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ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE

Year 2017, Volume: 30 Issue: 2, 205 - 218, 19.06.2017

Nursel Koyuncu Usman Shahzad Muhammad Hanif Amelia Victoria Garcia Luengo

Abstract

In this study, we have addressed the issue of estimation of population variance utilizing quartiles and some of their functions of an auxiliary variable in absence and presence of non-response. A class of ratio type estimators have been suggested with their MSEs’ in simple random sampling. The suggested estimators have been compared with the reviewed estimators. Further, an empirical illustration is carried out to support the theoretical findings.

Keywords

Mean square error Non-response Simple random sampling Quartiles

References

  • Hansen, M.H. and Hurwitz, W.N., 1946. The problem of non-response in sample surveys. Journal of the
  • American Statistical Association, 41(236), pp.517-529.
  • Isaki, C.T., 1983. Variance estimation using auxiliary information. Journal of the American Statistical
  • Association, 78(381), pp.117-123.
  • Kadilar, C. and Cingi, H., 2006a. Ratio estimators for the population variance in simple and stratified
  • random sampling. Applied Mathematics and Computation, 173(2), pp.1047-1059.
  • Kadilar, C. and Cingi, H., 2006b. Improvement in variance estimation using auxiliary information.
  • Hacettepe Journal of Mathematics and Statistics, 35(1).
  • Sarndal, C.E., Swensson, B. and Wretman, J., 1992. Model Assisted Survey Sampling, New
  • York:Springer.
  • Sinha, R.R. and Kumar, V., 2015. Families of estimators for finite population variance using auxiliary
  • character under double sampling the non-respondents. National Academy Science Letters, 38(6), pp.501-
  • Singh, J., Pandey, B.N. and Hirano, K., 1973. On the utilization of a known coefficient of kurtosis in the
  • estimation procedure of variance. Annals of the Institute of Statistical Mathematics, 25(1), pp.51-55.
  • Singh, H.P., Upadhyaya, L.N. and Namjoshi, U.D., 1988. Estimation of finite population variance. Current Science, 57(24), pp.1331-1334.
  • Solanki, R. S., Singh, H. P., and Pal, S. K. 2015. Improved ratio-type estimators of finite population
  • variance using quartiles. Hacettepe J. Math. Stat, 44(3), 747-754.
  • Upadhyaya, L.N. and Singh, H.P., 1999. An estimator for population variance that utilizes the kurtosis
  • of an auxiliary variable in sample surveys. Vikram Mathematical Journal, 19(1), pp.14-17.
  • Singh, S., 2003. Advanced Sampling Theory with Applications: How Michael SelectedAmy. KluwerAcademic Publisher, The Netherlands, pp. 1-1247.

Year 2017, Volume: 30 Issue: 2, 205 - 218, 19.06.2017

Nursel Koyuncu Usman Shahzad Muhammad Hanif Amelia Victoria Garcia Luengo

Abstract

References

  • Hansen, M.H. and Hurwitz, W.N., 1946. The problem of non-response in sample surveys. Journal of the
  • American Statistical Association, 41(236), pp.517-529.
  • Isaki, C.T., 1983. Variance estimation using auxiliary information. Journal of the American Statistical
  • Association, 78(381), pp.117-123.
  • Kadilar, C. and Cingi, H., 2006a. Ratio estimators for the population variance in simple and stratified
  • random sampling. Applied Mathematics and Computation, 173(2), pp.1047-1059.
  • Kadilar, C. and Cingi, H., 2006b. Improvement in variance estimation using auxiliary information.
  • Hacettepe Journal of Mathematics and Statistics, 35(1).
  • Sarndal, C.E., Swensson, B. and Wretman, J., 1992. Model Assisted Survey Sampling, New
  • York:Springer.
  • Sinha, R.R. and Kumar, V., 2015. Families of estimators for finite population variance using auxiliary
  • character under double sampling the non-respondents. National Academy Science Letters, 38(6), pp.501-
  • Singh, J., Pandey, B.N. and Hirano, K., 1973. On the utilization of a known coefficient of kurtosis in the
  • estimation procedure of variance. Annals of the Institute of Statistical Mathematics, 25(1), pp.51-55.
  • Singh, H.P., Upadhyaya, L.N. and Namjoshi, U.D., 1988. Estimation of finite population variance. Current Science, 57(24), pp.1331-1334.
  • Solanki, R. S., Singh, H. P., and Pal, S. K. 2015. Improved ratio-type estimators of finite population
  • variance using quartiles. Hacettepe J. Math. Stat, 44(3), 747-754.
  • Upadhyaya, L.N. and Singh, H.P., 1999. An estimator for population variance that utilizes the kurtosis
  • of an auxiliary variable in sample surveys. Vikram Mathematical Journal, 19(1), pp.14-17.
  • Singh, S., 2003. Advanced Sampling Theory with Applications: How Michael SelectedAmy. KluwerAcademic Publisher, The Netherlands, pp. 1-1247.
There are 20 citations in total.

Details

Journal Section Statistics
Authors

Nursel Koyuncu

Usman Shahzad

Muhammad Hanif This is me

Amelia Victoria Garcia Luengo

Publication Date June 19, 2017
Published in Issue Year 2017 Volume: 30 Issue: 2

Cite

APA Koyuncu, N., Shahzad, U., Hanif, M., Garcia Luengo, A. V. (2017). ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE. Gazi University Journal of Science, 30(2), 205-218.
AMA Koyuncu N, Shahzad U, Hanif M, Garcia Luengo AV. ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE. Gazi University Journal of Science. June 2017;30(2):205-218.
Chicago Koyuncu, Nursel, Usman Shahzad, Muhammad Hanif, and Amelia Victoria Garcia Luengo. “ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE”. Gazi University Journal of Science 30, no. 2 (June 2017): 205-18.
EndNote Koyuncu N, Shahzad U, Hanif M, Garcia Luengo AV (June 1, 2017) ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE. Gazi University Journal of Science 30 2 205–218.
IEEE N. Koyuncu, U. Shahzad, M. Hanif, and A. V. Garcia Luengo, “ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE”, Gazi University Journal of Science, vol. 30, no. 2, pp. 205–218, 2017.
ISNAD Koyuncu, Nursel et al. “ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE”. Gazi University Journal of Science 30/2 (June 2017), 205-218.
JAMA Koyuncu N, Shahzad U, Hanif M, Garcia Luengo AV. ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE. Gazi University Journal of Science. 2017;30:205–218.
MLA Koyuncu, Nursel et al. “ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE”. Gazi University Journal of Science, vol. 30, no. 2, 2017, pp. 205-18.
Vancouver Koyuncu N, Shahzad U, Hanif M, Garcia Luengo AV. ESTIMATION OF POPULATION VARIANCE USING QUARTILES IN ABSENCE AND PRESENCE OF NON-RESPONSE. Gazi University Journal of Science. 2017;30(2):205-18.