On system reliability estimation in stress-strength setup

نویسندگان
Rostami, Ali ID 1
Khanjari Sadegh, Mohammad ID 2
Khorashadizadeh, Mohammad ID 3

1 Department of Statistics, University of Birjand, Birjand, Iran

2 Department of Statistics, University of Birjand, Birjand, Iran

3 Department of Statistics, University of Birjand, Birjand, Iran

doi
10.22034/jsmta.2023.19115.1067
چکیده

In this paper‎, ‎we consider the estimation of the stress-strength reliability of a coherent system‎. ‎The distributions of stress and strength random variables are the members of a general class of distributions‎. ‎For a series-parallel system‎, ‎the reliability of the stress-strength model is estimated using the maximum likelihood estimation‎, ‎asymptotic confidence interval‎, ‎uniformly minimum variance unbiased estimation‎, ‎and Bayes estimation‎. ‎Also‎, ‎simulation studies are performed‎, ‎and two real data sets are analyzed.

کلیدواژه‌ها
Asymptotic confidence interval, Bayes estimation, Maximum likelihood estimation, Stress-strength reliability, Uniformly minimum variance unbiased estimation