Calibration-based approach in estimation of population mean under stratified two-phase sampling scheme

Chaudhary, Manoj K.; Bhardwaj, Nishtha

doi:10.47974/JSMS-1082

Open Access Research Article

Calibration-based approach in estimation of population mean under stratified two-phase sampling scheme

^*Manoj K. ChaudharyCorresponding authormk15@bhu.ac.inDepartment of StatisticsInstitute of ScienceBanaras Hindu UniversityVaranasi, Uttar Pradesh, 221005, IndiaView full profile → , Nishtha Bhardwajnishthabhardwaj2050@gmail.comDepartment of StatisticsInstitute of ScienceBanaras Hindu UniversityVaranasi, Uttar Pradesh, 221005, IndiaView full profile →

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pp. 797–813Vol. 27Issue 4May 2024DOI: 10.47974/JSMS-1082XML

Received:: 03 Aug 2022
Published Online:: 27 May 2024
Article type:: Research Article
Language:: EN
Article no.:: JSMS-1082
Pages:: 797–813

Abstract

The calibration method of estimation utilizes ancillary data to enhance the accuracy of the estimates. In this paper, some new calibration estimators have been introduced to estimate the population mean under stratified two-phase (double) sampling scheme. The chi-square distance measure subject to some of the calibration conditions based on one or two auxiliary variables has been applied to get modified stratum weights. The technique of Taylor linearization has been utilized to obtain the equation for the MSE of the proposed calibration estimators. A set of actual data has been considered to check the execution of the suggested calibration estimators. An empirical analysis based on artificially generated data has also been carried out to illustrate the conceptual outputs.

Keywords

Calibration approach Stratified double sampling Population mean Ancillary information Simulation analysis

Subject Classifications

62D05

References

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