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Modeling maxima of longitudinal contralateral observations

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Abstract

The paper gives the joint distribution of maxima of contralateral observations taken from the same individual at several occasions, when the data are normal with given constraints on the parameters. Different constraints lead to different well-known generalizations of the normal distribution. As an immediate consequence, evaluation of several features of these maxima is greatly simplified. The results of the paper are also useful in modeling other phenomena, such as measures of physical fitness based on the best of two trials. Further applications deal with statistical inference, for example, testing whether an identified treatment is best.

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Authors and Affiliations

  1. Istituto di Scienze Economiche, Facoltá di Economia, Universitá degli Studi di Urbino “Carlo Bo”, Via Saffi 42, 61029, Urbino (PU), Italy

    Nicola Loperfido

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  1. Nicola Loperfido
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Correspondence to Nicola Loperfido.

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Loperfido, N. Modeling maxima of longitudinal contralateral observations. TEST 17, 370–380 (2008). https://doi.org/10.1007/s11749-006-0037-3

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  • DOI: https://doi.org/10.1007/s11749-006-0037-3

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