Main Article Content
In this paper we have considered the problem of estimating the population mean using auxiliary information in sample surveys. A class of dual to ratio estimators has been defined. Exact expressions for bias and mean squared error of the suggested class of dual to ratio estimator have been obtained. In particular, properties of some members of the proposed class of dual to ratio estimators have been discussed. It has been shown that the proposed class of estimators is more efficient than the sample mean, ratio estimator, dual to ratio estimator and some members of the suggested class of estimators in some realistic conditions. Some numerical illustrations are given in support of the present study.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
- Bandyopadhyay, S. (1980). Improved ratio and product estimator. Sankhaya. 42, 43-49.
- Cochran, W. G. (1977). Sampling techniques. 3rd edition. New York: Wiley.
- Grover, L. K. and Kaur, P. (2011). An improved estimator of the finite population mean in simple random sampling. Model Assisted Statistics and Applications, 6(1), 47-55. DOI: https://doi.org/10.3233/MAS-2011-0163
- Kadilar, C. and Cingi, H. (2003). Ratio estimators in Stratified random sampling. Biometrical Journal. 45(2), 218-225. DOI: https://doi.org/10.1002/bimj.200390007
- Kadilar, C. and Cingi, H. (2004). Ratio estimators in simple random sampling. Applied Mathematics and Computation, 151(2), 893-902. DOI: https://doi.org/10.1016/S0096-3003(03)00803-8
- Murthy, M. N. (1967). Sampling theory and Methods. Statistical Publishing Society, Calcutta, India.
- Pal, S. K., Singh, H. P. and Solanki, R. S. (2019). A new efficient class of estimators of finite population mean in simple random sampling. Afrika Mathematica, 31, 595-607. DOI: https://doi.org/10.1007/s13370-019-00745-5
- Pal, S. K., Singh, H. P., Kumar, S. and Chatterjee, K. (2018). A family of efficient estimators of finite population mean in simple random sampling. Journal of Statistical Computation and Simulation, 88(5), 920-934. DOI: https://doi.org/10.1080/00949655.2017.1408808
- Reddy, V. N. (1978). A study on the use of prior knowledge on certain population parameters in estimation. Sankhaya. C, 40, 29-37.
- Singh, H. P. and Yadav, A. (2018). A two parameter ratio-product-ratio-type exponential estimator for finite population mean in sample surveys. Pakistan Journal of Statistics and Operation Research, 14(2), 215-232. DOI: https://doi.org/10.18187/pjsor.v14i2.1905
- Singh, H. P., Solanki, R. S. and Singh, A. (2015). A generalized ratio-cum-product estimator for estimating the finite population mean in survey sampling. Communications in Statistics-Theory and Methods, 45(1), 158-172. DOI: https://doi.org/10.1080/03610926.2013.827719
- Srivenkataramana, T. (1980). A dual to ratio estimator in sample surveys. Biometrika. 67(1),pp. 199-204. DOI: https://doi.org/10.1093/biomet/67.1.199
- Sukhatme, B. V. and Chand, L. (1977). Multivariate ratio type estimators. Proceedings of American Statistical Association, Social Statistical Section, 927-931.