Dr. Patrick Osatohanmwen

Study Of Moments On Pareto-II Distribution

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Abstract
The work is intended to study the moments of distributions and in particular pareto-II distribution named after Italian scientist, Vilfred pareto. This study was guided by the following objectives; to obtain the rth moment, obtain the mean, variance, skewness and kurtosis of the pareto-II distribution and finally obtain some numerical results of the moment. The study employed the knowledge of differential and integral calculus with transformation of variables to obtain several expressions as we shall be seeing. Statistical software "R" was used to run analysis and obtain numerical results of the moments. Finding revealed that the parameters of the distribution are important in determining the behavior of the moments. From the findings, it implied that the study of moments is important and applicable to study of distributions. Keywords Moments, Parameter, Distribution, Mean, variance, skewness, kurtosis.
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