Moderate deviations of maximum likelihood estimators under alternatives

T. Inglot, W.C.M. Kallenberg

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    Abstract

    Since statistical models are simplifications of reality, it is important in estimation theory to study the behavior of estimators also under distributions (slightly) different from the proposed model. In testing theory, when dealing with test statistics where nuisance parameters are estimated, knowledge of the behavior of the estimators of the nuisance parameters is needed under alternatives to evaluate the power. In this paper the moderate deviation behavior of the (multivariate) maximum likelihood estimator determined within a proposed model is investigated not only under this model, but also under distributions close to the model. The set-up is quite general, including for instance also discrete distributions.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 2000

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1519
    ISSN (Print)0169-2690

    Keywords

    • IR-65707
    • MSC-62H12
    • EWI-3339
    • MSC-60F10
    • MSC-62F12
    • MSC-62E20

    Cite this

    Inglot, T., & Kallenberg, W. C. M. (2000). Moderate deviations of maximum likelihood estimators under alternatives. Enschede: University of Twente, Department of Applied Mathematics.