JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Ratio-Cum-Product Estimators of Population Mean Using Known Population Parameters of Auxiliary Variates
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Ratio-Cum-Product Estimators of Population Mean Using Known Population Parameters of Auxiliary Variates
Tailor, Rajesh; Parmar, Rajesh; Kim, Jong-Min; Tailor, Ritesh;
  PDF(new window)
 Abstract
This paper suggests two ratio-cum-product estimators of finite population mean using known coefficient of variation and co-efficient of kurtosis of auxiliary characters. The bias and mean squared error of the proposed estimators with large sample approximation are derived. It has been shown that the estimators suggested by Upadhyaya and Singh (1999) are particular case of the suggested estimators. Almost ratio-cum product estimators of suggested estimators have also been obtained using Jackknife technique given by Quenouille (1956). An empirical study is also carried out to demonstrate the performance of the suggested estimators.
 Keywords
Ratio-cum-product estimator;population mean;coefficient of variation;coefficient of kurtosis;bias;mean squared error;
 Language
English
 Cited by
1.
New alternatives to ratio estimators of population variance in sample surveys, Applied Mathematics and Computation, 2014, 247, 255  crossref(new windwow)
 References
1.
Cochran, W. G. (1940). The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce, The Journal of Agricultural Science, 30, 262–275.

2.
Murthy, M. N. (1967). Sampling Theory and Methods, Statistical Publishing Society, Calcultta.

3.
Quenouille, M. H. (1956). Notes on bias in estimation, Biometrika, 43, 353–360.

4.
Robson, D. S. (1957). Application of multivariate polykays to the theory of unbiased ratio-type estimation, Journal of the American Statistical Association, 52, 511–522.

5.
Singh, H. P. and Tailor, R. (2005). Estimation of finite population mean using known correlation coefficient between auxiliary characters, Statistica, 65, 407–418.

6.
Singh, M. P. (1967). Ratio-cum-product method of estimation, Metrika, 12, 34–42. crossref(new window)

7.
Sisodia, B. V. S. and Dwivedi, V. K. (1981). A modified ratio estimator using coefficient of variation of auxiliary variable, Journal Indian Society Agricultural Statistics, 33, 13–18.

8.
Upadhyaya, L. N. and Singh, H. P. (1999). Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal, 41, 627–636. crossref(new window)