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Combining Independent Information in a Multivariate Calibration Problem

Author

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  • Krishnamoorthy, K.
  • Johnson, Darren J.

Abstract

The problem of combining independent information from different sources in a multivariate calibration setup is considered. The dimensions of the response vectors from various sources may be unequal. A linear combination of the classical estimators based on the individual sources is proposed as an estimator for the unknown explanatory variable. It is shown that the combined estimator has finite mean provided the sum of the dimensions of the response vectors exceeds one and has finite mean squared error if it exceeds two. Expressions for asymptotic bias and mean squared error are given.

Suggested Citation

  • Krishnamoorthy, K. & Johnson, Darren J., 1997. "Combining Independent Information in a Multivariate Calibration Problem," Journal of Multivariate Analysis, Elsevier, vol. 61(2), pages 171-186, May.
  • Handle: RePEc:eee:jmvana:v:61:y:1997:i:2:p:171-186
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    References listed on IDEAS

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    1. Lieftinck-Koeijers, C. A. J., 1988. "Multivariate calibration: A generalization of the classical estimator," Journal of Multivariate Analysis, Elsevier, vol. 25(1), pages 31-44, April.
    2. Brown, P. J. & Spiegelman, C. H., 1991. "Mean squared error and selection in multivariate calibration," Statistics & Probability Letters, Elsevier, vol. 12(2), pages 157-159, August.
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