Volume 16, Number 2 (2017) | JIRSS 2017, 16(2): 0-0 | Back to browse issues page


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M.Phil. University of Kerala
Abstract:   (176 Views)

In this paper, we have described the distribution theory of concomitants of order statistics arising from the Farlie-Gumbel-Morgenstern bivariate Lomax distribution. We have discussed the estimation of the parameters associated with the distribution of the variable Y of primary interest, based on ranked set sample defined by ordering the marginal observations on an auxiliary variable X, when (X, Y ) follows a Farlie-Gumbel-Morgenstern bivariate Lomax distribution. When the association parameter and the shape parameter corresponding to Y are known, we have proposed four estimators viz. an unbiased estimator based on Stokes' ranked set sample, the best linear unbiased estimator based on Stokes' ranked set sample, an unbiased estimator based on extreme ranked set sample and the best linear unbiased estimator based on multistage extreme ranked set sample for the scale parameter of the variable of primary interest. The relative efficiencies of these estimators have also been worked out.

     
Type of Study: Original Paper |
Received: 2015/04/5 | Accepted: 2017/02/20 | Published: 2017/02/20