Geodesic
Random contraction schemes for extremal order statistics
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2012), pp. 29-34

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In this paper a few new types of random contraction and dilation schemes are considered. In particular, four one-sided additive schemes and two two-sided additive schemes are represented. All schemes has been built for sample extremes and exponential random variables. Characterizations of distributions for all those schemes are obtained.
Keywords: order statistics, sample extreme, random contraction, random dilation, characterization of distribution, two-sided contraction. 
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     title = {Random contraction schemes for extremal order statistics},
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V. K. Saghatelyan. Random contraction schemes for extremal order statistics. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2012), pp. 29-34. http://geodesic.mathdoc.fr/item/UZERU_2012_2_a4/