# A Class of Estimators for Population Variance in Two Occasion Rotation Patterns

• Singh, G.N. (Department of Applied Mathematics, Indian School of Mines) ;
• Priyanka, Priyanka (Department of Mathematics, Shivaji College, University of Delhi) ;
• Prasad, Shakti (Department of Applied Mathematics, Indian School of Mines) ;
• Singh, Sarjinder (Department of Mathematics, Texas A & M University) ;
• Kim, Jong-Min (Division of Science and Mathematics, University of Minnesota at Morris)
• Accepted : 2013.05.27
• Published : 2013.07.31

#### Abstract

A variety of practical problems can be addressed in the framework of rotation (successive) sampling. The present work presents a sample rotation pattern where sampling units are drawn on two successive occasions. The problem of estimation of population variance on current (second) occasion in two - occasion successive (rotation) sampling has been considered. A class of estimators has been proposed for population variance that includes many estimators as a particular case. Asymptotic properties of the proposed class of estimators are discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion. Optimum replacement policy is discussed. Results are supported with the empirical means of comparison.

#### References

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