Cumulative residual extropy of minimum ranked set sampling with unequal samples, By Saeid Tahmasebi

Research

Title	Cumulative residual extropy of minimum ranked set sampling with unequal samples
Type	Article
Keywords	Cumulative residual extropy- Discrimination measure- Minimum ranked set sampling- Stochastic ordering
Journal	Results in Applied Mathematics
DOI	10.1016/j.rinam.2021.100143
Researchers	Mohammad Reza Kazemi (First researcher) , Saeid Tahmasebi (Second researcher) , Camill Calì (Third researcher) , Maria Longobardi (Fourth researcher)

Abstract

Recently, an alternative measure of uncertainty called cumulative residual extropy (CREX) was proposed by Jahanshahi et al. (2019). In this paper, we consider uncertainty measures of minimum ranked set sampling procedure with unequal samples (MinRSSU) in terms of CREX and its dynamic version and we compare the uncertainty and information content of CREX based on MinRSSU and simple random sampling (SRS) designs. Also, using simulation, we study on new estimators of CREX for MinRSSU and SRS designs in terms of bias and mean square error. Finally, we provide a new discrimination measure of disparity between the distribution of MinRSSU and parental data SRS