Application of U–statistics in Estimation of Scale Parameter of Bilal Distribution

Year: 2021       Vol.: 70       No.: 1      

Authors: R. Maya, M.R. Irshad, and S.P. Arun

Abstract:

In this work, we have considered a new lifetime distribution, the Bilal distribution and derived the best linear unbiased estimator (BLUE) of the scale parameter of the Bilal distribution based on order statistics. We further estimate the scale parameter of Bilal distribution by U-statistics based on best linear functions of order statistics as kernels. The efficiency of the proposed estimator relative to the minimum variance unbiased estimator (MVUE) have also been evaluated.

Keywords: Order statistics, Bilal distribution, best linear unbiased estimator, U-statistics

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