PL EN


2014 | 15 | 3 | 379-390
Article title

Improved Estimators for Simple Random Sampling and Stratified Random Sampling under Second Order of Approximation

Authors
Content
Title variants
Languages of publication
EN
Abstracts
EN
Singh and Solanki (2012) and Koyuncu (2012) proposed estimators for estimating population meanY. Up to the first order of approximation and under optimum conditions, the minimum mean squared error of both the estimators is equal to the MSE of the regression estimator. In this paper, we have tried to find out the second order biases and mean square errors of these estimators using information on auxiliary variable based on simple random sampling. Finally, we have compared the performance of these estimators with some numerical illustration.
Year
Volume
15
Issue
3
Pages
379-390
Physical description
Contributors
author
  • Banaras Hindu University
References
  • HOSSAIN, M. I., RAHMAN, M. I., TAREQ, M., (2006). Second order biases and mean squared errors of some estimators using auxiliary variable. SSRN.
  • KADILAR, C., CINGI, H., (2006). Ratio estimators in stratified random sampling. Biom. Jour., 45, 2, 218–225.
  • KHOSHNEVISAN, M., SINGH, R., CHAUHAN, P., SAWAN, N., SMARANDACHE, F., (2007). A general family of estimators for estimating population mean using known value of some population parameter(s), Far East Journal of Theoretical Statistics 22, 181–191.
  • KOYUNCU, N., (2012). Efficient estimators of population mean using auxiliary attributes. Appl. Math. Comput.
  • SINGH, D., CHUDHARY, F. S., (1986). Theory and analysis of sample survey designs. Wiley Eastern Limited, New Delhi.
  • SINGH, H. P., SOLANKI, R. S., (2012). Improved estimation of population mean in simple random sampling using information on auxiliary attribute. Appl. Math. Comput., 218, 7798–7812.
  • SINGH, R., CAUHAN, P., SAWAN, N., SMARANDACHE, F., (2007). Auxiliary Information and A Priori Values in Construction of Improved Estimators. Renaissance High Press.
  • SINGH, R., KUMAR, M., (2011). A note on transformations on auxiliary variable in survey sampling. MASA, 6:1, 17–19.
  • SUKHATME, P. V., SUKHATME, B. V., (1970). Sampling theory of surveys with applications. Iowa State University Press, Ames, U.S.A.
  • UPADHYAYA, L. N., SINGH, H. P., (1999). Use of transformed auxiliary variable in estimating the finite population mean. Biom. Jour., 41, 627–636.
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-d1837fb0-72e8-4332-9f81-cbfebaa859d9
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.