On concomitants of bivariate farlie-gumbel-morgenstern distributions

The farlie-gumbel-morgenstern (fgm) family of bivariate distributions is widely used in practice. here,we present some distributional properties of the concomitants of bivariate fgm family. concomitants are the y-variates associated with the ordered x-variate from a bivariate distribution f(x,y). in some applications only available data are the concomitants. based on these distributional properties,we address the concomitants of generalized order statistics for some popular probability model. in particular,the estimations of location and scale parameters of the bivariate fgm family of distributions when the marginal distributions are exponential,power function and pareto are obtained. further,we provide the mvlue estimators of the location,scale and an unbiased estimator of the dependence parameter of the distribution. © 2013 pakistan journal of statistics.