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Hierarchical Mixture of Discriminative Generalized Dirichlet Classifiers [PDF]
Pattern RecognitionThis paper presents a discriminative classifier for compositional data. This classifier is based on the posterior distribution of the Generalized Dirichlet which is the discriminative counterpart of Generalized Dirichlet mixture model.
Elvis Togban, Djemel Ziou
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A Generalized Dirichlet Distribution Accounting for Singularities of the Variables
Biometrics, 1996Summary: A multivariate generalized Dirichlet distribution has been formulated for the case where the stochastic variables are allowed to have singularities at 0 and 1. Small sample properties of the estimates of moments of the variables based on maximum likelihood estimates of the parameters have been compared to the empirical moments.
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Concepts of Independence for Proportions with a Generalization of the Dirichlet Distribution
Journal of the American Statistical Association, 1969Abstract Concepts of independence for nonnegative continuous random variables, X 1, …, Xk , subject to the constraint ΣXi = 1 are developed. These concepts provide a means of modeling random vectors of proportions which is useful in analyzing certain kinds of data; and which may be of interest in quantifying prior opinions about multinomial parameters.
Robert J. Connor, James E. Mosimann
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Exact fisher information of generalized Dirichlet multinomial distribution for count data modeling
Information Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatma Najar, Nizar Bouguila
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Constructing Multivariate Distributions via the Dirichlet Generator
2020There exist several endeavours proposing a new family of extended distributions using the beta-generating technique. This is a well-known mechanism in developing flexible distributions, by embedding the cumulative distribution function (cdf) of a baseline distribution within the beta distribution that acts as a generator.
Mohammad Arashi +3 more
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The principle of interval constraints: A generalization of the symmetric dirichlet distribution
Mathematical Biosciences, 1991A structure for representing problems in decision analysis and in expert systems, which reason under uncertainty, is the influence diagram or causal network. A causal network consists of an underlying joint probability distribution and a directed acyclic graph in which a propositional variable that represents a marginal distribution is stored at each ...
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Value distribution of general Dirichlet series. VII
Lithuanian Mathematical Journal, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Genys, J. +2 more
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2012
In this paper, we introduce a nonparametric Bayesian approach for clustering based on both Dirichlet processes and generalized Dirichlet (GD) distribution. Thanks to the proposed approach, the obstacle of estimating the correct number of clusters is sidestepped by assuming an infinite number of components.
Wentao Fan 0001, Nizar Bouguila
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In this paper, we introduce a nonparametric Bayesian approach for clustering based on both Dirichlet processes and generalized Dirichlet (GD) distribution. Thanks to the proposed approach, the obstacle of estimating the correct number of clusters is sidestepped by assuming an infinite number of components.
Wentao Fan 0001, Nizar Bouguila
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Regression for compositions based on a generalization of the Dirichlet distribution
Statistical Methods & Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the value distribution of general Dirichlet series
Annales Polonici MathematiciSummary: We estimate the number of zeros and poles of \(L-\alpha\), where \(L\) is a general Dirichlet series satisfying some conditions and \(\alpha\) is a meromorphic function with \(T(r,\alpha)=o(r)\) as \(r\rightarrow \infty\). In addition, we give a uniqueness theorem in terms of \(a\)-points of Dirichlet series and find Picard exceptional values ...
Lü, Feng, Cao, Zhi, Lü, Weiran
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