An improved family of estimators of finite population mean based on the auxiliary attribute. (English) Zbl 1410.62016
Summary: Recently, N. Koyuncu [ibid. 218, No. 22, 10900–10905 (2012; Zbl 1459.62015)] proposed an efficient family of estimators for estimation of finite population mean using information on the auxiliary attribute. In this paper, we propose two improved estimators of finite population mean. The biases and mean squared errors of the proposed estimators are derived up to the first order of approximation. It is observed that the first proposed estimator is always better than the first family of estimators adapted by Koyuncu [loc. cit.]. An empirical study is carried out to demonstrate the performance of the proposed estimators.
Keywords:
ratio estimator; exponential estimator; auxiliary attribute; bias; mean squared error; efficiencyCitations:
Zbl 1459.62015References:
| [1] | Abu-Elfattah, A. M.; El-Sherpieny, E. A.; Mohamed, S. M.; Abdou, O. F., Improvement in estimating the population mean in simple random sampling using information on auxiliary attribute, Appl. Math. Comput., 215, 4198-4202, (2010) · Zbl 1381.62018 |
| [2] | Gupta, S.; Shabbir, J., On improvement in estimating the population mean in simple random sampling, J. Appl. Stat., 35, 5, 559-566, (2008) · Zbl 1183.62014 |
| [3] | Koyuncu, N., Efficient estimators of population mean using auxiliary attributes, Appl. Math. Comput., 218, 10900-10905, (2012) · Zbl 1459.62015 |
| [4] | Koyuncu, N.; Kadilar, C., On improvement in estimating population mean in stratified random sampling, J. Appl. Stat., 37, 6, 999-1013, (2010) · Zbl 1511.62020 |
| [5] | Naik, V. D.; Gupta, P. C., A note on estimation of mean with known population of an auxiliary character, J. Indian. Soc. Agric. Stat., 48, 2, 151-158, (1996) |
| [6] | Shabbir, J.; Gupta, S., Estimation of the finite population mean in two phase sampling when auxiliary variables are attributes, Hacet. J. Math. Stat., 39, 1, 121-129, (2010) · Zbl 1194.62012 |
| [7] | Shabbir, J.; Gupta, S., On estimating the finite population mean with known population proportion of an auxiliary variable, Pak. J. Stat., 23, 1, 1-9, (2007) · Zbl 1128.62009 |
| [8] | Sukhatme, P. V.; Sukhatme, B. V., Sampling theory of surveys with application, (1970), Iowa State University Press Ames, USA · Zbl 0239.62008 |
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