Zubair Muhammad, Yasin Seyab, Al-Bossly Afrah, Ali Asad, Al Samman Fathia Moh, A Almazah Mohammed M, Iqbal Kanwal
Department of Economics and Statistics, Dr Hasan Murad School of Management (HSM), University of Management and Technology, Lahore, Pakistan.
Mathematics, College of Science and Humanities in Al-Kari, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia.
PLoS One. 2024 Dec 19;19(12):e0312140. doi: 10.1371/journal.pone.0312140. eCollection 2024.
Extreme-cum-median ranked set sampling has been developed to address the problem of heterogeneity and outliers / extreme values. Double ranked set sampling has been suggested to obtain more reliable samples using the concept of degree of distinguishability. Dealing with heterogeneous and non-normal populations seems to be an area with a dearth of research. This article endeavors to address this research gap by introducing a new, improved ranked set sampling procedure that combines the aforementioned approaches, which is called double extreme-cum-median ranked set sampling. A simulation study for some symmetric and asymmetric probability distributions has been conducted. The results show that the newly proposed scheme performs better than its competitors under perfect and imperfect ranking, but the best performance has been observed for Weibull distribution with perfect ranking. An empirical study utilizing real-life data following skewed distribution was carried out. The real-life data results align well with the Monte Carlo simulation outcomes. Due to its flexible ranking options, the newly proposed technique is suggested for heterogeneous and non-normal populations.
极端累积中位数排序集抽样已被开发出来以解决异质性和异常值/极端值问题。双排序集抽样已被提出，利用可区分度的概念来获得更可靠的样本。处理异质和非正态总体似乎是一个缺乏研究的领域。本文致力于通过引入一种新的、改进的排序集抽样程序来填补这一研究空白，该程序结合了上述方法，称为双极端累积中位数排序集抽样。针对一些对称和不对称概率分布进行了模拟研究。结果表明，新提出的方案在完美排序和不完美排序下的表现均优于其竞争对手，但在完美排序下，威布尔分布的表现最佳。利用服从偏态分布的实际数据进行了实证研究。实际数据结果与蒙特卡罗模拟结果吻合良好。由于其灵活的排序选项，建议将新提出的技术用于异质和非正态总体。
