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RANDOM CONTRACTION SCHEMES FOR EXTREMAL ORDER STATISTICS

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

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.

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