On Fisher information inequalities in the presence of nuisance parameters View Full Text


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Article Info

DATE

1994-09

AUTHORS

Vasant P. Bhapkar, Cidambi Srinivasan

ABSTRACT

The existence of a generalized Fisher information matrix for a vector parameter of interest is established for the case where nuisance parameters are present under general conditions. A matrix inequality is established for the information in an estimating function for the vector parameter of interest. It is shown that this inequality leads to a sharper lower bound for the variance matrix of unbiased estimators, for any set of functionally independent functions of parameters of interest, than the lower bound provided by the Cramér-Rao inequality in terms of the full parameter. More... »

PAGES

593-604

References to SciGraph publications

  • 1982-12. Multiparametric estimating equations in ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00773520

    DOI

    http://dx.doi.org/10.1007/bf00773520

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1086065594


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