Evaluation of Estimators of Probability Distributions for Frequency Analysis of Rainfall and River Flow Data

Authors(1) :-N. Vivekanandan

Assessment of extreme rainfall and peak flood for a given return period is of utmost importance for planning and design of hydraulic structures. This can be achieved through Extreme Value Analysis (EVA) of rainfall and Flood Frequency Analysis (FFA) of river flow data by fitting 2-parameter Log Normal, Extreme Value Type-1, Generalized Extreme Value and Log Pearson Type-3 (LP3) distributions to the annual maximum series of observed data. Based on the intended applications and the variate under consideration, method of moments and Maximum Likelihood Method (MLM) are used for determination of parameters of the distributions. The adequacy of fitting probability distributions applied in frequency analysis of rainfall and river flow data was evaluated by quantitative assessment using Goodness-of-Fit (viz., Chi-square and Kolmogorov-Smirnov) and diagnostic (viz., Correlation Coefficient and Root Mean Squared Error) tests, and qualitative assessment by the fitted curves of the estimated values. Based on quantitative and qualitative assessments, the study shows the LP3 (MLM) is better suited for estimation of extreme rainfall and peak flood amongst four distributions adopted in EVA and FFA.

Authors and Affiliations

N. Vivekanandan
Central Water and Power Research Station, Pune, Maharashtra, India

Chi-Square, Correlation Coefficient, Kolmogorov-Smirnov, Log Pearson Type-3, Maximum Likelihood Method, Rainfall, Root Mean Squared Error

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Publication Details

Published in : Volume 4 | Issue 4 | July-August 2020
Date of Publication : 2020-08-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 67-75
Manuscript Number : IJSRCE204412
Publisher : Technoscience Academy

ISSN : 2456-6667

Cite This Article :

N. Vivekanandan, "Evaluation of Estimators of Probability Distributions for Frequency Analysis of Rainfall and River Flow Data ", International Journal of Scientific Research in Civil Engineering (IJSRCE), ISSN : 2456-6667, Volume 4, Issue 4, pp.67-75, July-August.2020
URL : https://ijsrce.com/IJSRCE204412

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