Estimation of the stress-strength reliability for the Levy distribution based on the ranked set sampling
نویسندگان
1 Department of Statistics, University of Hormozgan, Hormozgan, Iran
2 Department of Mathematics, Yasouj University, Yasouj, Iran
doi
10.22034/jsmta.2023.19256.1075چکیده
In this paper, the problem of inferencing the stress-strength reliability under the ranked set sampling and the simple random sampling from the levy distribution function is investigated. The maximum likelihood estimators, their asymptotic distributions, and Bayes estimators are provided for the stress-strength reliability parameter. Furthermore, using a Monte Carlo simulation, for both sampling methods, namely, simple random sampling and ranked set sampling, the Bayes risk estimators and the efficiency of the obtained estimators are computed and compared.
