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Subject: Statistics × Author: Bhushana Babu, V. × Start date: 1984 × Type: Thesis × Thesis Type: Ph.D ×
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    ThesisItemOpen Access
    Probability Models for Spatial and Temporal Distributions of Rainfall in Haryana
    (CCSHAU, 2015) Bhushana Babu, V.; Hooda, B.K.
    The present investigation was carried to study probability models for spatial and temporal distributions of rainfall in Haryana. Various probability distributions describing daily, weekly and monthly rainfall behavior in Haryana were applied. The daily rainfall data of 34 years (1971 to 2005) were used covering 42 rainfall stations across Haryana. Exponential, gamma, Gumbel, lognormal and Weibull distributions were fitted to daily, weekly and monthly rainfall. Maximum Likelihood (ML) method was used for estimating parameters of the probability distributions. Kolmogorov-Smirnov (KS), Anderson-Darling (AD) and Chi-Square tests were used to test the goodness of fit of the fitted distributions. It was found that there is no single distribution that described the rainfall pattern of all the stations. However at most of the stations lognormal distribution was found to be best fit for daily rainfall based on KS and AD tests while Gumbel distribution was found to be best fit for weekly and monthly rainfall based on KS and Chi-Square tests. Multi-Criteria Decision Approach (MCDA) based on fuzzy majority approach was used for selection of best statistical distribution among Exponential, Gamma, Lognormal and Weibull distribution for describing daily, weekly and monthly rainfall. Lognormal distribution was found to be best fitting distribution to describe daily rainfall while gamma distribution was found to be best fitting distribution to describe weekly and monthly rainfall in various districts of Haryana.