A best-fit probability distribution for the estimation of rainfall in northern regions of Pakistan

This study was designed to find the best-fit probability distribution of annual maximum rainfall based on a twenty-four-hour sample in the northern regions of Pakistan using four probability distributions: normal, log-normal, log-Pearson type-III and Gumbel max. Based on the scores of goodness of fi...

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Published inOpen life sciences Vol. 11; no. 1; pp. 432 - 440
Main Authors Amin, M. T., Rizwan, M., Alazba, A. A.
Format Journal Article
LanguageEnglish
Published De Gruyter Open 01.01.2016
De Gruyter
Subjects
goodness of fit tests
probability distributions
rainfall
rainfall estimates
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Abstract This study was designed to find the best-fit probability distribution of annual maximum rainfall based on a twenty-four-hour sample in the northern regions of Pakistan using four probability distributions: normal, log-normal, log-Pearson type-III and Gumbel max. Based on the scores of goodness of fit tests, the normal distribution was found to be the best-fit probability distribution at the Mardan rainfall gauging station. The log-Pearson type-III distribution was found to be the best-fit probability distribution at the rest of the rainfall gauging stations. The maximum values of expected rainfall were calculated using the best-fit probability distributions and can be used by design engineers in future research.
AbstractList This study was designed to find the best-fit probability distribution of annual maximum rainfall based on a twenty-four-hour sample in the northern regions of Pakistan using four probability distributions: normal, log-normal, log-Pearson type-III and Gumbel max. Based on the scores of goodness of fit tests, the normal distribution was found to be the best-fit probability distribution at the Mardan rainfall gauging station. The log-Pearson type-III distribution was found to be the best-fit probability distribution at the rest of the rainfall gauging stations. The maximum values of expected rainfall were calculated using the best-fit probability distributions and can be used by design engineers in future research.
Abstract This study was designed to find the best-fit probability distribution of annual maximum rainfall based on a twenty-four-hour sample in the northern regions of Pakistan using four probability distributions: normal, log-normal, log-Pearson type-III and Gumbel max. Based on the scores of goodness of fit tests, the normal distribution was found to be the best-fit probability distribution at the Mardan rainfall gauging station. The log-Pearson type-III distribution was found to be the best-fit probability distribution at the rest of the rainfall gauging stations. The maximum values of expected rainfall were calculated using the best-fit probability distributions and can be used by design engineers in future research.
Author Alazba, A. A.
Amin, M. T.
Rizwan, M.
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  givenname: A. A.
  surname: Alazba
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  organization: Alamoudi Water Research Chair, King Saud University, P.O. Box 2460, Riyadh 11451, Kingdom of Saudi Arabia
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Snippet This study was designed to find the best-fit probability distribution of annual maximum rainfall based on a twenty-four-hour sample in the northern regions of...
Abstract This study was designed to find the best-fit probability distribution of annual maximum rainfall based on a twenty-four-hour sample in the northern...
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walterdegruyter
SourceType Open Website
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Publisher
StartPage 432
SubjectTerms goodness of fit tests
probability distributions
rainfall
rainfall estimates
Title A best-fit probability distribution for the estimation of rainfall in northern regions of Pakistan
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