Bayes estimators for reliability and hazard function of Rayleigh-Logarithmic (RL) distribution with application

Authors

  • Alaa Faris Hameed
  • Iqbal Mahmood Alwan

DOI:

https://doi.org/10.21533/pen.v8.i4.1366

Abstract

In this paper, we derived an estimators and parameters of Reliability and Hazard function of new mix
distribution ( Rayleigh- Logarithmic) with two parameters and increasing failure rate using Bayes Method
with Square Error Loss function and Jeffery and conditional probability random variable of observation. The
main objective of this study is to find the efficiency of the derived of Bayesian estimator compared to the
to the Maximum Likelihood of this function using Simulation technique by Monte Carlo method under
different Rayleigh- Logarithmic parameter and sample sizes. The consequences have shown that Bayes
estimator has been more efficient than the maximum likelihood estimator in all sample sizes with application.

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Published

2020-12-30

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Section

Articles

How to Cite

Bayes estimators for reliability and hazard function of Rayleigh-Logarithmic (RL) distribution with application. (2020). Periodicals of Engineering and Natural Sciences, 8(4). https://doi.org/10.21533/pen.v8.i4.1366