2020/08/20 by Mohammad Reza Kazemia, Kazemia, Mohammad Reza, Saeid Tahmasebib +5
Decision Sciences · Mathematics · #60E15 #62B10 #62D05 #94A17 #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #FOS: Mathematics #Fuzzy Systems and Optimization #Probability (math.PR) #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST) #math.PR #math.ST #msc:60E15 #msc:62B10 #msc:62D05 #msc:94A17 #stat.TH
paper · pdf · doi:10.48550/arxiv.2008.08990
arxiv created 2020/08/20 · openalex publication_date 2020/08/20 · arxiv updated 2020/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.