G-Ordered Functions in Statistics.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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This paper generalizes and extends work for functions decreasing in transposition DT. It introduces reflection ordering and G-ordered functions and develops many preservation properties for these functions. G-ordered functions contain, as a special case, G-monotone functions and a preservation theorem for G-monotone functions is shown under an integral transform. The results are extended in the area of stochastic comparisons to a larger class of probability distributions.
- Statistics and Probability