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A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE

Year 2011, Volume: 40 Issue: 4, 589 - 599, 01.04.2011

Abstract

In the present paper, we have proposed a class of ratio – type estimators for estimating the population mean Y¯ of the study variate y under double sampling in the presence of non-response, where information on the auxiliary variable is not known. For an appropriate weight a and a good range of α values, it is found that the proposed class of estimators is more efficient than some estimators which are obtained by applying congenial values of a and α. Comparison of the proposed class of estimators with other estimators is also worked out. Also the good range of α is obtained empirically for different values of a and k.

References

  • Cochran, W. G. Sampling Techniques (3rd Edition, John Wiley & Sons, New York, 1977).
  • Hansen, M. H. and Hurwitz, W. N. The problem of non-response in sample surveys, J. Amer. Statist. Assoc. 41, 517–529, 1946.
  • Khare, B. B. and Srivastava, S. Estimation of population mean using auxiliary character in presence of non-response, Nat. Acad. Sc. Letters, India, 16 (3), 111–114, 1993.
  • Khare, B. B. and Srivastava, S. Study of conventional and alternative two-phase sampling ratio, product and regression estimators in presence of non-response, Proc. Nat. Acad. Sci. India 65(A) (II), 195–203, 1995.
  • Khare, B. B. and Srivastava, S. Transformed ratio type estimators for the population mean in the presence of non-response. Comm. Statist. - Theory Methods 26 (7), 1779–1791, 1997.
  • Lewisi, P. A., Jones, P. W., Polak, J.W. and Tillotson, H. T. The problem of conversion in method comparison studies, Appl. Statist. 40 (1), 105–112, 1991.
  • Okafor, F. C. and Lee, H. Double sampling for ratio and regression estimation with sub sampling the non-respondent. Survey Methodology 26, 183–188, 2000.
  • Rao, P. S. R. S. Ratio Estimation with sub sampling the non-respondents, Survey Methodology 12 (2), 217–230, 1986.
  • Rao, P. S. R. S. Ratio and regression estimates with sub-sampling the non respondents, Paper presented at a special contributed session of the International Statistical Association Meetings, September, Tokyo, Japan, 2–16, 1987.
  • Singh, H. P. and Kumar, S. Estimation of mean in presence of non-response using two phase sampling scheme, Statistical Papers, DOI 10.1007/s00362-008040-5, 2008.
  • Singh, H. P. and Kumar, S. A regression approach to the estimation of finite population mean in presence of non-response, Aust. and New Zeal. J. Statist. 50 (4), 395–408, 2008.
  • Sisodia, B. V. S. and Dwivedi, V. K. A class of ratio cum product-type estimator in double sampling, Biom. J. 24(4), 419-424, 1982.
  • Tabasum, R. and Khan, I. A. Double sampling for ratio estimation with non response, J. Soc. Agril. Statist. 58 (3), 300–306, 2004.
  • Tabasum, R. and Khan, I. A. Double sampling ratio estimator for the population mean in presence of non-response, Assam Statist. Review 20 (1), 73–83, 2006.
  • Tripathi, T. P. and Khare, B. B. Estimation of mean vector in presence of non response, Commun. Statist.- Theory- Math. 26 (9), 2255–2269, 1997.

