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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
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
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
References
[1]
Pawliszyn, Janusz., 2012. Comprehensive Sampling and Sample Preparation, 1-30.
[2]
Cochran, W. G., 1977. Sampling Techniques, John Wiley and Sons, New-York.
[3]
Singh, H. P.,Tailor, R., 2003. Use of Known Correlation Coefficient in Estimating the Finite Population Mean, Statistics in Transition, 6, 555-560.
[4]
Ray, S. K.,Singh, R. K., 1981. Difference-cum-ratio type estimators, J. Ind. Statist. Assoc., 19, 147-151.
[5]
Kadılar, C., Çıngı H., 2004. Ratio Estimators in Simple Random Sampling, Applied Mathematics and Computation, 151, 893-902.
[6]
Kadılar, C., Çıngı, H., 2006. New Ratio Estimators Using Correlation Coefficient, İnterstat 4, pp, 1-11.
[7]
Naik, 6., V. D., Gupta, P. C., 1996. A note on estimation of mean with known population proportion of an auxiliary character. Jour. Ind. Soc. Agr. Stat., 48(2), 151-158.
[8]
Singh, R., Chauhan, P., Sawan, N., Smarandache, F., 2008. Ratio Estimators in Simple Random Sampling Using Information on Auxiliary Attribute, Pak. j. stat. oper. res. Vol.IV No. 1 2008.
[9]
Number of teachers and students in Secondary Schools, 2012. Trabzon Provincial Directorate of National Education.
[10]
Çıngı, H., 2009. Örnekleme Kuramı, H.Ü. Fen Fakültesi Basımevi, Beytepe.
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