Research Article

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

Volume: 40 Number: 4 April 1, 2011
  • Sunil Kumar
  • H.p. Singh
  • - -
  • Eep Bhougal
  • Rahul Gupta
EN TR

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

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.

Keywords

References

  1. Cochran, W. G. Sampling Techniques (3rd Edition, John Wiley & Sons, New York, 1977).
  2. Hansen, M. H. and Hurwitz, W. N. The problem of non-response in sample surveys, J. Amer. Statist. Assoc. 41, 517–529, 1946.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Rao, P. S. R. S. Ratio Estimation with sub sampling the non-respondents, Survey Methodology 12 (2), 217–230, 1986.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Sunil Kumar This is me

H.p. Singh This is me

Eep Bhougal This is me

Rahul Gupta This is me

Publication Date

April 1, 2011

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2011 Volume: 40 Number: 4

APA
Kumar, S., Singh, H., -, -, Bhougal, E., & Gupta, R. (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. https://izlik.org/JA23UT98CT
AMA
1.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):589-599. https://izlik.org/JA23UT98CT
Chicago
Kumar, Sunil, H.p. Singh, - -, Eep Bhougal, and Rahul Gupta. 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): 589-99. https://izlik.org/JA23UT98CT.
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
[1]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, Apr. 2011, [Online]. Available: https://izlik.org/JA23UT98CT
ISNAD
Kumar, Sunil - Singh, H.p. - -, - - Bhougal, Eep - Gupta, Rahul. “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 1, 2011): 589-599. https://izlik.org/JA23UT98CT.
JAMA
1.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, Apr. 2011, pp. 589-9, https://izlik.org/JA23UT98CT.
Vancouver
1.Sunil Kumar, H.p. Singh, - -, Eep Bhougal, 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 [Internet]. 2011 Apr. 1;40(4):589-9. Available from: https://izlik.org/JA23UT98CT