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.
Cumulative residual extropy of minimum ranked set sampling with unequal samples / Kazemi, Mohammad Reza; Tahmasebi, Saeid; Calì, Camilla; Longobardi, Maria. - In: RESULTS IN APPLIED MATHEMATICS. - ISSN 2590-0374. - 10:(2021). [10.1016/j.rinam.2021.100143]
Cumulative residual extropy of minimum ranked set sampling with unequal samples
Longobardi, Maria
Ultimo
2021
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.File | Dimensione | Formato | |
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