Communications for Statistical Applications and Methods

  • 제18권4호
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  • Pages.537-548
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  • 2011
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Estimation of the Population Mean in Presence of Non-Response

  • Kumar, Sunil (Department of Statistics, University of Jammu) ;
  • Bhougal, Sandeep (School of Mathematics, Shri Mata Vaishno Devi University)
  • 투고 : 20100700
  • 심사 : 20110500
  • 발행 : 2011.07.31
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초록

In this paper following Singh et al. (2008), we propose a modified ratio-product type exponential estimator to estimate the finite population mean $\={Y}$ of the study variable y in presence of non-response in different situations viz. (i) population mean $\={X}$ is known, and (ii) population mean $\={X}$ is unknown. The expressions of biases and mean squared error of the proposed estimators have been obtained under large sample approximation using single as well as double sampling. Some realistic conditions have been obtained under which the proposed estimator is more efficient than usual unbiased estimators, ratio estimators, product estimators and exponential ratio and product estimators reported by Rao (1986) and Singh et al. (2010) are found to be more efficient in many situations.

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참고문헌

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  4. Khare, B. B. and Srivastava, S. (1995). Study of conventional and alternative two phase sampling ratio, product and regression estimators in presence of non-response, Proceedings of the National Academy of Sciences, India, 65(A), 195-203.
  5. Khare, B. B. and Srivastava, S. (1997). Transformed ratio type estimators for the population mean in the presence of non-response, Communications in Statistics - Theory and Methods, 26, 1779-1791. https://doi.org/10.1080/03610929708832012
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  9. Rao, P. S. R. S. (1987). Ratio and regression estimates with sub sampling the non- respondents. Paper presented at a special contributed session of the International Statistical Association Meeting, Sept., 2-16, Tokyo, Japan.
  10. Singh, D. and Choudhary, F. S. (1986). Theory and Analysis of Sample Survey Designs,Wiley Eastern Limited, New Delhi, p.108.
  11. Singh, H. P. and Kumar, S. (2008). A regression approach to the estimation of finite population mean in presence of non-response, Australian and New Zealand Journal of Statistics, 50, 395-408. https://doi.org/10.1111/j.1467-842X.2008.00525.x
  12. Singh, H. P. and Kumar, S. (2009a). A general class of estimators of the population mean in survey sampling using auxiliary information with sub sampling the non-respondents, The Korean Journal of Applied Statistics, 22, 387-402. https://doi.org/10.5351/KJAS.2009.22.2.387
  13. Singh, H. P. and Kumar, S. (2009b). A general procedure of estimating the population mean in the presence of non-response under double sampling using auxiliary information, SORT, 33, 71-84.
  14. Singh, H. P. and Kumar, S. (2010). Estimation of mean in presence of non-response using two phase sampling scheme, Statistical Papers, 50, 559-582.
  15. Singh, H. P., Kumar, S. and Kozak, M. (2010). Improved estimation of finite population mean when sub-sampling is employed to deal with non-response, Communication in Statistics - Theory and Methods, 39, 791-802. https://doi.org/10.1080/03610920902796056
  16. Singh, H. P. and Ruiz Espejo, M. (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
  17. Singh, R., Chauhan, P. and Sawan, N. (2008). On linear combination of ratio and product type exponential estimator for estimating the finite population mean, Statistics in Transition - New Series, 9, 105-115.
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  20. Tabasum, R. and Khan, I. A. (2006). Double sampling ratio estimator for the population mean in presence of non-response, Assam Statistical Review, 20, 73-83.

피인용 문헌

  1. Improved Exponential Estimator for Estimating the Population Mean in the Presence of Non-Response vol.20, pp.5, 2013, https://doi.org/10.5351/CSAM.2013.20.5.357
  2. Improved estimation of population mean in presence of nonresponse and measurement error vol.10, pp.4, 2016, https://doi.org/10.1080/15598608.2016.1216488
  3. Improved two phase sampling exponential ratio and product type estimators for population mean of study character in the presence of non response pp.1532-415X, 2018, https://doi.org/10.1080/03610926.2018.1465082