Generalized Semi Exponential Type Estimator under Systematic Sampling
- 10.2991/jsta.2018.17.2.8How to use a DOI?
- Auxiliary information; Generalized Semi-Exponential type estimator; Systematic Sampling; Mean Square Error; Percentage Relative Efficiency
In sample surveys, collection of auxiliary information together with the main variable of interest is very important to increase the efficiency of the estimators of population parameters of interest. Regression and ratio estimation are very popular and are widely used methods that benefit from the use of auxiliary information for the estimation of population parameters like mean, total, variance, proportion etc. A generalized semi-exponential type estimator is proposed in this paper using two auxiliary variables under the framework of systematic sampling. The expressions of approximate bias and mean square error of the proposed estimator have been derived. Algebraic conditions have been obtained under which the proposed estimator is more efficient than the competing estimators considered here. An empirical study has been carried out to show the improvement in efficiency of the proposed estimator as compared to the existing estimators.
- Copyright © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
Cite this article
TY - JOUR AU - Muhammad Nouman Qureshi AU - Sadia Khalil AU - Muhammad Hanif PY - 2018 DA - 2018/06/30 TI - Generalized Semi Exponential Type Estimator under Systematic Sampling JO - Journal of Statistical Theory and Applications SP - 283 EP - 290 VL - 17 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2018.17.2.8 DO - 10.2991/jsta.2018.17.2.8 ID - Qureshi2018 ER -