The sample monomode and an associated test for discrete monomodality |
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Authors: | Raúl Pérez-Fernández Bernard De Baets |
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Institution: | 1. KERMIT, Department of Data Analysis and Mathematical Modelling, Ghent University, Gent, Belgium.raul.perezfernandez@ugent.be;3. KERMIT, Department of Data Analysis and Mathematical Modelling, Ghent University, Gent, Belgium. |
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Abstract: | AbstractThe notions of (sample) mean, median and mode are common tools for describing the central tendency of a given probability distribution. In this article, we propose a new measure of central tendency, the sample monomode, which is related to the notion of sample mode. We also illustrate the computation of the sample monomode and propose a statistical test for discrete monomodality based on the likelihood ratio statistic. |
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Keywords: | Discrete unimodality discrete monomodality likelihood ratio multinomial distribution monomode |
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