A new class of ratio type estimators in single- and two-phase sampling

AIMS Mathematics

article

Amber Yousaf Dar¹  Nadia Saeed¹  Moustafa Omar Ahmed Abu-Shawiesh²  Saman Hanif Shahbaz³  Muhammad Qaiser Shahbaz³ 

[1] College of Statistical and Actuarial Sciences, University of the Punjab;Department of Mathematics, Faculty of Science, The Hashemite University;Department of Statistics, King Abdulaziz University

关键词: ratio-type estimators;    two-phase sampling;    bias;    mean square error;    families of estimators;   

DOI  :  10.3934/math.2022783

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The estimation of a certain population characteristics is required for several situations. The estimates are built so that the error of estimation is minimized. In several situations estimation of the population mean is required. Different estimators for the mean are available but, there is still room for improvement. In this paper, a new class of ratio-type estimators is proposed for the estimation of the population mean. The estimators are proposed for single- and two-phase sampling schemes. The expressions for bias and mean square error are obtained for single-phase and two-phase sampling estimators. Mathematical comparison of the proposed estimators has been achieved by using some existing single-phase and two-phase sampling estimators. Extensive simulations have been conducted to compare the proposed estimators with some available single- and two-phase sampling estimators. It has been observed that the proposed estimators are better than the existing estimators. Consequently, the proposed ratio estimators are recommended for use by the practitioners in various fields of industry, engineering and medical and physical sciences.

【 授权许可】

CC BY