RANDOM CONTRACTION SCHEMES FOR EXTREMAL ORDER STATISTICS

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Submitted: 2025-02-19; Published: 2025-02-19

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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.