linear inference for order statistics of lindley distribution

In this paper‎, ‎order statistics and associated inferences are considered from lindley distribution‎. ‎we derive the exact forms of means‎, ‎variances and covariances as well as the moment generating functions of order statistics‎. ‎these obtained forms allow us to compute the means‎, ‎variances‎, ‎and covariances of the order statistics for various values of the shape parameter‎. ‎these values are then used to compute the coefficients of the best linear unbiased estimators‎, ‎the best linear invariant estimators‎, ‎and the least square estimators of the location and scale parameters‎. ‎the variances and covariances of these estimators are also presented‎. ‎using the best linear unbiased estimators and best linear invariant estimators we construct confidence intervals for the location and scale parameters through monte carlo simulations‎. ‎in addition‎, ‎based on the ordered data‎, ‎we investigate how to obtain the best linear unbiased predictor and the best linear invariant predictor for future order statistics‎. ‎finally‎, ‎data analysis and monte carlo simulation have been performed for illustrative purposes and comparative studies‎, ‎respectively.