Search Results - (Author, Cooperation:H. Iverson)

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  1. 1
    M. A. Ruiz-Primo ; D. Briggs ; H. Iverson ; R. Talbot ; L. A. Shepard
    American Association for the Advancement of Science (AAAS)
    Published 2011
    Staff View
    Publication Date:
    2011-03-12
    Publisher:
    American Association for the Advancement of Science (AAAS)
    Print ISSN:
    0036-8075
    Electronic ISSN:
    1095-9203
    Topics:
    Biology
    Chemistry and Pharmacology
    Computer Science
    Medicine
    Natural Sciences in General
    Physics
    Keywords:
    Biology/education ; Chemistry/education ; Curriculum ; Engineering/education ; Humans ; *Learning ; Physics/education ; Research Design ; Science/*education ; *Teaching
    Published by:
    http://www.aaas.org/

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  2. 2
    Iverson, H. K. ; Randles, R. H.
    Springer
    Published 1989
    Staff View
    ISSN:
    1432-2064
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Notes:
    Summary Substituting an estimator in a statistic will often affect its limiting distribution. Sukhatme (1958), Randles (1982), and Pierce (1982) all consider the changes, if any, in the statistic's limiting normal distribution. This paper gives conditions for a law of the iterated logarithm for U-statistics which have a kernel with an estimator substituted into it. It also gives conditions for both strong and weak convergence. Applications of the theory are illustrated by constructing a sequential test for scale differences with power one. The theory also produces convergence results for adaptive M-estimators and for cross-validation assessment statistics. In addition, it is shown how to extend LIL results to a broad class of statistics with estimators substituted into them by use of the differential. In particular, a law of the iterated logarithm is described for adaptive L-statistics and is illustrated by an example of de Wet and van Wyk (1979).
    Type of Medium:
    Electronic Resource
    URL:
    http://dx.doi.org/10.1007/BF00340061

    Articles: DFG German National Licenses