Volume 13 Issue 3 February - April 2018
Research Paper
N. Vivekanandan*
Scientist-B, Central Water and Power
Research Station, Pune, Maharashtra, India.
Vivekanandan, N. (2018). Assessing
the Adequacy of Probability Distribution for Extreme Value Analysis of Rainfall
and Temperature using Goodness-Of-Fit And Diagnostic Tests. i-manager’s
Journal on Future Engineering and Technology, 13(3), 1-8. https://doi.org/10.26634/jfet.13.3.14225
Abstract
Assessment of
rainfall and temperature for a desired return period is of utmost importance
for planning and design of hydraulic structures and also for installation of
nuclear power projects. This can be achieved through Extreme Value Analysis
(EVA) by fitting of probability distribution to the observed series of
meteorological data. This paper illustrates the study on EVA of rainfall and
temperature recorded at Mandla observatory adopting Gumbel and Frechet
distributions. The annual series of 1-day maximum rainfall, maximum and minimum
temperature derived from daily data are used for EVA. The parameters of the
probability distributions are determined by order statistics approach and used
in EVA. The adequacy of probability distribution is quantitatively assessed by
using Goodness-of-Fit (GoF) test viz., Kolmogorov- Smirnov and Diagnostic test,
using correlation coefficient and root mean squared error. The GoF and
Diagnostic tests’ results show that Gumbel is better suited probability
distribution for EVA of rainfall and temperature for the region under study.
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