Cumulative Tsallis entropy under maximum (minimum) ranked set sampling with unequal samples using the quantile function

被引：0

作者：

Raju, David Chris ^{[1
]}

Sunoj, S. M. ^{[1
]}

Rajesh, G. ^{[1
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Stat, Cochin 682022, Kerala, India

来源：

RICERCHE DI MATEMATICA | 2022年 / 74卷 / 2期

关键词：

Cumulative Tsallis entropy; Quantile function; Ranked set sampling; Reliability measures;

D O I：

10.1007/s11587-022-00739-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the information content and properties of maximum (minimum) ranked set sampling with unequal samples (MaxRSSU (MinRSSU)) using quantile-based Tsallis entropy and its cumulative version. We compare the uncertainty and information content of MaxRSSU (MinRSSU) with simple random sampling (SRS) and ranked set sampling (RSS) schemes. We obtain useful characterization results in terms of quantile-based-cumulative Tsallis entropy under MaxRSSU and MinRSSU schemes. We also discuss an application of quantile-based cumulative Tsallis entropy under MaxRSSU in obtaining the optimum sample size.

引用

页码：767 / 789

页数：23

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