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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/58896

    Title: Uniformly robust tests in errors-in-variables models
    Authors: 黃逸輝;Huang, Yih-huei
    Contributors: 淡江大學數學學系
    Keywords: Errors-in-variables;Pointwise robust;Uniformly robust;Confidence coefficient;Projected test
    Date: 2008-01-31
    Issue Date: 2012-12-03 23:23:13 (UTC+8)
    Publisher: Taipei : Tamkang University
    Abstract: Consider an ordinary errors-in-variables model. The true level an(θ) of a test at nominal level a and sample size n is called to be pointwise robust if an (θ)→ α as n → ∞ for each parameter θ. Define an = sUPθEnan(θ), where n is the parameter space of θ. The test is said to be uniformly robust over Ω if an → α as n → ∞.
    It is known that all existing large-sample tests for the key parameters are pointwise robust but not uniformly robust, even for a narrow subset of parameter space. In this talk, we construct uniformly robust tests for some primary parameters in both functional and structural errors-in-variables models. These results can be used to establish the related confidence sets with certain desirable property in the same models. A small simulation showing that the proposed tests are superior to the ordi!1ary large-sample ones in the finite sample is also provided.
    Relation: 2000年國際數學與統計研討會暨第34屆中華民國數學會年會:慶祝淡江大學創校五十週年校慶 ( 2000 international conference on mathematics and statistics and 34th annual meeting of mathematical society of R.O.C. : commemorating the 50th anniversary of Tamkang University), pp.32
    DOI: 10.1007/s10463-007-0167-8
    Appears in Collections:[Graduate Institute & Department of Mathematics] Proceeding

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