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

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Summary

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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Marathwada University, Aurangabad, Maharashtra, India

    S. G. Prabhu Ajgaonkar

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  1. S. G. Prabhu Ajgaonkar
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Prabhu Ajgaonkar, S.G. On classes of estimators of the variance function of a linear estimator. Metrika 18, 15–20 (1972). https://doi.org/10.1007/BF02614232

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  • DOI: https://doi.org/10.1007/BF02614232

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