Estimation of Location and Scale Parameters of Weibull Distribution Using Generalized Order Statistics under Type II Singly and Doubly Censored Data

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 μ and λ have been obtained for various choices of censoring using n ≤ 8. Variances and covariances of estimators of μ and λ 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.