Study On Lomax-kumaraswamy Distribution Its Properties And Applications

The Kumaraswamy probability distribuion has the same basic properties as the beta distribution. In this dissertation, we proposed a new extension of the Kumaraswamy distribution known as the Lomax-Kumaraswamy distribution, with two additional parameters using the Lomax generator proposed in earlier research. We derived the cumulative distribution function (cdf) and the probability density function (pdf). We also derived some basic statistical properties of the new distribution such as moments, moment generating function, quantile function, the characteristics function, reliability analysis, and the distribution of order statistics. Some plots of the distribution revealed that it is a positively skewed distribution. The parameters of the model have been estimated using maximum likelihood method. Two real data sets were used to test the performance of the new distribution, by comparing it with some generalizations of the Kumaraswamy distribution. The result shows that the proposed distribution provides better fits than the baseline distribution and some of the generalizations of Kumaraswamy distribution when the data sets are positively skewed.

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