Estimating the Reliability Function for Transmuted Pareto Distribution Using Simulation

Authors

  • Masa Mohammed Hasan Department of Mathematics, College of Education, Almustansiriyah University, Iraq
  • Makki A. Mohammed Salih Department of Mathematics, College of Education, Almustansiriyah University, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.2.22

Keywords:

Transmuted Pareto Distribution, Estimation methods, Simulation, Mean square error

Abstract

     In this work, the methods (Moments, Modified Moments, L-Moments, Percentile, Rank Set sampling and Maximum Likelihood) were used to estimate the reliability function and the two parameters of the Transmuted Pareto (TP) distribution. We use simulation to generate the required data from three cases this indicates  sample size , and it replicates  for the real value for parameters, for reliability times values  we take .

Results were compared by using mean square error (MSE), the result appears as follows :

The best methods are Modified Moments, Maximum likelihood and L-Moments in first case, second case and third case respectively.

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Published

2022-02-26

Issue

Section

Mathematics

How to Cite

Estimating the Reliability Function for Transmuted Pareto Distribution Using Simulation. (2022). Iraqi Journal of Science, 63(2), 652-666. https://doi.org/10.24996/ijs.2022.63.2.22

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