A New Look at the Dirichlet Distribution: Robustness, Clustering, and Both Together
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DOI: 10.1007/s00357-024-09480-4
Abstract: Compositional data have peculiar characteristics that pose significant challenges to traditional statistical methods and models. Within this framework, we use a convenient mode parametrized Dirichlet distribution across multiple fields of statistics. In particular, we propose… read more here.
Keywords: look dirichlet; distribution; dirichlet distribution; distribution robustness ... See more keywords
Comparison of two independent populations of compositional data with positive correlations among components using a nested dirichlet distribution.
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DOI: 10.1037/met0000702
Abstract: Compositional data are multivariate data made up of components that sum to a fixed value. Often the data are presented as proportions of a whole, where the value of each component is constrained to be… read more here.
Keywords: nested dirichlet; distribution; dirichlet distribution; compositional data ... See more keywords
On the non-central Dirichlet distribution
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DOI: 10.1080/00949655.2025.2473610
Abstract: Our goal is to provide a valid point of reference for the theoretical study and the practical use of the Non-central Dirichlet distribution. An Achilles' heel of such model is the limited mathematical manageability of… read more here.
Keywords: non central; dirichlet distribution; central dirichlet;
A fractional generalization of the dirichlet distribution and related distributions
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DOI: 10.1515/fca-2021-0006
Abstract: Abstract This paper is devoted to a fractional generalization of the Dirichlet distribution. The form of the multivariate distribution is derived assuming that the n partitions of the interval [0, Wn] are independent and identically… read more here.
Keywords: fractional generalization; generalization dirichlet; distribution; dirichlet distribution ... See more keywords
Processing random processes with generalized Dirichlet distribution
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DOI: 10.18127/j00338486-202508-11
Abstract: The solution of a number of practical problems, such as detection, recognition, etc., involves the use of signal processing procedures invariant with respect to scale parameters. It should be borne in mind that the amplitude… read more here.
Keywords: distribution; random; generalized dirichlet; dirichlet distribution ... See more keywords