Improved exponential type mean estimators for non-response case using two concomitant variables in simple random sampling

被引:1
|
作者
Hussain, Mujeeb [1 ]
Zaman, Qamruz [1 ]
Khan, Lakhkar [2 ]
Metawa, A. E. [3 ]
Awwad, Fuad A. [4 ]
Ismail, Emad A. A. [4 ]
Wasim, Danish [5 ]
Ahmad, Hijaz [6 ,7 ]
机构
[1] Univ Peshawar, Dept Stat, Peshawar, Pakistan
[2] Govt Post Grad Coll Mardan, Dept Stat, Mardan, Pakistan
[3] Al Azhar Univ, Fac Sci, Phys Dept, Cairo 11511, Egypt
[4] King Saud Univ, Coll Business Adm, Dept Quantitat Anal, POB 71115, Riyadh 11587, Saudi Arabia
[5] Abasyn Univ, Dept Microbiol, Peshawar, Pakistan
[6] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II, Rome, Italy
[7] Near East Univ, Operat Res Ctr Healthcare, Near East Blvd,Mersin 10, TR-99138 Nicosia, Turkiye
关键词
Exponential; Concomitant variable; Non-response; Mean square error; RATIO;
D O I
10.1016/j.heliyon.2024.e27535
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper addresses new exponential estimators for population mean in case of non -response on both the study and the concomitant variables using simple random sampling. The expressions for theoretical bias and mean square error of new estimators are derived up to first -order approximation and comparisons are made with the existing estimators. The proposed estimators are observed more efficient as compared to the considered estimators in the literature. For instance, the classical [4] unbiased estimator, the estimator of [9], and other existing estimators under the explained conditions. The theoretical results are supported numerically by using real -life data sets, under the criteria of bias, mean square error, percent relative efficiency and mathematical conditions. It is also clear from the numerical results that the suggested exponential estimators performed better than the estimators in the literature.
引用
收藏
页数:12
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