دالة الإنتروبي العامة الموزونة لتوزيع ويبل – باريتو مضاعف البتر

Weighted Generalized Entropy function for Double Truncated Weibull-pareto Distribution

The thesis aimed at estimating the weighted generalized entropy function of order (α, β). to measure the change of uncertainty for Double Truncated Weibull-Pareto Distribution ,with three parameters (δ, θ, λ,) , On the theoretical side studied the mathematical properties and methods of estimating its parameters ,the experimental side, simulation using the Monte Carlo method was used to test the preference of the estimation methods, Different values were chosen for the shape parameter (δ, λ) and the scale parameter (θ) with six models, and the comparison between the estimation methods was done by using the partial and over ranks corresponding to the mean of the squares of error, the Maximum Likelihood Method showed It has the greatest advantage over the other methods because it corresponds to the lowest total of ranks, especially at large sample sizes. On the application side, the Maximum Likelihood Method was used to estimate weighted generalized entropy function of order (α, β), and study increase and decrease in this function at different values of truncation in a sample of (95) observations representing working hours Until the failure of the magnetic resonance device, of the Imam Al-Sadiq Hospital in the Health Department of Babylon, as the thesis led to results, the most important use Maximum Likelihood Method to estimate the parameters of Double Truncated Weibull-Pareto Distribution at large sample sizes, also, the entropy function increases with the increase in truncation values, which makes the distribution more fitting of the real data