Characterizations of Distributions Via Conditional Expectation of Function of Generalized Order Statistics

Abstract

Characterizations of probability distributions by different regression conditions on generalized order statistics have attracted the attention of many researchers. We present here, characterization of distributions based on the conditional expectation of generalized order statistics extending the characterization results reported by Noor and Athar (2014).

Keywords

• Conditional expectation; generalized order statistics; upper record values.