RANDOM CONTRACTION SCHEMES FOR EXTREMAL ORDER STATISTICS

V.K. Saghatelyan

doi:10.46991/PYSU:A/2012.46.2.029

RANDOM CONTRACTION SCHEMES FOR EXTREMAL ORDER STATISTICS

Authors

V.K. Saghatelyan Chair of Actuarial Mathematics and Risk Management, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2012.46.2.029

Keywords:

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

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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Published

2012-05-10

How to Cite

Saghatelyan, V. (2012). RANDOM CONTRACTION SCHEMES FOR EXTREMAL ORDER STATISTICS. Proceedings of the YSU A: Physical and Mathematical Sciences, 46(2 (228), 29–34. https://doi.org/10.46991/PYSU:A/2012.46.2.029