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Estimators Proposed by Geometric Mean, Harmonic Mean and Quadratic Mean
Science Journal of Applied Mathematics and Statistics
Volume 4, Issue 3, June 2016, Pages: 115-118
Received: May 16, 2016; Accepted: May 26, 2016; Published: Jun. 7, 2016
Authors
Vedat Sağlam, Department of Statistics, Faculty of Science and Arts, Ondokuz Mayıs University, Kurupelit, Turkey
Tolga Zaman, Department of Statistics, Faculty of Science and Arts, Ondokuz Mayıs University, Kurupelit, Turkey
Erdinç Yücesoy, Department of Statistics, Faculty of Science and Arts, Ondokuz Mayıs University, Kurupelit, Turkey
Murat Sağır, Department of Statistics, Faculty of Science and Arts, Ondokuz Mayıs University, Kurupelit, Turkey
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Abstract
In the studies in literature up to date arithmetic population mean of auxiliary variable is used to obtain the proportional estimators. In this paper geometric mean, harmonic mean and quadratic mean is used as well as arithmetic population mean. Using geometric mean, harmonic mean and quadratic mean do not affect the variance of ratio estimator (). However new approaches are obtained for the estimation and variance of the dependent variable when these means are used as well as arithmetic population mean. In the application, the mean number of teaching staff of the departments in Ondokuz Mayıs University is estimated by auxiliary variable which is the number of students in the departments. In addition the variances of proportional estimation method are obtained and interpreted by using population arithmetic mean, geometric mean, harmonic and quadratic mean.
Keywords
Proportional Estimation, Geometric Mean, Harmonic Mean, Quadratic Mean, Inequalities
Vedat Sağlam, Tolga Zaman, Erdinç Yücesoy, Murat Sağır, Estimators Proposed by Geometric Mean, Harmonic Mean and Quadratic Mean, Science Journal of Applied Mathematics and Statistics. Vol. 4, No. 3, 2016, pp. 115-118. doi: 10.11648/j.sjams.20160403.15
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