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AUTHOR(S): Mohamed Maswadah
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TITLE Estimation of the Pareto Distribution of the Second Kind Parameters Based on Picard’s Method |
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ABSTRACT Bayes’ method is the most applicable for estimating the distribution parameters in the literature. Thus, the main objective of this work is to introduce an optimal numerical iteration technique, such as Picard’s method. This method has been used to estimate the Pareto distribution of the second kind of parameters and compare it with Bayes’ method via a Monte Carlo simulation study. The simulation results indicated that Picard’s method is more efficient than the Bayes method based on the generalized progressive hybrid censored scheme. Numerical examples are given for illustration and comparison of the proposed methods. |
KEYWORDS Bayesian inference; Characteristic prior; Informative prior; Kernel prior; Picard’ method |
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Cite this paper Mohamed Maswadah. (2025) Estimation of the Pareto Distribution of the Second Kind Parameters Based on Picard’s Method. International Journal of Mathematical and Computational Methods, 10, 15-26 |
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