Order Statistics of Generalized Topp-Leone Distribution with Application to Tissue Damage Proportions in Blood

Order statistic plays an important role in statistical theoretical and practical problems. In this paper, we derive algebraic expressions for both single and product moments of order statistics from generalized Topp-Leone (GTL) distribution. These expressions will be useful for computational purposes. Further, based on order statistics, we have obtained maximum likelihood estimators of the model parameters and uniformly minimum variance unbiased estimator for the model parameters of the GTL distribution. Finally, based on order statistics, Monte Carlo simulation study has been carried out to compare the performances of the proposed methods in terms of bias and mean square error, and a real life data set has been analyzed for illustrative purposes.