Estimation of parameters of a two-parameter rectangular distribution and its characterization by k-th

Abstract

In this paper, we shall make use of the properties of the k-th upper record values to develop the inferential procedures such as point estimation. We shall obtain the best linear unbiased estimates of parameters of a two-parameter rectangular distribution based on k-th record values. The efficiency of the best linear unbiased estimates of the parameters based on two k-th record values has been compared with that of the corresponding estimates based on a complete set of k-th record values. At the end we give the characterization of the two-parameter rectangular distribution using k-th upper record values.