Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1150891 | Statistical Methodology | 2013 | 11 Pages |
Abstract
In this paper, we present some characterizations of distributions based on the regression of generalized order statistics. In the case of adjacent generalized order statistics, the conditional expectation of one generalized order statistic given the other one completely characterizes distributions depending on the type of regression function. In the case of non-adjacent generalized order statistics, the characterization of distributions using conditional expectations becomes more complicated. The results presented in the paper unify and extend some of the existing results involving order statistics and record values.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
M.I. Beg, M. Ahsanullah, Ramesh C. Gupta,