원문정보
초록
영어
In this research paper, we have discussed the estimation of location and scale parameters of Weibull distribution using concept of generalized order statistics by the best linear unbiased estimator (BLUE) and an alternative linear estimates (Gupta) from Type II singly and doubly censored samples. Tables of coefficients for best linear estimator and alternative estimator of μandλ have been obtained for various choices of censoring using n≤ 8. Variances and covariances of estimators of μandλ based on BLUE and Gupta methods have also been presented. The computational formula and procedure used have been explained. The efficiencies of the two estimation methods have been compared under a simulation study. The findings of the study suggest that the Gupta method can be replaced by Lloyd’s method which is useful when we have knowledge about the expectations and not about variance covariance matrix.
목차
1. Introduction
2. Generalized Order Statistics
3. Results and Discussions
3.1. Generalized Order Statistics for Weibull Distribution
3.2. Estimation of 𝝁 𝒂𝒏𝒅 𝝈 by BLUE
3.3. Estimation of 𝝁 𝒂𝒏𝒅 𝝈 by Gupta (1952) Method
4. Conclusions
Acknowledgement
References
