Some estimation procedures using a linear model in successive sampling

ABSTRACT

In successive sampling some recent works depict the use of super-population models where information on stable auxiliary variable over occasions has been utilized. Stability character of auxiliary variable may not sustain, if the duration between occasions is large. To cope with such situations, the present work is an attempt to develop some estimation procedures by utilizing the information on two independent auxiliary variables through a linear super-population model. Some estimators are proposed to estimate the current population mean in two occasions successive (rotation) sampling. Optimum replacement strategies are formulated and performances of the proposed estimators have been discussed. Results are interpreted through empirical studies.

KEYWORDS:

• Successive sampling
• Super-population
• Auxiliary variable
• Variance
• Optimum replacement strategies

Mathematics Subject Classification:

• 62D05

Acknowledgment

Authors are thankful to the referee for his valuable suggestions.

Funding

Authors are thankful to the UGC, New Delhi, and Indian School of Mines, Dhanbad, for providing the financial assistance and necessary infrastructures to carry out the present research work.