Numerical estimation for the three-parameter burr-xii model parameters based on picard's method

M. Maswadah

Author(s)

M. Maswadah Department of Mathematics, Faculty of Science Aswan University, Aswan, Egypt

Abstract

In parameter estimation techniques, there are several methods for estimation in lifetime distributions and reliability theory. However, most of them are less efficient than the Bayesian method based on the informative prior. Thus, the main objective of this study is to present an optimal estimation technique using Picard's method for estimating the threeparameter Burr type-XII distribution parameters and compare them with the Bayesian estimates based on the informative gamma and kernel priors. A comparison between these estimators is provided using an extensive Monte Carlo simulation based on two criteria, namely, the average bias and the mean squared error. The simulation results indicated that Picard's method is highly favorable, which provides better estimates and outperforms the Bayesian estimates using different loss functions based on the generalized progressive hybrid censoring scheme. Finally, two real dataset analyses are presented to illustrate the efficiency of the proposed methods.

Publication Details

Page(s) 335-357

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 40, Issue: 4, Year: 2024

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Keywords

Bayes estimation, Informative Prior, Kernel prior, LINEX loss function, Picard’s method.

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