<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Based on progressively Type-II censored samples, this paper deals with the estimation of R = P(X &lt; Y) when X and Y come from two independent inverted exponentiated rayleigh distributions with different shape parameters, but having the same scale parameter. The maximum likelihood estimator and UMVUE of R is obtained. Different confidence intervals are presented. The Bayes estimator of R and the corresponding credible interval using the Gibbs sampling technique are also proposed. Monte Carlo simulations are performed to compare the performances of the different methods. One illustrative example is provided to demonstrate the application of the proposed method.</p></abstract>

Based on progressively Type-II censored samples, this paper deals with the estimation of R = P(X < Y) when X and Y come from two independent inverted exponentiated rayleigh distributions with different shape parameters, but having the same scale parameter. The maximum likelihood estimator and UMVUE of R is obtained. Different confidence intervals are presented. The Bayes estimator of R and the corresponding credible interval using the Gibbs sampling technique are also proposed. Monte Carlo simulations are performed to compare the performances of the different methods. One illustrative example is provided to demonstrate the application of the proposed method.

LARGE Estimation of the stress-strength reliability of progressively censored inverted exponentiated Rayleigh distributions

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Based on progressively Type-II censored samples, this paper deals with the estimation of R = P(X < Y) when X and Y come from two independent inverted...

LARGE Estimation of the stress-strength reliability of progressively censored inverted exponentiated Rayleigh distributions

Published Online: Jun 23, 2017

Page range: 49 - 76

DOI: https://doi.org/10.1515/jamsi-2017-0004

Keywords
Bayesian estimator, Confidence interval, Maximum likelihood estimator, Monte Carlo simulation, Progressive Type-II censoring, Inverted exponentiated rayleigh distribution

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

LARGE Estimation of the stress-strength reliability of progressively censored inverted exponentiated Rayleigh distributions

Published Online: Jun 23, 2017

Page range: 49 - 76

DOI: https://doi.org/10.1515/jamsi-2017-0004

KeywordsBayesian estimator, Confidence interval, Maximum likelihood estimator, Monte Carlo simulation, Progressive Type-II censoring, Inverted exponentiated rayleigh distribution

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Bayesian estimator, Confidence interval, Maximum likelihood estimator, Monte Carlo simulation, Progressive Type-II censoring, Inverted exponentiated rayleigh distribution