Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Generalized Multi-Phase Multivariate Ratio Estimators for Partial Information Case Using Multi-Auxiliary Vatiables

  • Ahmad, Zahoor (Department of Statistics, University of Gujrat) ;
  • Hanif, Muhammad (Lahore University of Management Sciences(LUMS)) ;
  • Ahmad, Munir (National College of Business Administration and Economics(NCBAE))
  • Received : 20091100
  • Accepted : 20100500
  • Published : 2010.09.30
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Abstract

In this paper we propose generalized multi-phase multivariate ratio estimators in the presence of multiauxiliary variables for estimating population mean vector of variables of interest. Some special cases have been deduced from the suggested estimator in the form of remarks. The expressions for mean square errors of proposed estimators have also been derived. The suggested estimators are theoretically compared and an empirical study has also been conducted.

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References

  1. Ahmed, M. S. (2003). General Chain estimators under multi phase sampling, Journal of Applied Statistical Science, 12, 243–250.
  2. Arora, S. and Lal, B. (1989). New Mathematical Statistics, Satya Prakashan, New Delhi.
  3. Ceccon, C. and Diana, G. (1996). AClassi di stimatori di tipo rapporto in presenza di piu variabili ausiliarie, Proceedings of Italian Statistical Society, XXXVIII Scientific Meeting, Rimini, 9–13 April 1996, 119–126.
  4. Hanif, M., Ahmad, Z. and Ahmad, M. (2009). Generalized multivariate ratio estimators using multiauxiliary variables for multi-phase sampling, Pakistan Journal of Statistics, 25, 615–629.
  5. John, S. (1969). On multivariate ratio and product estimators, Biometrika, 56, 533–536. https://doi.org/10.1093/biomet/56.3.533
  6. Naik, V. D. and Gupta, P. C. (1991). A general class of estimators for estimating population mean using auxiliary information, Metrika, 38, 11–17. https://doi.org/10.1007/BF02613594
  7. Olkin, I. (1958). Multivariate ratio estimation for finite populations, Biometrika, 45, 154–165. https://doi.org/10.1093/biomet/45.1-2.154
  8. Perri, P. F. (2005). Combining two auxiliary variables in ratio-cum-product type estimators, Proceedings of Italian Statistical Society, Intermediate Meeting on Statistics and Environment, 21–23 September 2005, 193–196.
  9. Samiuddin, M. and Hanif, M. (2007). Estimation of population mean in single and two phase sampling with or without additional information, Pakistan Journal of Statistics, 23, 99–118.
  10. Sen, A. R. (1972). Successive sampling with p(p${\geq}$1) auxiliary variables, The Annals of Mathematical Statistics, 43, 2031–2034. https://doi.org/10.1214/aoms/1177690878
  11. Singh, H. P. and Namjoshi, U. D. (1988). A class of multivariate regression estimators in two-phase sampling, Assam Statistical Review, 2, 1–7.
  12. Singh, M. P. (1965). On the estimation of ratio and product of population parameters, Sankhya Series C, 27, 321–328.
  13. Singh, M. P. (1967a). Multivariate product method of estimation for finite populations, Journal of the Indian Society of Agricultural Statistics, 31, 375–378.
  14. Singh, M. P. (1967b). Ratio cum product method of estimation, Metrika, 12, 34–43. https://doi.org/10.1007/BF02613481
  15. Srivastava, S. K. (1971). A generalized estimator for the mean of a finite population using multiauxiliary information, Journal of the American Statistical Association, 66, 404–407.
  16. Swain, A. K. P. C. (2000). Current Developments in Survey Sampling, Om Prakash, Bhubaneswar, India.
  17. Tripathi, T. P. (1989). Optimum estimation of mean vector for dynamic population, Proceeding of International Symposium on Optimization and Statistics, held at AMU. Aligarh.
  18. Tripathi, T. P. and Khattree, R. (1989). Simultaneous estimation of several means using multivariate auxiliary information, Tech. Report No. 13/89, Stat/Math, ISI, Culcatta.

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  1. An Improved Class of Estimators for the General Population Parameters Using Auxiliary Information vol.44, pp.20, 2015, https://doi.org/10.1080/03610926.2013.784999