Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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A Generalized Ratio-cum-Product Estimator of Finite Population Mean in Stratified Random Sampling

  • Tailor, Rajesh (School of Studies in Statistics, Vikram University) ;
  • Sharma, Balkishan (Aurobindo Institute of Medical Science) ;
  • Kim, Jong-Min (Statistics, Division of Science and Mathematics, University of Minnesota-Morris)
  • Received : 20100700
  • Accepted : 20101100
  • Published : 2011.01.30
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Abstract

This paper suggests a ratio-cum product estimator of a finite population mean using information on the coefficient of variation and the fcoefficient of kurtosis of auxiliary variate in stratified random sampling. Bias and MSE expressions of the suggested estimator are derived up to the first degree of approximation. The suggested estimator has been compared with the combined ratio estimator and several other estimators considered by Kadilar and Cingi (2003). In addition, an empirical study is also provided in support of theoretical findings.

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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. https://doi.org/10.1017/S0021859600048012
  2. Kadilar, C. and Cingi, H. (2003). Ratio estimators in stratified random sampling, Biometrical Journal, 45, 218–225.
  3. Murthy, M. N. (1964). Product method of estimation, The Indian Journal of Statistics, Series A, bf 26 69-74.
  4. Pandey, B. N. and Dubey, V. (1988). Modified product estimator using coefficient of variation of auxiliary variate, Assam Statistical Review, 2, 64-66.
  5. 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. https://doi.org/10.2307/2281700
  6. Singh, H. P. and Espejo, M. R. (2003). On linear regression and ratio-product estimation of a finite population mean, Journal of the Royal Statistical Society Series D. The Statistician, 52, 59-67. https://doi.org/10.1111/1467-9884.00341
  7. Singh, R. and Mangat, N. S. (1996). Elements of Survey Sampling, Kluwer Academic Publishers, Boston.
  8. Singh, H. P. and Tailor, R. (2005). Estimation of finite population mean using known correlation coefficient between auxiliary characters, Statistica, 65, 407-418.
  9. Singh, H. P., Tailor, R., Tailor, R. and Kakran, M. (2004). An improved estimation of population mean using power transformation, Journal Indian Society Agricultural Statistics, 58, 223-230.
  10. 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.
  11. Tailor, R. (2009). A modified ratio-cum-product estimator of finite population mean in stratified random sampling, Data Science Journal, 8, 182–189 (on line).
  12. Tailor R. and Sharma, B. K. (2009). A modified ratio-cum-product estimator of finite population mean using known coefficient of variation and coefficient of kurtosis, Statistics in Transition, 10, 15-24.
  13. Upadhyaya, L. N. and Singh, H. P. (1999). Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal, 41, 627-636. https://doi.org/10.1002/(SICI)1521-4036(199909)41:5<627::AID-BIMJ627>3.0.CO;2-W

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