Abstract
Characterizations of probability distributions by regressional properies have attracted the attentions of many researchers. Suppose that X-r equivalent to X-r,X-n,X-(m) over tilde;,X-k, r = 1, horizontal ellipsis , n are n generalized order statistics (gos). We have studied several basic and regressional propertitis of the gos. Based on these distributional properties some characterizations of continuous distributions are presented. It is also shown that many of the known characterization results are special cases of the results presented in the paper.