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.
Keywords:order statistics, sample extreme, random contraction, random dilation, characterization of distribution, two-sided contraction.
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