Parameter estimation based on partial l-Moments method for censored samples
Estimation of flood magnitude is a crucial component in planning, designing, and managing of water resources projects. The main focus in hydrologic design is the estimation of high flow quantile. L-moments, popular among hydrologist in flood estimation is known to be oversensitive towards the lower...
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| Format: | Article |
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Pushpa Publishing House
2015
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| _version_ | 1796860570587103232 |
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| author | Zakaria, Zahrahtul Amani Shabri, Ani Mamat, Mustafa |
| author_facet | Zakaria, Zahrahtul Amani Shabri, Ani Mamat, Mustafa |
| author_sort | Zakaria, Zahrahtul Amani |
| collection | ePrints |
| description | Estimation of flood magnitude is a crucial component in planning, designing, and managing of water resources projects. The main focus in hydrologic design is the estimation of high flow quantile. L-moments, popular among hydrologist in flood estimation is known to be oversensitive towards the lower part of the distribution and gives insufficient weight to large sample values. As an alternative, the method of partial L-moments (PL-moments) is proposed to give weightage to the upper part of distribution and large values in censored sample. In this paper, three widely used distributions are selected namely; generalized extreme value (GEV), generalized logistic (GLO) and generalized Pareto (GPA) distribution, for the analysis of censored flood samples. Monte Carlo simulations are conducted to illustrate the performance of PL-moments compared to simple L-moments in fitting each distribution to its samples. Finally, both simple L-moments and PL-moments are used to fit the GLO distribution to two data sets of annual maximum flow series of River Ketil in Kedah and River Gemencheh in Negeri Sembilan, Malaysia. |
| first_indexed | 2024-03-05T19:43:21Z |
| format | Article |
| id | utm.eprints-58750 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:43:21Z |
| publishDate | 2015 |
| publisher | Pushpa Publishing House |
| record_format | dspace |
| spelling | utm.eprints-587502021-12-19T02:43:44Z http://eprints.utm.my/58750/ Parameter estimation based on partial l-Moments method for censored samples Zakaria, Zahrahtul Amani Shabri, Ani Mamat, Mustafa QA Mathematics Estimation of flood magnitude is a crucial component in planning, designing, and managing of water resources projects. The main focus in hydrologic design is the estimation of high flow quantile. L-moments, popular among hydrologist in flood estimation is known to be oversensitive towards the lower part of the distribution and gives insufficient weight to large sample values. As an alternative, the method of partial L-moments (PL-moments) is proposed to give weightage to the upper part of distribution and large values in censored sample. In this paper, three widely used distributions are selected namely; generalized extreme value (GEV), generalized logistic (GLO) and generalized Pareto (GPA) distribution, for the analysis of censored flood samples. Monte Carlo simulations are conducted to illustrate the performance of PL-moments compared to simple L-moments in fitting each distribution to its samples. Finally, both simple L-moments and PL-moments are used to fit the GLO distribution to two data sets of annual maximum flow series of River Ketil in Kedah and River Gemencheh in Negeri Sembilan, Malaysia. Pushpa Publishing House 2015 Article PeerReviewed Zakaria, Zahrahtul Amani and Shabri, Ani and Mamat, Mustafa (2015) Parameter estimation based on partial l-Moments method for censored samples. Far East Journal of Mathematical Sciences, 96 (6). pp. 671-684. ISSN 0972-0871 http://dx.doi.org/10.17654/FJMSMar2015_671_684 DOI:10.17654/FJMSMar2015_671_684 |
| spellingShingle | QA Mathematics Zakaria, Zahrahtul Amani Shabri, Ani Mamat, Mustafa Parameter estimation based on partial l-Moments method for censored samples |
| title | Parameter estimation based on partial l-Moments method for censored samples |
| title_full | Parameter estimation based on partial l-Moments method for censored samples |
| title_fullStr | Parameter estimation based on partial l-Moments method for censored samples |
| title_full_unstemmed | Parameter estimation based on partial l-Moments method for censored samples |
| title_short | Parameter estimation based on partial l-Moments method for censored samples |
| title_sort | parameter estimation based on partial l moments method for censored samples |
| topic | QA Mathematics |
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