Information theoretic weighted mean based on truncated ranked set sampling

被引：7

作者：

Al-Nasser A.D. ^{[1
]}

Al-Omari A.I. ^{[2
]}

机构：

[1] Department of Statistics, Faculty of Science, Yarmouk University, Irbid

[2] Department of Mathematics, Faculty of Science, Al Al-Bayt University, PO Box 130040, Mafraq

来源：

Journal of Statistical Theory and Practice | 2015年 / 9卷 / 2期

关键词：

Maximum Entropy; Ranked Set Sampling; Relative Efficiency; Shannon's Entropy;

D O I：

10.1080/15598608.2014.897278

中图分类号：

学科分类号：

摘要：

This article proposes using an information theoretic procedure in order to obtain an unbiased weighted mean estimator for the population mean when the data collection structure is truncated-based ranked set sampling. The performance of the proposed estimator is discussed along with its properties, and the optimal weights are computed by maximizing Shannons entropy. It is found that the weighted truncated-based ranked set sampling estimator is more accurate and more efficient than its unweighted counterpart or the simple random sampling-based estimators. © Grace Scientific Publishing, LLC.

引用

页码：313 / 329

页数：16

共 19 条

[1]

Al-Nasser A., L ranked set sampling: A generalization procedure for robust visual sampling, Commun. Stat. Simulation Comput., 36, pp. 33-43, (2007)

[2]

Al-Nasser A., Bani Mustafa A., Robust extreme ranked set sampling, J. Stat. Comput. Simulation, 79, 7, pp. 859-867, (2009)

[3]

Al-Omari A.I., Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set sampling, Stat. Probability Lett., 82, pp. 1883-1890, (2012)

[4]

Al-Omari A.I., Raqab M., Estimation of the population mean and median using truncation based ranked set samples, J. Stat. Comput. Simulation, 83, 8, pp. 1453-1471, (2013)

[5]

Al-Saleh M.F., Al-Omari A.I., Multistage ranked set sampling, J. Stat. Plan. Inference, 102, pp. 273-286, (2002)

[6]

Balakrishnan N., Li T., Ordered ranked set samples and applications to inference, J. Stat. Plan. Inference, 138, 11, pp. 3512-3524, (2008)

[7]

Chen Z., Bai Z.D., Sinha B.K., Ranked Set Sampling: Theory and Applications, (2004)

[8]

Jaynes E.T., Information and statistical mechanics (I), Phys. Rev., 106, pp. 620-630, (1957)

[9]

Jaynes E.T., Information and statistical mechanics (II), Phys. Rev., 108, pp. 171-190, (1957)

[10]

Jemain A.A., Al-Omari A.I., Multistage median ranked set samples for estimating the population mean, Pakistan J. Stat., 22, 3, pp. 195-207, (2006)

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