RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING

Volume: 29 Number: 4 December 19, 2016
EN

RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING

Abstract

In this study, ratio estimators for the population mean are suggested using the robust regression under the double sampling scheme. The mean squared error (MSE) expressions are obtained for the first degree of approximation. Theoretical comparisons show that the proposed estimators having the robust regression estimates are more efficient than the estimators using the least square method under the certain conditions. Theoretical findings are supported with the aid of a real life dataset in application and a simulation study is also conducted to evaluate the performance of the proposed estimators.

Keywords

References

  1. Chand, L., “Some Ratio-Type Estimator Based on Two or More Auxiliary Variables”, Unpublished Ph.D. dissertation, Iowa State University, Iowa. (1975).
  2. Choudhury, S. and Singh, B. K., “A class of chain ratio-product type estimators with two auxiliary variables under double sampling scheme”. Journal of the Korean Statistical Society, 41(2); 247-256, (2012).
  3. Grover, L.K., Kaur. P. and Vishwakarma, G.K. “Product type exponential estimators of population mean under linear transformation of auxiliary variable in simple random sampling”. Applied Mathematics and Computations, 219; 1937-1946, (2012).
  4. Huber, P. H., “Robust estimation of a location parameter”, The Annals of Mathematical Statistics”, 73-101, (1964).
  5. Kadilar, C. and Cingi, H., “Ratio estimators in simple random sampling”, Applied Mathematics and Computation, 151; 893-902, (2004).
  6. Kadilar, C., Candan, M., and Cingi, H. “Ratio estimators using robust regression”, Hacettepe Journal of Mathematics and Statistics, 36 (2); 181-188, (2007).
  7. Kiregyera, B., “A chain ratio-type estimator in finite population double sampling using two auxiliary variables”, Metrika, 27;217–223, (1980).
  8. Kiregyera, B., “Regression-type estimators using two auxiliary variables and model of double sampling from finite populations”, Metrika, 31; 215–226, (1984).

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

December 19, 2016

Submission Date

May 4, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 29 Number: 4

APA
Noor-ul-amin, M., Qaiser Shahbaz, M., & Kadılar, C. (2016). RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING. Gazi University Journal of Science, 29(4), 793-798. https://izlik.org/JA27FJ28WR
AMA
1.Noor-ul-amin M, Qaiser Shahbaz M, Kadılar C. RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING. Gazi University Journal of Science. 2016;29(4):793-798. https://izlik.org/JA27FJ28WR
Chicago
Noor-ul-amin, Muhammad, Muhammad Qaiser Shahbaz, and Cem Kadılar. 2016. “RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING”. Gazi University Journal of Science 29 (4): 793-98. https://izlik.org/JA27FJ28WR.
EndNote
Noor-ul-amin M, Qaiser Shahbaz M, Kadılar C (December 1, 2016) RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING. Gazi University Journal of Science 29 4 793–798.
IEEE
[1]M. Noor-ul-amin, M. Qaiser Shahbaz, and C. Kadılar, “RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING”, Gazi University Journal of Science, vol. 29, no. 4, pp. 793–798, Dec. 2016, [Online]. Available: https://izlik.org/JA27FJ28WR
ISNAD
Noor-ul-amin, Muhammad - Qaiser Shahbaz, Muhammad - Kadılar, Cem. “RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING”. Gazi University Journal of Science 29/4 (December 1, 2016): 793-798. https://izlik.org/JA27FJ28WR.
JAMA
1.Noor-ul-amin M, Qaiser Shahbaz M, Kadılar C. RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING. Gazi University Journal of Science. 2016;29:793–798.
MLA
Noor-ul-amin, Muhammad, et al. “RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING”. Gazi University Journal of Science, vol. 29, no. 4, Dec. 2016, pp. 793-8, https://izlik.org/JA27FJ28WR.
Vancouver
1.Muhammad Noor-ul-amin, Muhammad Qaiser Shahbaz, Cem Kadılar. RATIO ESTIMATORS FOR POPULATION MEAN USING ROBUST REGRESSION IN DOUBLE SAMPLING. Gazi University Journal of Science [Internet]. 2016 Dec. 1;29(4):793-8. Available from: https://izlik.org/JA27FJ28WR