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On the distribution of the largest part of small integers
Citation
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
Abstract
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 |
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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 |
Downloads: | 0 |
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