Séminaire Lotharingien de Combinatoire, 87B.9 (2023), 25 pp.

Malvina Vamvakari

On q-order statistics

Abstract. The main objective of this work is to introduce q-order statistics, for 0<q<1, arising from dependent and not identically distributed q-continuous random variables and to study their distributional properties. q-Order statistics are introduced as q-analogues of the classical order statistics. We study the q-distribution functions and the q-density functions of the relative q-ordered q-continuous random variables. We focus on q-ordered variables arising from dependent and not identically q-uniformly distributed random variables and we derive their q-distributions, including q-power law, q-beta and q-Dirichlet type distributions.

Received: January 31, 2022. Revised: August 23, 2023. Published: August 31, 2023.

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If you need to cite this article, here is a bibtex:

@article{Vamvakari23,
author = {Vamvakari, Malvina},
title = {On $q$-order statistics},
fjournal = {S{\'e}minaire Lotharingien de Combinatoire},
journal = {S{\'e}min. Lothar. Combin.},
issn={1286-4889},
volume = {87B},
number= {9},
pages = {1--25},
year = {2023},
language = {English},
doi={10.48550/arXiv.2311.12634},
}