An effective estimation strategy for population mean under random non-response situations in two-phase successive sampling

ABSTRACT

This paper presents a modified exponential type estimation strategy for the current population mean in the presence of random non-response situations in two-occasion successive sampling under two-phase set-up. The properties of the proposed estimators have been examined with the assumption that numbers of sampling units follow a distribution due to random non-response. The performances of the proposed estimators are compared with the estimators designated for the complete response situations. Empirical studies are carried out to show the dominance nature of the proposed estimators over the estimator defined for complete response situations. Appropriate recommendations have been made to the survey practitioners/researchers for their real-life practical applications.

KEYWORDS:

• Successive sampling
• random non-response
• two-phase setup
• auxiliary variable
• bias
• mean square error

MATHEMATICS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgements

Authors are thankful to the Indian Institute of Technology (Indian School of Mines), Dhanbad, for providing financial and necessary infrastructural support to carry out the present research work. Authors are also thankful to the reviewers for their valuable suggestions.