Exact Moments of Lower Generalized Order Statistics from Power Function Distribution

Abtsrcat

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 con-cept of lower generalized order statistics (lgos) to enable a common approach to descending ordered rv's 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 simple expressions for single and product moments of lower generalized order statistics from power function distribution have been obtained. Further, some important deductions and computational works are carried out.