A Bayesian shrinkage approach under symmetric and asymmetric loss functions for the Rayleigh distribution with the progressively type-II censoring schemes

نویسندگان
Khodadadi, Zahra ID 1
Zare, Karim ID 2
Delavari, Mojtaba ID 3
Deiri, Einolah ID 4

1 Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran

2 Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran

3 Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran

4 Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

doi
10.22034/jsmta.2024.21661.1142
چکیده

The main goal of this paper is to achieve the Bayesian shrinkage estimators for the scale parameter of the Rayleigh distribution with progressively type-II censoring data‎. ‎The best linear estimators are also presented under the squared error and linear exponential loss functions‎. ‎Furthermore‎, ‎the relative efficiency of the proposed Bayesian shrinkage estimators is calculated for the best linear estimators‎. ‎Finally‎, ‎through a numerical analysis‎, ‎the relative efficiency of the Bayesian shrinkage estimators is compared with the best linear estimators.

کلیدواژه‌ها
Bayesian shrinkage estimators‎, ‎Linear exponential loss function‎, ‎Rayleigh distribution‎, ‎Squared error loss function