Confidence interval estimation for the population coefficient of variation using ranked set sampling: a simulation study

被引:21
作者
Albatineh, Ahmed N. [1 ]
Kibria, B. M. Golam [2 ]
Wilcox, Meredith L. [3 ]
Zogheib, Bashar [4 ]
机构
[1] Florida Int Univ, Dept Biostat, Miami, FL 33199 USA
[2] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA
[3] Florida Int Univ, Dept Epidemiol, Miami, FL 33199 USA
[4] Amer Univ Kuwait, Dept Math & Nat Sci, Safat 13034, Kuwait
关键词
ranked set sample; simple random sample; confidence interval; coverage probability; coefficient of variation; PROPORTION; STATISTICS; VARIANCE;
D O I
10.1080/02664763.2013.847405
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, an evaluation of the performance of several confidence interval estimators of the population coefficient of variation () using ranked set sampling compared to simple random sampling is performed. Two performance measures are used to assess the confidence intervals for , namely: width and coverage probabilities. Simulated data were generated from normal, log-normal, skew normal, Gamma, and Weibull distributions with specified population parameters so that the same values of are obtained for each distribution, with sample sizes n=15, 20, 25, 50, 100. A real data example representing birth weight of 189 newborns is used for illustration and performance comparison.
引用
收藏
页码:733 / 751
页数:19
相关论文
共 24 条
[1]   Asymptotics of the sample coefficient of variation and the sample dispersion [J].
Albrecher, H. ;
Ladoucette, Sophie A. ;
Teugels, Jef L. .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (02) :358-368
[2]  
[Anonymous], FPLRP609 USDA FOR SE
[3]   RANKED SET SAMPLING THEORY WITH ORDER STATISTICS BACKGROUND [J].
DELL, TR ;
CLUTTER, JL .
BIOMETRICS, 1972, 28 (02) :545-+
[4]  
Gulhar M., 2012, SORT, V36, P46
[5]  
HALLS LK, 1966, FOREST SCI, V12, P22
[6]  
Hosmer W., 2000, Applied Logistic Regression, VSecond
[7]  
Kang K., 1986, TECHNICAL REPORT
[8]   A new ranked set sample estimator of variance [J].
MacEachern, SN ;
Öztürk, Ö ;
Wolfe, DA ;
Stark, GV .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2002, 64 :177-188
[9]   Two new confidence intervals for the coefficient of variation in a normal distribution [J].
Mahmoudvand, Rahim ;
Hassani, Hossein .
JOURNAL OF APPLIED STATISTICS, 2009, 36 (04) :429-442
[10]   A METHOD FOR UNBIASED SELECTIVE SAMPLING, USING RANKED SETS [J].
MCINTYRE, GA .
AUSTRALIAN JOURNAL OF AGRICULTURAL RESEARCH, 1952, 3 (04) :385-390