Title: Multimodel Response Assessment for Monthly Rainfall Distribution in Some Selected Indian Cities Using Best Fit Probability as a Tool,
Abstract: We carry out a study of the statistical distribution of rainfall
precipitation data for 20 cites in India. We have determined the best-fit
probability distribution for these cities from the monthly precipitation data
spanning 100 years of observations from 1901 to 2002. To fit the observed data,
we considered 10 different distributions. The efficacy of the fits for these
distributions was evaluated using four empirical non-parametric goodness-of-fit
tests namely Kolmogorov-Smirnov, Anderson-Darling, Chi-Square, Akaike
information criterion, and Bayesian Information criterion. Finally, the
best-fit distribution using each of these tests were reported, by combining the
results from the model comparison tests. We then find that for most of the
cities, Generalized Extreme-Value Distribution or Inverse Gaussian Distribution
most adequately fits the observed data.