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2012 | 13 | 3 | 519-536

Article title

A Class of Chain Ratio-Cum-Dual to Ratio Type Estimator with Two Auxiliary Characters Under Double Sampling in Sample Surveys

Content

Title variants

Languages of publication

EN

Abstracts

EN
This paper considers a chain ratio-cum-dual to ratio type estimator for estimating population mean of the study variate using two auxiliary variates under double (two-phase) sampling procedure, when the information on another additional auxiliary variate is available along with the main auxiliary variate. The asymptotically optimum estimators (AOEs) in the class are identified in two different cases with their bias and variances. The optimum values of the first phase and second phase sample sizes have been obtained for the fixed cost of survey. Theoretical and empirical studies have also been done to demonstrate the efficiency of the proposed estimator with respect to strategies which utilized the information on two auxiliary variates.

Year

Volume

13

Issue

3

Pages

519-536

Physical description

Contributors

author
  • North Eastern Regional Institute of Science and Technology
author
  • sanjibchy07@gmail.com

References

  • AL-JARARHA, J., AHMED, M. S., 2002. The class of chain estimators for a finite population variance using double sampling. Information and Management Sciences 13(2), 13–18.
  • BOSE, C., 1943. Note on the sampling error in the method of double sampling. Sankhya 6, 330.
  • CHAND, L., 1975. Some ratio type estimator based on two or more auxiliary variables. Unpublished Ph. D. dissertation, Lowa State University, Ames, Lowa.
  • KADILAR, C., CINGI, H., 2003. A study on the chain ratio-type estimator. Hacettepe Journal of Mathematics and Statistics 32, 105-108.
  • KIREGYERA, B., 1984. Regression type estimators using two auxiliary variables and the model of double sampling from finite population. Metrika 31, 215-226.
  • KUMAR, M., BAHL, S., 2006. Class of dual to ratio estimators for double sampling. Statistical Papers 47, 319-326.
  • PRADHAN, B. K., 2005. A Chain Regression Estimator in Two Phase Sampling Using Multi-auxiliary Information. Bulletin of the Malaysian Mathematical Sciences Society (2) 28(1), 81–86.
  • SHARMA, B., TAILOR, R., 2010. A New Ratio-Cum-Dual to Ratio Estimator of Finite Population Mean in Simple Random Sampling. Global Journal of Science Frontier Research 10(1), 27-31.
  • Singh, H. P., Espejo, M. R., 2007. Double sampling ratio-product estimator of a finite population mean in sampling surveys. Journal of Applied Statistics 34(1), 71-85.
  • SINGH, H. P., MATHUR, N., CHANDRA, P., 2009. A chain-type estimator for population variance using auxiliary variables in two-phase sampling. Statistics in Transition-new series 10(1), 75-84.
  • SINGH, S., SINGH, H. P., UPADHYAYA, L. N., 2006. Chain ratio and regression type estimators for median estimation in survey sampling. Statistical Papers 48, 23-46.
  • SINGH, V. K., SINGH, B. K., SINGH, G. N., 1993. An efficient class of dual to ratio estimators using two auxiliary characteristics. Journal of Scientific Research 43, 219-228.
  • SINGH, V. K., SINGH, G. N., SHUKLA, D., 1994. A class of chain ratio type estimators with two auxiliary variables under double sampling scheme. Sankhya: The Indian Journal of Statistics 56, Series B 2, 209-221.
  • SRIVENKATARAMANA, T., 1980. A dual to ratio estimator in sample surveys. Biometrika 67 (1), 199-204.
  • SRIVASTAVA, S. K., JHAJJ, H. S., 1980. A class of estimators using auxiliary information for estimating finite population variance. Sankhya 42, 87–96.
  • SRIVASTAVA, S. R., KHARE, B. B., SRIVASTAVA, S. R., 1990. A Generalised Chain Ratio Estimator for Mean of Finite Population. Journal of Indian Society of Agricultural Statistics 42(I), 108-117.
  • SUKHATME, B. V., CHAND, L., 1977. Multivariate ratio-type estimators, Proceedings, Social Statistics section, American Statistical Association 927-931.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-37f91e80-17c3-4c49-a2c4-724f6958636b
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