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Keywords
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Odd log-logistic distribution, modified Weibull distribution, moment, simulation study, maximum likelihoodestimatio
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Abstract
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We introduce a new distribution, so called A new generalized modified Weibull (NGMW) distribution. Variousstructural properties of the distribution are obtained in terms of Meijer’sG–function, such as moments, moment generatingfunction, conditional moments, mean deviations, order statistics and maximum likelihood estimators. The distributionexhibits a wide range of shapes with varying skewness and assumes all possible forms of hazard rate function. The NGMWdistribution along with other distributions are fitted to two sets of data, arising in hydrology and in reliability. It is shown thatthe proposed distribution has a superior performance among the compared distributions as evidenced via goodness–of–fittests
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