Application of the Length–Biased Weibull–Rayleigh distribution to fit the rainy season Rainfall for the Upper Ping River in Northern Thailand

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Main Authors: Tanachot, Chaito, Nawapon, Nakharutai, Manad, Khamkong
Other Authors: manad.k@cmu.ac.th
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2022
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Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74086
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spelling my.unimap-740862022-02-11T12:13:32Z Application of the Length–Biased Weibull–Rayleigh distribution to fit the rainy season Rainfall for the Upper Ping River in Northern Thailand Tanachot, Chaito Nawapon, Nakharutai Manad, Khamkong manad.k@cmu.ac.th Length–biased distribution Rainfall data Ping River Return level Profile likelihood Link to publisher's homepage at https://amci.unimap.edu.my/ Statistical distributions are important and useful to determine the appropriate distributions for rainfall data and predict the return levels of rainfall data. The objectives of this study are to apply the length–biased Weibull–Rayleigh (LBWR) distribution for fitting the rainy season rainfall data and to predict the return levels of the rainy season rainfall data. The LBWR distribution is compared with the Rayleigh, Weibull, and Weibull–Rayleigh distributions to determine the best -fit for the rainy season rainfall data from 1957 to 2020 of Samoeng (Chiang Mai) and Mae Tha (Lamphun) stations in Thailand. From the Kolmogorov–Smirnov test, Anderson–Darling test and Akaike information criteria, the results show that the LBWR distribution is the best–fit distribution of the rainy season rainfall data for both stations. Based on the prediction of the return levels of the rainy season rainfall data, it shows that the rainy season rainfall at Samoeng station had higher return level than the rainy season rainfall at Mae Tha station. This could conclude that Samoeng district having a higher risk of flood compared to Mae Tha district. Therefore, the results from this study could be useful to formulate guidelines and strategies for flood irrigation and water management in Samoeng district. 2022-02-11T12:13:32Z 2022-02-11T12:13:32Z 2021-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.10(1), 2021, pages 288-300 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74086 en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Length–biased distribution
Rainfall data
Ping River
Return level
Profile likelihood
spellingShingle Length–biased distribution
Rainfall data
Ping River
Return level
Profile likelihood
Tanachot, Chaito
Nawapon, Nakharutai
Manad, Khamkong
Application of the Length–Biased Weibull–Rayleigh distribution to fit the rainy season Rainfall for the Upper Ping River in Northern Thailand
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 manad.k@cmu.ac.th
author_facet manad.k@cmu.ac.th
Tanachot, Chaito
Nawapon, Nakharutai
Manad, Khamkong
format Article
author Tanachot, Chaito
Nawapon, Nakharutai
Manad, Khamkong
author_sort Tanachot, Chaito
title Application of the Length–Biased Weibull–Rayleigh distribution to fit the rainy season Rainfall for the Upper Ping River in Northern Thailand
title_short Application of the Length–Biased Weibull–Rayleigh distribution to fit the rainy season Rainfall for the Upper Ping River in Northern Thailand
title_full Application of the Length–Biased Weibull–Rayleigh distribution to fit the rainy season Rainfall for the Upper Ping River in Northern Thailand
title_fullStr Application of the Length–Biased Weibull–Rayleigh distribution to fit the rainy season Rainfall for the Upper Ping River in Northern Thailand
title_full_unstemmed Application of the Length–Biased Weibull–Rayleigh distribution to fit the rainy season Rainfall for the Upper Ping River in Northern Thailand
title_sort application of the length–biased weibull–rayleigh distribution to fit the rainy season rainfall for the upper ping river in northern thailand
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2022
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74086
_version_ 1729704724673855488
score 13.214268