Estimation of the generalized logistic distribution of extreme events using partial L-moments |
| |
| Authors: | Zahrahtul Amani Zakaria Ani Shabri Ummi Nadiah Ahmad |
| |
| Affiliation: | 1. Faculty of Informatics , Universiti Sultan Zainal Abidin Malaysia , PO Box 21300, Kuala Terengganu , Terengganu , Malaysia amanizakaria@gmail.com;3. Department of Mathematics, Faculty of Science , Universiti Teknologi Malaysia , PO Box 81310, Skudai , Johor , Malaysia |
| |
| Abstract: | Abstract Statistical analysis of extreme events is often carried out to predict large return period events. In this paper, the use of partial L-moments (PL-moments) for estimating hydrological extremes from censored data is compared to that of simple L-moments. Expressions of parameter estimation are derived to fit the generalized logistic (GLO) distribution based on the PL-moments approach. Monte Carlo analysis is used to examine the sampling properties of PL-moments in fitting the GLO distribution to both GLO and non-GLO samples. Finally, both PL-moments and L-moments are used to fit the GLO distribution to 37 annual maximum rainfall series of raingauge station Kampung Lui (3118102) in Selangor, Malaysia, and it is found that analysis of censored rainfall samples of PL-moments would improve the estimation of large return period events. Editor D. Koutsoyiannis; Associate editor K. Hamed Citation Zakaria, Z.A., Shabri, A. and Ahmad, U.N., 2012. Estimation of the generalized logistic distribution of extreme events using partial L-moments. Hydrological Sciences Journal, 57 (3), 424–432. |
| |
| Keywords: | L-moments PL-moments censored samples generalized logistic distribution |
|
|
