Effectual variance estimation strategy in two-occasion successive sampling in presence of random non response

ABSTRACT

Present investigation deals with the problem of random non response in estimation of population variance on current occasion in two-occasion successive sampling. To reduce the negative impact of random non response on both occasions, regression type imputation method has been suggested. Using auxiliary information, efficient estimation strategies have been developed for estimation of population variance on the current occasion. Estimator for the population variance is also derived as a special case when random non response occurs only on the current occasion. Empirical studies are carried out to show the dominance of suggested estimators over sample variance and exponential type estimators. Results are interpreted.

KEYWORDS:

• Auxiliary variable
• Imputation
• Mean square error
• Random non response
• Successive sampling
• Variance estimation

MATHEMATICS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgments

Authors are thankful to the reviewers for their valuable suggestions which helped in improving the quality of this paper.

Funding

Authors are grateful to the University Grants Commission, New Delhi, and Indian School of Mines, Dhanbad, for providing the financial assistance and necessary infrastructure to carry out the present work.