On Concomitants of Order Statistics from Farlie-Gumbel-Morgenstern Bivariate Lomax Distribution and its Application in Estimation

ýIn this paperý, ýwe have dealt with the distribution theory of concomitants of order statistics arising from Farlie-Gumbel-Morgenstern bivariate Lomax distributioný. ýWe have discussed the estimation of the parameters associated with the distribution of the variable Y of primary interestý, ýbased on the ranked set sample defined by ordering the marginal observations on an auxiliary variable Xý, ýwhen (X,Y) follows a Farlie-Gumbel-Morgenstern bivariate Lomax distributioný. ýWhen the association parameter and the shape parameter corresponding to Y are knowný, ýwe have proposed four estimatorsý, ýviz.ý, ýan unbiased estimator based on the Stoke's ranked set sampleý, ýthe best linear unbiased estimator based on the Stoke's ranked set sampleý, ýthe best linear unbiased estimator based on the extreme ranked set sample and the best linear unbiased estimator based on the multistage extreme ranked set sample for the scale parameter of the variable of primary interestý. ýThe relative efficiencies of these estimators have also been worked outý.