Jaafer Hmood Eidi This email address is being protected from spambots. You need JavaScript enabled to view it.1 and Makki A. Mohammed Salih 1
1Department of Mathematics, College of Education, Almustansiriyah University-Baghdad-Iraq
Received: October 5, 2021 Accepted: December 28, 2021 Publication Date: February 2, 2022
Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.
Some estimators were used to estimate parameters and reliability function of the Transmuted Rayleigh (TR) distribution, namely, moments (MOM) and modified moments(MM), least squares (LS), weighted least squares (WLS), new white (NW), and the maximum likelihood Estimation (MLE), where the simulation method was used to generate the required data, where a sample size (n = 10, 50 and 100), repeated sample (N = 1000) and the real value of the parameters for four experiments. The obtained results were compared by mean square error. In general, the results showed that both the of MLE and MOM are the best in estimating scale parameter, but in estimating the transmuted parameter, MLE is the best, and in estimating reliability function, the NW is the better than the rest of the methods.
Keywords: Transmuted Rayleigh distribution, Estimation methods, Simulation, Mean square error
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