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首页> 外文会议>International Conference on Water and Environment(WE-2003); 20031215-18; Bhopal(IN) >Fitting Of Frequency Distribution Function Of Rainfall For Midnapur District Of West Bengal (India)- A Case Study
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Fitting Of Frequency Distribution Function Of Rainfall For Midnapur District Of West Bengal (India)- A Case Study

机译：西孟加拉邦（印度）米德纳布尔地区降雨频率分布函数的拟合-案例研究

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摘要

Among various climatic parameters rainfall is of greatest concern to the population of India. The inter-annual variability of the yearly and monsoon rainfall has considerable impact on national activities like agriculture, water management and hydropower generation. In the present paper the annual rainfall data of Midnapur district of West Bengal, India for the period of twenty-one years (1980 to 2001) have been statistically analyzed to arrive at an inference from the point of quantile estimation of rainfall for different return periods by fitting frequency distribution function. Fitting of frequency distribution function involves the test of independence of the data, as it is a basic assumption for frequency distribution, which was carried out by using Wald-Wolfowitz test and Anderson's correlogram test. The true hypothesis of these tests clearly indicates that the series is independent at 5 % significance level. The statistical parameters such as coefficient of variation (Cv) and coefficient of skewness (Cs) were determined for original annual rainfall series as well as log-transformed series to check the preliminary fitting of appropriate distribution function. The Cv and Cs of both the series, original as well as log-transformed series were found to be 0.2906 and 0.6403; and 0.0283 and 0.1086 respectively, which gave an indication of fitting of Log-Normal distribution function for the annual rainfall series of Midnapur raingauge station. The parameters of Normal and Lognormal frequency distribution functions were estimated by using the method of moments (MoM). The Kolmogorov-Smimov (K-S) test was applied to check the goodness of fit of distribution function at 5 % significance level. The tests reveal that the lognormal distribution was fitted best to the annual rainfall series of Midnapur raingauge station of West Bengal and was used in computation of quantile estimates.
机译：在各种气候参数中，降雨是印度人口最关注的问题。年度和季风降雨的年际变化对农业，水资源管理和水力发电等国家活动产生重大影响。本文对印度西孟加拉邦Midnapur地区21年（1980年至2001年）的年度降雨数据进行了统计分析，从不同返回期的降雨的分位数估算得出了推论。通过拟合频率分布函数频率分布函数的拟合涉及数据独立性的测试，因为它是频率分布的基本假设，是通过使用Wald-Wolfowitz检验和Anderson的相关图检验进行的。这些检验的真实假设清楚地表明，该系列在5％的显着性水平上是独立的。确定原始年降水量序列和对数转换序列的统计参数，例如变异系数（Cv）和偏度系数（Cs），以检查适当分布函数的初步拟合。发现该序列以及原始序列和对数转换序列的Cv和Cs分别为0.2906和0.6403；分别为0.0283和0.1086，这表明对Midnapur雨量计站的年降水量序列进行对数正态分布函数拟合。使用矩量法（MoM）估算正态和对数正态频率分布函数的参数。进行了Kolmogorov-Smimov（K-S）检验，以检验显着性水平为5％时分布函数的拟合优度。测试表明，对数正态分布最适合西孟加拉邦Midnapur雨量计站的年度降雨序列，并用于分位数估计的计算。

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