Inference Based On Record Values From Schabe Distribution

In this paper, we discuss the lower record values arising from the Schabe distribution and derive the recurrence relations satisfied by single and product moments of these record values. With the help of these recurrence relations, we compute the means, variances and covariances of the lower record values. These values are then used to compute the best linear unbiased estimators (BLUEs) and the best linear invariant estimators (BLIEs) of the location and scale parameters. By using the BLUEs and BLIEs, we construct confidence intervals for the location and scale parameters through Monte Carlo simulations. Prediction for the future records is given in detail. Finally, simulation study is performed and prediction of future record, comparison between BLUE and BLIE are discussed.