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Two-step calibration of design weights under two auxiliary variables in sample survey
Department of Mathematics and Statistics, Banasthali University, Jaipur, Rajasthan, India.
Department of Statistics, Banaras Hindu University, Varanasi, Uttar Pradesh, India.
Department of Statistics & Computer Science, University of Veterinary & Animal Sciences, Lahore, Pakistan.
2019 (English)In: Journal of Statistical Computation and Simulation, ISSN 0094-9655, E-ISSN 1563-5163, Vol. 89, no 12, p. 2316-2327Article in journal (Refereed) Published
Abstract [en]

Calibration on the available auxiliary variables is widely used to increase the precision of the estimates of parameters. Singh and Sedory [Two-step calibration of design weights in survey sampling. Commun Stat Theory Methods. 2016;45(12):3510–3523.] considered the problem of calibration of design weights under two-step for single auxiliary variable. For a given sample, design weights and calibrated weights are set proportional to each other, in the first step. While, in the second step, the value of proportionality constant is determined on the basis of objectives of individual investigator/user for, for example, to get minimum mean squared error or reduction of bias. In this paper, we have suggested to use two auxiliary variables for two-step calibration of the design weights and compared the results with single auxiliary variable for different sample sizes based on simulated and real-life data set. The simulated and real-life application results show that two-auxiliary variables based two-step calibration estimator outperforms the estimator under single auxiliary variable in terms of minimum mean squared error. 

Place, publisher, year, edition, pages
Taylor & Francis, 2019. Vol. 89, no 12, p. 2316-2327
Keywords [en]
auxiliary information, distance function, Two-step calibration
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:hj:diva-46438DOI: 10.1080/00949655.2019.1616205ISI: 000473430000008Scopus ID: 2-s2.0-85065816429OAI: oai:DiVA.org:hj-46438DiVA, id: diva2:1357282
Available from: 2019-10-03 Created: 2019-10-03 Last updated: 2019-10-03Bibliographically approved

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Qasim, Muhammad

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