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

Amber Yousaf Dar; Nadia Saeed; Moustafa Omar Ahmed Abu-Shawiesh; Saman Hanif Shahbaz; Muhammad Qaiser Shahbaz; Amber Yousaf Dar; Nadia Saeed; Moustafa Omar Ahmed Abu-Shawiesh; Saman Hanif Shahbaz; Muhammad Qaiser Shahbaz

doi:10.3934/math.2022783

AIMS Mathematics

2022, Volume 7, Issue 8: 14208-14226. doi: 10.3934/math.2022783

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Research article

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

Amber Yousaf Dar ¹,
Nadia Saeed ¹,
Moustafa Omar Ahmed Abu-Shawiesh ^{2
,
,},
Saman Hanif Shahbaz ³,
Muhammad Qaiser Shahbaz ³

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

Received: 02 February 2022 Revised: 12 May 2022 Accepted: 17 May 2022 Published: 30 May 2022
MSC : 62D05, 62G30, 62P99

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.
- ratio-type estimators,
- two-phase sampling,
- bias,
- mean square error,
- families of estimators
Citation: Amber Yousaf Dar, Nadia Saeed, Moustafa Omar Ahmed Abu-Shawiesh, Saman Hanif Shahbaz, Muhammad Qaiser Shahbaz. A new class of ratio type estimators in single- and two-phase sampling[J]. AIMS Mathematics, 2022, 7(8): 14208-14226. doi: 10.3934/math.2022783

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Abstract

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.

References

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