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Two-Step Calibration Estimator with Double Use of Auxiliary Variable: Method and Application
Banasthali Univ, Dept Math & Stat, Jaipur 304022, Rajasthan, India..
Banaras Hindu Univ, Dept Stat, Varanasi 221005, Uttar Pradesh, India..
Jönköping University, Jönköping International Business School, JIBS, Statistics.ORCID iD: 0000-0003-0279-5305
2022 (English)In: Journal of the Iranian Statistical Society, ISSN 1726-4057, Vol. 21, no 1, p. 37-54Article in journal (Refereed) Published
Abstract [en]

This article introduces a two-step calibration technique for the inverse relationship between study variable and auxiliary variable along with the double use of the auxiliary variable. In the first step, the calibration weights and design weights are set proportional to each other for a given sample. While in the second step, the constant of proportionality is to be obtained on the basis of some different objectives of the investigation viz. bias reduction or minimum Mean Squared Error (MSE) of the proposed estimator. Many estimators based on inverse relationship between x and y have been already developed and are considered to be special cases of the proposed estimator. Properties of the proposed estimator is discussed in details. Moreover, a simulation study has also been conducted to compare the performance of the proposed estimator under Simple Random Sampling Without Replacement (SRSWOR) and Lahiri-Midzuno (L-M) sampling design in terms of percent relative bias and MSE. The benefits of two-step calibration estimator are also demonstrated using real life data.

Place, publisher, year, edition, pages
Iranian Statistical Society , 2022. Vol. 21, no 1, p. 37-54
Keywords [en]
Auxiliary Information, Calibration Technique, Distance Functions, Mean Squared Error, Ranks
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:hj:diva-62875DOI: 10.22034/JIRSS.2022.704623ISI: 001078337200003Local ID: POA;intsam;915066OAI: oai:DiVA.org:hj-62875DiVA, id: diva2:1811386
Available from: 2023-11-13 Created: 2023-11-13 Last updated: 2025-10-13Bibliographically approved

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Qasim, Muhammad

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