تقدير مَعْلَمَاْت توزيع كوماراسوامي – باريتو بواسون بإستعمال طريقتي المربّعات الصغرى والطريقة المعتَمّدة على النسب المئوية والمقارنة بينهما

Abstract

This study exhibits a new distribution based on Kumaraswamy- G Poisson's generalization. It shows how the cumulative distribution function (cdf) and the probability density function (pdf) of a new distribution are presented. It has been expected that the new distribution will be more flexible and appropriate than the base distribution, this can be achieved by adding new parameters. Some important properties were also presented, such as the survival function. Moreover, the method based on percentages and the method of least squares are proposed to estimate the parameters of the new distribution. A particular simulation is also conducted here for the purpose of evaluating the proposed estimation method, this is by using the mean square error (MSE) and the bias (BIAS). It has been concluded that the simulation experiments have shown that the method based on percentages and the method of least squares have proven its efficiency of the two estimation methods in estimating the parameters of the model, and by comparison, it was found out that the method based on percentages is the best, because the distribution is skewed and has a long tail towards the right and has at least (MSE) and (BIAS).