Calibration estimators for quantitative sensitive mean estimation under successive sampling

Abstract

The problem of estimation of sensitive population mean has been investigated using the item sum technique (IST) with calibration estimators in two occasion successive sampling. Generic sampling design have been assumed at each occasion to define calibration estimators. Properties of the proposed estimators has been discussed including asymptotic variance. Different possible allocation designs for allocating long list and short list samples pertaining to IST has been elaborated. Simulation study using a natural population has also been added to substantiate the theoretical results.

Keywords:

• Sensitive variable
• successive occasions
• calibration estimators
• population mean
• variance
• bias
• multi-auxiliary information

Mathematics Subject Classification:

• 62D05

Acknowledgments

The authors are indebted to the referee for a careful reading of manuscript and valuable suggestions. The financial assistance from SERB, New Delhi is gratefully acknowledged. Authors sincerely acknowledged the free access to data by statistical abstracts of United States.

Additional information

Funding

The funding is from Science and Engineering Research Board (SERB) [EMR/2016/000455].