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On simple estimation technique for the reliability of exponential lifetime model
Al-Hemyari, Z.A.,Al-Saidy, Obaid M.,Al-Ali, A.R. The Korean Reliability Society 2013 International Journal of Reliability and Applicati Vol.14 No.2
Exponential distribution plays a key role in engineering reliability and its applications. The exponential failure model has been studied for years. This article introduces two new preliminary test estimators for the reliability function (R(t)) in complete and censored samples from the exponential model with the use of a prior estimation (${\theta}_0$) of the mean (${\theta}$). The proposed preliminary test estimators are studied and compared numerically with the existing estimators. Computer-intensive calculations for bias and relative efficiency show that for, different values of levels of significance and for varying constants involved in the proposed estimators, the proposed estimators are far better than classical and existing estimators.
On simple estimation technique for the reliability of exponential lifetime model
Z. A. Al-Hemyari,Obaid M. Al-Saidy,A. R. Al-Ali 한국신뢰성학회 2013 International Journal of Reliability and Applicati Vol.14 No.2
Exponential distribution plays a key role in engineering reliability and its applications. The exponential failure model has been studied for years. This article introduces two new preliminary test estimators for the reliability function ( R(t) ) in complete and censored samples from the exponential model with the use of a prior estimation ( θ0 ) of the mean ( θ ) . The proposed preliminary test estimators are studied and compared numerically with the existing estimators. Computer-intensive calculations for bias and relative efficiency show that for, different values of levels of significance and for varying constants involved in the proposed estimators, the proposed estimators are far better than classical and existing estimators.