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Minimum norm quadratic estimators of variance components

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Abstract

In this note we consider the classes of quadratic estimators ofLamotte [1973] for estimating the variance components and derive the forms of the minimum norm quadratic estimators in the classes of quadratics not considered byC.R. Rao [1971a, 1972].

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References

  • Chaubey, Y.P.: The Principle of MINQUE and Linear Models: Modifications, Extensions and Applications. Unpublished thesis, University of Rochester, 1977.

  • Lamotte, L.R.: Estimation of Variance Components. Biometrics29, 1973, 311–330.

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  • Rao, C.R.: Linear Statistical Inference and its Applications, New York 1973.

  • Rao, P.S.R.S., andY.P. Chaubey: Modifications and Adaptations of the Principle of MINQUE. Unpublished manuscript, 1976.

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Author notes

  1. Y. P. Chaubey

    Present address: Dept. of Mathematics, Concordia University, Montréal, Québec, Canada

Authors and Affiliations

  1. Dept. of Mathematics, Delhousie University, B3H 4H8, Halifax, N.S., Canada

    Y. P. Chaubey

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  1. Y. P. Chaubey
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Chaubey, Y.P. Minimum norm quadratic estimators of variance components. Metrika 27, 255–262 (1980). https://doi.org/10.1007/BF01893603

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  • DOI: https://doi.org/10.1007/BF01893603

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