Characterization By Translation, Contraction and Dilation Of Dual Generalized Order Statistics

摘要

Generalized logistic distributionF(x) = [1+ (m+1)e~(-ax)]1/m+1 has been characterized through translation of two non-adjacent dual generalized order statistics(dgos) and then the characterizing results are obtained for generalized log-logistic distribution through dilation of dual generalized order statistics (dgos) and generalized log-logistic distribution through contraction of non-adjacent generalized order statistics (gos). Further, the results are deduced for order statistics and adjacent generalized order statistics and dual generalized order statistics.