Research Article

Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme

Volume: 44 Number: 4 August 1, 2015
  • Mursala Khan *
  • Saif Ullah
  • Abdullah Y. Al-hossain
  • Neelam Bashir
EN

Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme

Abstract

This paper presents a class of ratio-type estimators for the evaluation of finite population mean under maximum and minimum values by using knowledge of the auxiliary variable. The properties of the proposed estimators in terms of biases and mean square errors are derived up to first order of approximation. Also, the performance of the proposed class of estimators is shown theoretically and these theoretical conditions are, then, verified numerically by taking three natural populations under which the proposed class of estimators performed better than other competing estimators. 

Keywords

References

  1. .

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Mursala Khan * This is me

Saif Ullah This is me

Abdullah Y. Al-hossain This is me

Neelam Bashir This is me

Publication Date

August 1, 2015

Submission Date

April 18, 2014

Acceptance Date

September 6, 2014

Published in Issue

Year 2015 Volume: 44 Number: 4

APA
Khan, M., Ullah, S., Al-hossain, A. Y., & Bashir, N. (2015). Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme. Hacettepe Journal of Mathematics and Statistics, 44(4), 923-931. https://izlik.org/JA78AS35XY
AMA
1.Khan M, Ullah S, Al-hossain AY, Bashir N. Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):923-931. https://izlik.org/JA78AS35XY
Chicago
Khan, Mursala, Saif Ullah, Abdullah Y. Al-hossain, and Neelam Bashir. 2015. “Improved Ratio-Type Estimators Using Maximum and Minimum Values under Simple Random Sampling Scheme”. Hacettepe Journal of Mathematics and Statistics 44 (4): 923-31. https://izlik.org/JA78AS35XY.
EndNote
Khan M, Ullah S, Al-hossain AY, Bashir N (August 1, 2015) Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme. Hacettepe Journal of Mathematics and Statistics 44 4 923–931.
IEEE
[1]M. Khan, S. Ullah, A. Y. Al-hossain, and N. Bashir, “Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, pp. 923–931, Aug. 2015, [Online]. Available: https://izlik.org/JA78AS35XY
ISNAD
Khan, Mursala - Ullah, Saif - Al-hossain, Abdullah Y. - Bashir, Neelam. “Improved Ratio-Type Estimators Using Maximum and Minimum Values under Simple Random Sampling Scheme”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 1, 2015): 923-931. https://izlik.org/JA78AS35XY.
JAMA
1.Khan M, Ullah S, Al-hossain AY, Bashir N. Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme. Hacettepe Journal of Mathematics and Statistics. 2015;44:923–931.
MLA
Khan, Mursala, et al. “Improved Ratio-Type Estimators Using Maximum and Minimum Values under Simple Random Sampling Scheme”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, Aug. 2015, pp. 923-31, https://izlik.org/JA78AS35XY.
Vancouver
1.Mursala Khan, Saif Ullah, Abdullah Y. Al-hossain, Neelam Bashir. Improved ratio-type estimators using maximum and minimum values under simple random sampling scheme. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Aug. 1;44(4):923-31. Available from: https://izlik.org/JA78AS35XY