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On the distribution of the largest part of small integers


Brown, SC, On the distribution of the largest part of small integers, Electronic Journal of Applied Statistical Analysis, 1, (1) EJ ISSN 2070-5948 (2009) [Refereed Article]

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Copyright Statement

© 2009 Universitą del Salento

DOI: doi:10.1285/i20705948v1n1p1


Balanced groups ranked set samples method (BGRSS) is suggested for estimating the population mean with samples of size m=3k where (k=1,2,...). The BGRSS sample mean is considered as an estimator of the population mean. It is found that the BGRSS produces unbiased estimators with smaller variance than the commonly used simple random sampling (SRS) for symmetric distributions considered in this study. For asymmetric distributions that we considered, the BGRSS estimators have a small bias. A real data set is used to illustrate the BGRSS method.

Item Details

Item Type:Refereed Article
Keywords:simple random sampling, ranked set sampling, balanced groups ranked set sampling
Research Division:Mathematical Sciences
Research Group:Statistics
Research Field:Applied statistics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Brown, SC (Dr Simon Brown)
ID Code:61136
Year Published:2009
Web of Science® Times Cited:13
Deposited By:Health Sciences A
Deposited On:2010-02-26
Last Modified:2011-10-03

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