOR 3-PARAMETER LOG-LOGISTIC DISTRIBUTION (LLD3)BY POME, Stochastic hydrology and hydraulics, 7(3), 1993, pp. 163-177
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Water Resources","Environmental Sciences","Statistic & Probability
Journal title
Stochastic hydrology and hydraulics → ACNP
ISSN journal
09311955
Volume
7
Issue
3
Year of publication
1993
Pages
163 - 177
Database
ISI
SICI code
0931-1955(1993)7:3<163:PF3LD(>2.0.ZU;2-2
Abstract
The principle of maximum entropy (POME) was employed to derive a new m ethod of parameter estimation for the 3-parameter log-logistic distrib ution (LLD3). Monte Carlo simulated data were used to evaluate this me thod and compare it with the methods of moments (MOM), probability wei ghted moments (PWM), and maximum likelihood estimation (MLE). Simulati on results showed that POME's performance was superior in predicting q uantiles of large recurrence intervals when population skew was greate r than or equal to 2.0. In all other cases, POME' s performance was co mparable to other methods.