Determination of best-fit probability distribution of annual maximum daily precipitation (Case study- Isfahan and Kashan stations)

Document Type : Research Paper

Author

Faculty of Mathematical Sciences, Kashan University, Kashan, Iran

Abstract

The goal of this paper is to determine the best-fit probability distribution to describe the annual maximum daily rainfall for the Isfahan (period 1951-2010) and Kashan (period 1966-2010) stations located distantly in Isfahan province as an arid geographical region of Iran. The Gamma, Lognormal, Weibull, Pearson type III, inverse Gumbel, inverse Gamma, inverse Normal, and Generalized Extreme Value distributions are fitted for these purposes. Parameters of these distributions were estimated by the method of maximum likelihood. The performances of the distributions are evaluated using the Kolmogorov-Smirnov goodness-of-test. Finally, the inverse Normal distribution and Lognormal distribution were empirically proved to be the most appropriate distribution of the annual maximum daily rainfall for Isfahan and Kasha stations, respectively using the Akaike information criterion

Keywords

References

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History

  • Receive Date: 21 June 2022
  • Revise Date: 15 October 2022
  • Accept Date: 12 October 2022
  • Publish Date: 23 August 2022

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