A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE

Year 2011, Volume: 40 Issue: 4, 589 - 599, 01.04.2011

Abstract

References

  • Cochran, W. G. Sampling Techniques (3rd Edition, John Wiley & Sons, New York, 1977).
  • Hansen, M. H. and Hurwitz, W. N. The problem of non-response in sample surveys, J. Amer. Statist. Assoc. 41, 517–529, 1946.
  • Khare, B. B. and Srivastava, S. Estimation of population mean using auxiliary character in presence of non-response, Nat. Acad. Sc. Letters, India, 16 (3), 111–114, 1993.
  • Khare, B. B. and Srivastava, S. Study of conventional and alternative two-phase sampling ratio, product and regression estimators in presence of non-response, Proc. Nat. Acad. Sci. India 65(A) (II), 195–203, 1995.
  • Khare, B. B. and Srivastava, S. Transformed ratio type estimators for the population mean in the presence of non-response. Comm. Statist. - Theory Methods 26 (7), 1779–1791, 1997.
  • Lewisi, P. A., Jones, P. W., Polak, J.W. and Tillotson, H. T. The problem of conversion in method comparison studies, Appl. Statist. 40 (1), 105–112, 1991.
  • Okafor, F. C. and Lee, H. Double sampling for ratio and regression estimation with sub sampling the non-respondent. Survey Methodology 26, 183–188, 2000.
  • Rao, P. S. R. S. Ratio Estimation with sub sampling the non-respondents, Survey Methodology 12 (2), 217–230, 1986.
  • Rao, P. S. R. S. Ratio and regression estimates with sub-sampling the non respondents, Paper presented at a special contributed session of the International Statistical Association Meetings, September, Tokyo, Japan, 2–16, 1987.
  • Singh, H. P. and Kumar, S. Estimation of mean in presence of non-response using two phase sampling scheme, Statistical Papers, DOI 10.1007/s00362-008040-5, 2008.
  • Singh, H. P. and Kumar, S. A regression approach to the estimation of finite population mean in presence of non-response, Aust. and New Zeal. J. Statist. 50 (4), 395–408, 2008.
  • Sisodia, B. V. S. and Dwivedi, V. K. A class of ratio cum product-type estimator in double sampling, Biom. J. 24(4), 419-424, 1982.
  • Tabasum, R. and Khan, I. A. Double sampling for ratio estimation with non response, J. Soc. Agril. Statist. 58 (3), 300–306, 2004.
  • Tabasum, R. and Khan, I. A. Double sampling ratio estimator for the population mean in presence of non-response, Assam Statist. Review 20 (1), 73–83, 2006.
  • Tripathi, T. P. and Khare, B. B. Estimation of mean vector in presence of non response, Commun. Statist.- Theory- Math. 26 (9), 2255–2269, 1997.
There are 15 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

Sunil Kumar This is me

H.p. Singh This is me

- - This is me

Eep Bhougal This is me

Rahul Gupta This is me

Publication Date April 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 4

Cite

APA Kumar, S., Singh, H., -, .-., Bhougal, E., et al. (2011). A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE. Hacettepe Journal of Mathematics and Statistics, 40(4), 589-599.
AMA Kumar S, Singh H, -, Bhougal E, Gupta R. A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE. Hacettepe Journal of Mathematics and Statistics. April 2011;40(4):589-599.
Chicago Kumar, Sunil, H.p. Singh, - -, Eep Bhougal, and Rahul Gupta. “A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE”. Hacettepe Journal of Mathematics and Statistics 40, no. 4 (April 2011): 589-99.
EndNote Kumar S, Singh H, - -, Bhougal E, Gupta R (April 1, 2011) A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE. Hacettepe Journal of Mathematics and Statistics 40 4 589–599.
IEEE S. Kumar, H. Singh, .-. -, E. Bhougal, and R. Gupta, “A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 4, pp. 589–599, 2011.
ISNAD Kumar, Sunil et al. “A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE”. Hacettepe Journal of Mathematics and Statistics 40/4 (April 2011), 589-599.
JAMA Kumar S, Singh H, - -, Bhougal E, Gupta R. A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE. Hacettepe Journal of Mathematics and Statistics. 2011;40:589–599.
MLA Kumar, Sunil et al. “A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 4, 2011, pp. 589-9.
Vancouver Kumar S, Singh H, - -, Bhougal E, Gupta R. A CLASS OF RATIO-CUM-PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING IN THE PRESENCE OF NON-RESPONSE. Hacettepe Journal of Mathematics and Statistics. 2011;40(4):589-9.