Best Linear Unbiased Estimation of Location and Scale Parameters of the Half-Logistic Distribution Based on Type II Censored Samples

For the half–logistic distribution, Balakrishnan (1985) derived several recurrence relations satisfied by the single and the product moments of order statistics and applied them in a simple recursive process to compute the means, variances and covariances of order statistics for sample sizes up to 15. Balakrishnan and Puthenpura (1986) made use of those results to tabulate the coefficients of the best linear unbiased estimators of location and scale parameters based on complete samples. In this paper, we extend their results and tabulate the. best linear unbiased estimators when the samples are singly and doubly Type II censored. We also present the values of the variances and covariance of these estimators. Finally, we present two examples in which tables are used.