Dual generalized order statistics from family of J-shaped distribution and its characterization

In this paper we derive explicit algebraic expressions and some recurrence relations for both single and product moments of dual generalized order statistics from a family of J-shaped distribution. These relations generalize the results given by Zghoul (2010, 2011). Further, a characterization of this distribution through conditional expectation of dual generalized order statistics is given and some computational works are also carried out.