Modified chain regression type estimator for population mean in the presence of non- response

  • Authors

    • Brij Khare Dept. of Statistics BHU Varanasi UP
    • Habib Rehman Department of Community Medicine, R D Gardi medical College, Ujjain, MP- India-456006
    2015-11-27
    https://doi.org/10.14419/ijaes.v3i2.5491
  • Population Mean, Study Variable, Coefficient of Variation, Non- Response.

  • Abstract

    A modified chain regression type estimator for  population mean in the presence of non-response have been proposed replacing Hansen & Hurwitz (1946) estimator for population mean by Searls (1964) type improved estimator and using Hansen & Hurwitz (1946) estimator for  based on available information comparing to the study character  in the second phase sample. The expressions for MSE for fixed sample size   and also fixed cost   have been obtained. The empirical studies show that the proposed estimator is more efficient than the relevant estimators in the case of fixed sample size as well as for fixed cost.

  • References

    1. [1] Das, A. K., Tripathi, T. P. (1980). Sampling strategies for population mean when the coefficient of variation of an auxiliary character is known. Sankhya C-42: 76-86.

      [2] Hansen, M. H. and Hurwitz, W. N. (1946). The problem of non-response in sample surveys. J. Amer. Stat. Assoc., 41, 517-529.http://dx.doi.org/10.1080/01621459.1946.10501894.

      [3] Khare, B. B. and Srivastava, S. (1993). Estimation of population mean using auxiliary character in presence of non-response. Nat. Acad. Sci. Latt, India, 16(3), 111-114.

      [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. Proc. Nat. Acad. Sci., India, Sect. a 65(a) II, 195-203.

      [5] Khare, B. B. and Sinha, R.R. (2007).Estimation of the ratio of the two population means using multi- auxiliary characters in presence of non-response. In “Statistical techniques in life testing, reliability, sampling theory and quality control†edited by B.N.Pandey. Narosa publishing house, New Delhi, 163-171.

      [6] Khare, B.B. and Kumar, S. (2009). Utilization of coefficient of variation in the estimation of population mean using auxiliary character in the presence of non-response. Nat. Acad. Sci. Letters, India, Vol. 32, No. (7 & 8), 235-241.

      [7] Khare, B. B. and Kumar, S. (2010). Chain regression type estimators using additional auxiliary variable in two phase sampling in the presence of non-response. Nat. Acad. Sci. Letters, India, 33, No. (11 & 12), 369-375.

      [8] Khare, B.B. and Kumar, S. (2011). Estimation of population mean using known coefficient of variation of the study character in the presence of non-response. Commun. Stats.-Theor. & Meth, Vol. 40, 1-15. http://dx.doi.org/10.1080/03610921003725820.

      [9] Khare, B.B. and Rehman, H.U. (2014). Generalized chain regression type estimator for population mean using known coefficient of variation of the study character in the presence of non-response. Int. Jour. Maths. Stats, Vol. 15 (3), 54-60.

      [10] Searls, D. T (1964). The utilization of a known coefficient of variation in the estimation procedure. J. Amer. Stat. Assoc. 59:1225-1226.http://dx.doi.org/10.1080/01621459.1964.10480765.

      [11] Searls, D. T. (1967). A note on the use of an approximately known coefficient of variation. J. Amer. Stat. Assoc. 21:20–21.

      [12] Sen, A. R. (1978). Estimation of the population mean when the coefficient of variation is known. Commun. Stats. Theor. & Meth, A7 (7):657-672.http://dx.doi.org/10.1080/03610927808827656.

  • Downloads

  • How to Cite

    Khare, B., & Rehman, H. (2015). Modified chain regression type estimator for population mean in the presence of non- response. International Journal of Accounting and Economics Studies, 3(2), 165-168. https://doi.org/10.14419/ijaes.v3i2.5491

    Received date: 2015-10-29

    Accepted date: 2015-11-22

    Published date: 2015-11-27