"A Simulation Study on Parameter Estimation for the Lomax-Pareto Mixture Distribution"
الملخص
This paper proposed a new distribution called the Lomax-Pareto distribution using the theory of mean generalized distributions applied to the Lomax distribution. The new distribution (Lomax-Pareto distribution) had four parameters ( , β, , ) , and some crucial functions were developed for this distribution, such as the joint function, the probability function, and the reliability function. Two estimation procedures for the parameters of this new distribution were proposed, namely, the maximum likelihood estimation and the least squares estimation methods. Monte Carlo simulation was then used to compare methods, where samples of sizes 10, 25, 50, and 100 were generated, and criteria such as MSE and Bias were used. The results showed that the LSE method was better than the MLE method, as it yielded some good and acceptable results
التنزيلات
المراجع
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منشور
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2026-04-27
