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Stratified Double Quartile Ranked Set Samples

Stratified Double Quartile Ranked Set Samples
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摘要 The procedure of stratified double quartile ranked set sampling （SDQRSS） method is introduced to estimate the population mean. The SDQRSS is compared with the simple random sampling （SRS）, stratified ranked set sampling （SRSS） and stratified simple random sampling （SSRS）. It is shown that SDQRSS estimator is an unbiased of the population mean and more efficient than SRS, SRSS and SSRS for symmetric and asymmetric distributions. In addition, by SDQRSS we can increase the efficiency of mean estimator for specific value of the sample size.
作者 Mahmoud Ibrahim Syam Kamarulzaman Ibrahim Amer Ibrahim Al-Omari]
机构地区 School of Mathematical Sciences Al al-Bayt University
出处 《Journal of Mathematics and System Science》 2014年第1期49-55,共7页 数学和系统科学（英文版）
关键词 Ranked set sampling quartile ranked set sampling double quartile ranked set sampling stratified double quartile rankedset sampling. 样本集 简单随机抽样 非对称分布 SSRS 抽样样本 估计量 总体均值 分位数
分类号 O212.2 [理学—概率论与数理统计] TP183 [自动化与计算机技术—控制理论与控制工程]
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参考文献10

  • 1Al-Saleh, M.F. and Al-Kadiri, M. (2000). Double ranked set sampling. Statistics Probability Letters, 48, 205-212.
  • 2AI-Saleh, M.F. and Al-Omari, A.I. (2002). Multistage ranked set sampling. Journal of Statistical Planning and Inference, 102, 273-286.
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  • 7Muttlak, H.A. (2003). Investigating the use of quartile ranked set samples for estimating the population mean. Journal of Applied Mathematics and Computation, 146, 437- 443.
  • 8Ohyama, T., Doi, 1., and Yanagawa, T. (2008). Estimating population characteristics by incorporating prior values in stratified random sampling/ranked set sampling. Journal of Statistical Planning and Inference, 138, 4021-4032.
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  • 10Takahasi K. and Wakirnoto, K. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20, 1-3\.
Journal of Mathematics and System Science
2014年 第1期

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