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.
