EN
New ranked set sampling for estimating the population mean and variance
Abstract
The purpose of this study is to suggest a new modification of the usual
ranked set sampling (RSS) method, namely; neoteric ranked set sampling (NRSS) for estimating the population mean and variance. The
performances of the empirical mean and variance estimators based on
NRSS are compared with their counterparts in ranked set sampling and
simple random sampling (SRS) via Monte Carlo simulation. Simulation results indicate that the NRSS estimators perform much better
than their counterparts using RSS and SRS designs when the ranking
is perfect. When the ranking is imperfect, the NRSS estimators are
still superior to their counterparts in ranked set sampling and simple
random sampling methods. These findings show that the NRSS provides a uniform improvement over RSS without any additional costs.
Finally, an illustrative example of a real data is provided to show the
application of the new method in practice.
Keywords
References
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Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
December 1, 2016
Submission Date
April 1, 2015
Acceptance Date
September 29, 2015
Published in Issue
Year 2016 Volume: 45 Number: 6
APA
Zamanzade, E., & Al-omari, A. İ. (2016). New ranked set sampling for estimating the population mean and variance. Hacettepe Journal of Mathematics and Statistics, 45(6), 1891-1905. https://izlik.org/JA25NP99KK
AMA
1.Zamanzade E, Al-omari Aİ. New ranked set sampling for estimating the population mean and variance. Hacettepe Journal of Mathematics and Statistics. 2016;45(6):1891-1905. https://izlik.org/JA25NP99KK
Chicago
Zamanzade, Ehsan, and Amer İbrahim Al-omari. 2016. “New Ranked Set Sampling for Estimating the Population Mean and Variance”. Hacettepe Journal of Mathematics and Statistics 45 (6): 1891-1905. https://izlik.org/JA25NP99KK.
EndNote
Zamanzade E, Al-omari Aİ (December 1, 2016) New ranked set sampling for estimating the population mean and variance. Hacettepe Journal of Mathematics and Statistics 45 6 1891–1905.
IEEE
[1]E. Zamanzade and A. İ. Al-omari, “New ranked set sampling for estimating the population mean and variance”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, pp. 1891–1905, Dec. 2016, [Online]. Available: https://izlik.org/JA25NP99KK
ISNAD
Zamanzade, Ehsan - Al-omari, Amer İbrahim. “New Ranked Set Sampling for Estimating the Population Mean and Variance”. Hacettepe Journal of Mathematics and Statistics 45/6 (December 1, 2016): 1891-1905. https://izlik.org/JA25NP99KK.
JAMA
1.Zamanzade E, Al-omari Aİ. New ranked set sampling for estimating the population mean and variance. Hacettepe Journal of Mathematics and Statistics. 2016;45:1891–1905.
MLA
Zamanzade, Ehsan, and Amer İbrahim Al-omari. “New Ranked Set Sampling for Estimating the Population Mean and Variance”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, Dec. 2016, pp. 1891-05, https://izlik.org/JA25NP99KK.
Vancouver
1.Ehsan Zamanzade, Amer İbrahim Al-omari. New ranked set sampling for estimating the population mean and variance. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Dec. 1;45(6):1891-905. Available from: https://izlik.org/JA25NP99KK