Characterizations of Continuous Distributions Based on Conditional Expectation of Generalized Order Statistics
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Taylor & Francis
Communications in Statistics - Theory and Methods
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Characterizations of probability distributions by different regression conditions on generalized order statistics have attracted the attention of many researchers, in particular Bieniek and Szynal (2003), Cramer et al. (2004), and Bieniek (2007, 2009). We present here certain characterizations of univariate continuous distributions based on the conditional expectation of adjacent generalized order statistics.