Rainfall Frequency Analysis Using Order Statistics Approach of Extreme Value Distributions

International Journal of Civil Engineering

© 2014 by SSRG - IJCE Journal

Volume 1 Issue 4

Year of Publication : 2014

Authors : N Vivekanandan

10.14445/23488352/IJCE-V1I4P102

How to Cite?

N Vivekanandan, "Rainfall Frequency Analysis Using Order Statistics Approach of Extreme Value Distributions," SSRG International Journal of Civil Engineering, vol. 1,  no. 4, pp. 6-12, 2014. Crossref, https://doi.org/10.14445/23488352/IJCE-V1I4P102

Abstract:

Estimation of rainfall for a desired return period is of utmost importance for planning, design and management of the hydraulic structures in the project site. This can be achieved by fitting of probability distributions to the series of annual 1-day maximum rainfall. This paper illustrates the use of extreme value distributions for estimation of rainfall for Fatehabad, Hansi, Hissar and Tohana stations. Order Statistics Approach is used for determination of parameters of the extreme value distributions. Goodness-of-Fit tests such as Anderson-Darling and Kolmogorov-Smirnov are applied for checking the adequacy of fitting of the distributions to the recorded data. A diagnostic test of D-index is used for the selection of a suitable probability distribution for rainfall estimation. Based on GoF and diagnostic tests results, the study shows the Gumbel distribution is better suited for rainfall estimation for the stations under study.

Keywords:

Frechet, Gumbel, KolmogorovSmirnov, D-index, Order Statistics, Return period

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