CONCOMITANTS OF DUAL GENERALIZED ORDER STATISTICS FROM FARLIE GUMBEL MORGENSTERN TYPE BIVARIATE POWER FUNCTION DISTRIBUTION

Abstract

Order statistics, record values and several other model of ordered random variables can be viewed as special case of generalized order statistics (gos) [Kamps, 1995]. Pawlas
and Szynal (2001), introduced the concept of dual (lower) generalized order statistics to enable a common approach to descending ordered random variable like reversed
order statistics and lower record values. The work of Burkschat et al. (2003) may also be seen for dual (lower) generalized order statistics. In this paper we have obtained probability density function (pdf) of r ô€€€th, 1 r n and the joint pdf of r ô€€€th and s ô€€€ th; , 1 r < s n concomitants of dual generalized order statistics (dgos) from Farlie Gumbel Morgenstern type bivariate power function distribution and single and product moments are derived. Further the results are deduced for moments of k ô€€€ th lower record values and order statistics. Also their means and product moments are
tabulated.