Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments
Extremes precipitation may cause a series of social, environmental, and ecological problems. Estimation of frequency of extreme precipitations and its magnitude is vital for making decisions about hydraulic structures such as dams, spillways, and dikes. In this study, we focus on regional frequency...
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Hindawi Limited
2017-01-01
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Series: | Advances in Meteorology |
Online Access: | http://dx.doi.org/10.1155/2017/6954902 |
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doaj-ad8d092d5eb74be59be22534983c73812020-11-24T22:14:41ZengHindawi LimitedAdvances in Meteorology1687-93091687-93172017-01-01201710.1155/2017/69549026954902Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-MomentsSaid Arab Khan0Ijaz Hussain1Tajammal Hussain2Muhammad Faisal3Yousaf Shad Muhammad4Alaa Mohamd Shoukry5Department of Statistics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Statistics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Statistics, COMSATS Institute of Information Technology, Lahore, PakistanFaculty of Health Studies, University of Bradford, Bradford, UKDepartment of Statistics, Quaid-i-Azam University, Islamabad, PakistanArriyadh Community College, King Saud University, Riyadh, Saudi ArabiaExtremes precipitation may cause a series of social, environmental, and ecological problems. Estimation of frequency of extreme precipitations and its magnitude is vital for making decisions about hydraulic structures such as dams, spillways, and dikes. In this study, we focus on regional frequency analysis of extreme precipitation based on monthly precipitation records (1999–2012) at 17 stations of Northern areas and Khyber Pakhtunkhwa, Pakistan. We develop regional frequency methods based on L-moment and partial L-moments (L- and PL-moments). The L- and PL-moments are derived for generalized extreme value (GEV), generalized logistic (GLO), generalized normal (GNO), and generalized Pareto (GPA) distributions. The Z-statistics and L- and PL-moments ratio diagrams of GNO, GEV, and GPA distributions were identified to represent the statistical properties of extreme precipitation in Northern areas and Khyber Pakhtunkhwa, Pakistan. We also perform a Monte Carlo simulation study to examine the sampling properties of L- and PL-moments. The results show that PL-moments perform better than L-moments for estimating large return period events.http://dx.doi.org/10.1155/2017/6954902 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Said Arab Khan Ijaz Hussain Tajammal Hussain Muhammad Faisal Yousaf Shad Muhammad Alaa Mohamd Shoukry |
spellingShingle |
Said Arab Khan Ijaz Hussain Tajammal Hussain Muhammad Faisal Yousaf Shad Muhammad Alaa Mohamd Shoukry Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments Advances in Meteorology |
author_facet |
Said Arab Khan Ijaz Hussain Tajammal Hussain Muhammad Faisal Yousaf Shad Muhammad Alaa Mohamd Shoukry |
author_sort |
Said Arab Khan |
title |
Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments |
title_short |
Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments |
title_full |
Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments |
title_fullStr |
Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments |
title_full_unstemmed |
Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments |
title_sort |
regional frequency analysis of extremes precipitation using l-moments and partial l-moments |
publisher |
Hindawi Limited |
series |
Advances in Meteorology |
issn |
1687-9309 1687-9317 |
publishDate |
2017-01-01 |
description |
Extremes precipitation may cause a series of social, environmental, and ecological problems. Estimation of frequency of extreme precipitations and its magnitude is vital for making decisions about hydraulic structures such as dams, spillways, and dikes. In this study, we focus on regional frequency analysis of extreme precipitation based on monthly precipitation records (1999–2012) at 17 stations of Northern areas and Khyber Pakhtunkhwa, Pakistan. We develop regional frequency methods based on L-moment and partial L-moments (L- and PL-moments). The L- and PL-moments are derived for generalized extreme value (GEV), generalized logistic (GLO), generalized normal (GNO), and generalized Pareto (GPA) distributions. The Z-statistics and L- and PL-moments ratio diagrams of GNO, GEV, and GPA distributions were identified to represent the statistical properties of extreme precipitation in Northern areas and Khyber Pakhtunkhwa, Pakistan. We also perform a Monte Carlo simulation study to examine the sampling properties of L- and PL-moments. The results show that PL-moments perform better than L-moments for estimating large return period events. |
url |
http://dx.doi.org/10.1155/2017/6954902 |
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