Investigation of Some Estimators Via Taylor Series Approach and an Application
American Journal of Theoretical and Applied Statistics
Volume 3, Issue 5, September 2014, Pages: 141-147
Received: Sep. 1, 2014; Accepted: Sep. 12, 2014; Published: Sep. 20, 2014
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Authors
Tolga Zaman, Department of Statistics, Faculty of Science and Arts, OndokuzMayıs University, Kurupelit, Turkey
Vedat Saglam, Department of Statistics, Faculty of Science and Arts, OndokuzMayıs University, Kurupelit, Turkey
Murat Sagir, Department of Statistics, Faculty of Science and Arts, OndokuzMayıs University, Kurupelit, Turkey
Erdinc Yucesoy, Department of Statistics, Faculty of Science and Arts, OndokuzMayıs University, Kurupelit, Turkey
Mujgan Zobu, Department of Statistics, Faculty of Science and Arts, Amasya University, Turkey
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Abstract
In this study, the use of taylor series method in the calculation of some means with single auxiliary variable developed in a simple random sampling and mean square error unit ratio estimators having certain properties was investigated. An application was performed in respect thereof. The study population (mass) included 111 secondary schools from 18 districts of Trabzon province. Auxiliary variable (x) was taken as the number of students whereas the main variable (y) was taken as the number of teachers. Sample size was calculated as 45 for unit ratio that has certain features. Afterwards, theoretically proposed mean and units ratio estimators having certain properties were compared numerically. Random sampling was performed using the SPSS 20 program thus giving an equal chance to the units sampled and variability in the population was protected.
Keywords
Simple Random Sampling, Taylor Series Approach, Mean, Proportional Estimators, Mean Square Error, Units Ratio having Certain Features, Ancillary Information
To cite this article
Tolga Zaman, Vedat Saglam, Murat Sagir, Erdinc Yucesoy, Mujgan Zobu, Investigation of Some Estimators Via Taylor Series Approach and an Application, American Journal of Theoretical and Applied Statistics. Vol. 3, No. 5, 2014, pp. 141-147. doi: 10.11648/j.ajtas.20140305.14
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