A new class of ratio type estimators in single- and two-phase sampling-Reference-Cited by-同舟云学术

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

Published:2022 Issue:8 Volume:7 Page:14208-14226
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Dar Amber Yousaf¹,Saeed Nadia¹,Abu-Shawiesh Moustafa Omar Ahmed²,Shahbaz Saman Hanif³,Shahbaz Muhammad Qaiser³

Affiliation:

1. College of Statistical and Actuarial Sciences, University of the Punjab, Lahore 54000, Pakistan

2. Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan

3. Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

<abstract> <p>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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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