Cumulative residual extropy of minimum ranked set sampling with unequal samples

Cumulative residual extropy of minimum ranked set sampling with unequal samples

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...

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Bibliographic Details
Main Authors: M.R. Kazemi, S. Tahmasebi, C. Calì, M. Longobardi
Format: Article
Language:English
Published: Elsevier 2021-05-01
Series:Results in Applied Mathematics
Subjects:
Cumulative residual extropy
Discrimination measure
Minimum ranked set sampling
Stochastic ordering
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037421000170
Description
Summary: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 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.
ISSN:2590-0374

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