-3Properties of spacings of generalized order statistics based on IFR and DFR distributions are shown to characterize exponential distributions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am30-3-2, author = {Erhard Cramer and Udo Kamps and Mohammad Z. Raqab}, title = {Characterizations of exponential distributions by spacings of generalized order statistics}, journal = {Applicationes Mathematicae}, volume = {30}, year = {2003}, pages = {257-265}, zbl = {1125.62309}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-3-2} }
Erhard Cramer; Udo Kamps; Mohammad Z. Raqab. Characterizations of exponential distributions by spacings of generalized order statistics. Applicationes Mathematicae, Tome 30 (2003) pp. 257-265. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-3-2/