On classes of estimators of the variance function of a linear estimator

Springer Science and Business Media LLC - Tập 18 - Trang 15-20 - 1972
S. G. Prabhu Ajgaonkar1
1Department of Mathematics and Statistics, Marathwada University, Aurangabad, Maharashtra, India

Tóm tắt

The variance function of a linear estimator can be expressed into a quadratic form. The present paper presents classes of estimators of this quadratic form along the lines implicitly suggested byHorvitz andThompson [1952] while formulating the classes of linear estimators. Accordingly it is noted that there exist nine principal classes of estimators out of which one principal class is examined in detail. Furthermore to illustrate the theory an example is considered where the expression for a unique estimator variance of the best estimator in theT 1 class is derived.

Tài liệu tham khảo

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Springer Science and Business Media LLC

Tập 18

15-20

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