Estimation of generalized pareto distribution from censored flood samples using partial L-Moments
The use of partial L-moments (PL-moments) for estimating hydrological extremes censored data is compared to that of simple L-moments. Expressions of parameter estimation are derived to fit the generalized Pareto (GP) distribution based on PL-moments approach. A Monte Carlo analysis examined the samp...
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Canadian Center of Science and Education
2011
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author | Zakaria, Zahrahtul Amani Shabri, Ani Ahmad, Ummi Nadiah |
author_facet | Zakaria, Zahrahtul Amani Shabri, Ani Ahmad, Ummi Nadiah |
author_sort | Zakaria, Zahrahtul Amani |
collection | ePrints |
description | The use of partial L-moments (PL-moments) for estimating hydrological extremes censored data is compared to that of simple L-moments. Expressions of parameter estimation are derived to fit the generalized Pareto (GP) distribution based on PL-moments approach. A Monte Carlo analysis examined the sampling properties of PL-moments and the results showed that with censoring flood samples up to 0.2 are similar to those of simple L-moments. Finally, both PL-moments and L-moments are used to fit the GP distribution to 32 annual maximum flow series of River Golok in Kelantan, and it is found that PL-moments produce a better fit to the larger flow values than simple L-moments. |
first_indexed | 2024-03-05T19:03:38Z |
format | Article |
id | utm.eprints-39923 |
institution | Universiti Teknologi Malaysia - ePrints |
last_indexed | 2024-03-05T19:03:38Z |
publishDate | 2011 |
publisher | Canadian Center of Science and Education |
record_format | dspace |
spelling | utm.eprints-399232019-03-17T04:22:24Z http://eprints.utm.my/39923/ Estimation of generalized pareto distribution from censored flood samples using partial L-Moments Zakaria, Zahrahtul Amani Shabri, Ani Ahmad, Ummi Nadiah Q Science The use of partial L-moments (PL-moments) for estimating hydrological extremes censored data is compared to that of simple L-moments. Expressions of parameter estimation are derived to fit the generalized Pareto (GP) distribution based on PL-moments approach. A Monte Carlo analysis examined the sampling properties of PL-moments and the results showed that with censoring flood samples up to 0.2 are similar to those of simple L-moments. Finally, both PL-moments and L-moments are used to fit the GP distribution to 32 annual maximum flow series of River Golok in Kelantan, and it is found that PL-moments produce a better fit to the larger flow values than simple L-moments. Canadian Center of Science and Education 2011-02 Article PeerReviewed Zakaria, Zahrahtul Amani and Shabri, Ani and Ahmad, Ummi Nadiah (2011) Estimation of generalized pareto distribution from censored flood samples using partial L-Moments. Journal of Mathematics Research, 3 (1). pp. 112-120. ISSN 1916-9795 (Print); 1916-9809 (Online) http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:77292 |
spellingShingle | Q Science Zakaria, Zahrahtul Amani Shabri, Ani Ahmad, Ummi Nadiah Estimation of generalized pareto distribution from censored flood samples using partial L-Moments |
title | Estimation of generalized pareto distribution from censored flood samples using partial L-Moments |
title_full | Estimation of generalized pareto distribution from censored flood samples using partial L-Moments |
title_fullStr | Estimation of generalized pareto distribution from censored flood samples using partial L-Moments |
title_full_unstemmed | Estimation of generalized pareto distribution from censored flood samples using partial L-Moments |
title_short | Estimation of generalized pareto distribution from censored flood samples using partial L-Moments |
title_sort | estimation of generalized pareto distribution from censored flood samples using partial l moments |
topic | Q Science |
work_keys_str_mv | AT zakariazahrahtulamani estimationofgeneralizedparetodistributionfromcensoredfloodsamplesusingpartiallmoments AT shabriani estimationofgeneralizedparetodistributionfromcensoredfloodsamplesusingpartiallmoments AT ahmadumminadiah estimationofgeneralizedparetodistributionfromcensoredfloodsamplesusingpartiallmoments |