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    An automatic algorithm for the estimation of mode location and numerosity in general multidimensional data

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    Author
    Elliott, Mark Nathan
    Date
    1995
    Advisor
    Thompson, James R.
    Degree
    Doctor of Philosophy
    Abstract
    Exploratory data analysis in four or more dimensions present many challenges that are unknown in lower dimensionalities. The emptiness of high dimensional space makes merely locating the regions in which data is concentrated a nontrivial task. A nonparametric algorithm has been developed which determines the number and location of modes in a multidimensional data set. This algorithm appears to be free of the major disadvantages of standard methods. The procedure can be used in data exploration and can also automatically and nonparametrically test for multimodality. The algorithm performs well in several applications. In particular, the algorithm suggests that the Fisher-Anderson iris data, which contains three species, has four modes.
    Keyword
    Statistics
    Citation
    Elliott, Mark Nathan. "An automatic algorithm for the estimation of mode location and numerosity in general multidimensional data." (1995) Diss., Rice University. https://hdl.handle.net/1911/16817.
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    • Rice University Electronic Theses and Dissertations [12052]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892