Research Article

Efficient exponential ratio estimator for estimating the population mean in simple random sampling

Volume: 44 Number: 3 June 1, 2015
  • Emmanuel John Ekpenyong *
  • Ekaette İnyang Enang
EN

Efficient exponential ratio estimator for estimating the population mean in simple random sampling

Abstract

This paper proposes, with justification, two exponential ratio estimators of population mean in simple random sampling without replacement. Their biases and mean squared error are derived and compared with existing related ratio estimators. Analytical and numerical results show that at optimal conditions, the proposed ratio estimators are always more efficient than the regression estimator and some existing estimators under review. 

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Emmanuel John Ekpenyong * This is me

Ekaette İnyang Enang This is me

Publication Date

June 1, 2015

Submission Date

March 6, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 44 Number: 3

APA
Ekpenyong, E. J., & Enang, E. İ. (2015). Efficient exponential ratio estimator for estimating the population mean in simple random sampling. Hacettepe Journal of Mathematics and Statistics, 44(3), 689-705. https://izlik.org/JA47RY46JL
AMA
1.Ekpenyong EJ, Enang Eİ. Efficient exponential ratio estimator for estimating the population mean in simple random sampling. Hacettepe Journal of Mathematics and Statistics. 2015;44(3):689-705. https://izlik.org/JA47RY46JL
Chicago
Ekpenyong, Emmanuel John, and Ekaette İnyang Enang. 2015. “Efficient Exponential Ratio Estimator for Estimating the Population Mean in Simple Random Sampling”. Hacettepe Journal of Mathematics and Statistics 44 (3): 689-705. https://izlik.org/JA47RY46JL.
EndNote
Ekpenyong EJ, Enang Eİ (June 1, 2015) Efficient exponential ratio estimator for estimating the population mean in simple random sampling. Hacettepe Journal of Mathematics and Statistics 44 3 689–705.
IEEE
[1]E. J. Ekpenyong and E. İ. Enang, “Efficient exponential ratio estimator for estimating the population mean in simple random sampling”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, pp. 689–705, June 2015, [Online]. Available: https://izlik.org/JA47RY46JL
ISNAD
Ekpenyong, Emmanuel John - Enang, Ekaette İnyang. “Efficient Exponential Ratio Estimator for Estimating the Population Mean in Simple Random Sampling”. Hacettepe Journal of Mathematics and Statistics 44/3 (June 1, 2015): 689-705. https://izlik.org/JA47RY46JL.
JAMA
1.Ekpenyong EJ, Enang Eİ. Efficient exponential ratio estimator for estimating the population mean in simple random sampling. Hacettepe Journal of Mathematics and Statistics. 2015;44:689–705.
MLA
Ekpenyong, Emmanuel John, and Ekaette İnyang Enang. “Efficient Exponential Ratio Estimator for Estimating the Population Mean in Simple Random Sampling”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, June 2015, pp. 689-05, https://izlik.org/JA47RY46JL.
Vancouver
1.Emmanuel John Ekpenyong, Ekaette İnyang Enang. Efficient exponential ratio estimator for estimating the population mean in simple random sampling. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Jun. 1;44(3):689-705. Available from: https://izlik.org/JA47RY46JL