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Dirichlet and related distributions: Theory, methods and applications
KW Ng, GL Tian, ML Tang - 2011 - books.google.com
The Dirichlet distribution appears in many areas of application, which include modelling of
compositional data, Bayesian analysis, statistical genetics, and nonparametric inference …
compositional data, Bayesian analysis, statistical genetics, and nonparametric inference …
Distributions on the simplex revisited
A large number of families of distributions are available to model multivariate real vectors.
On the contrary, for the simplex sample space, we have only a limited number of families …
On the contrary, for the simplex sample space, we have only a limited number of families …
A general framework for moment-based analysis of genetic data
In population genetics, the Dirichlet (also called the Balding–Nichols) model has for 20
years been considered the key model to approximate the distribution of allele fractions …
years been considered the key model to approximate the distribution of allele fractions …
[PDF][PDF] E–m algorithm: an application to a mixture model for compositional data
In this paper, we consider the problem of estimating the parameters of a new model for
compositional data called Flexible Dirichlet (Ongaro et al., 2008). Such a model generalizes …
compositional data called Flexible Dirichlet (Ongaro et al., 2008). Such a model generalizes …
Schl\" omilch integrals and probability distributions on the simplex
DDK Chow - arxiv preprint arxiv:2201.11013, 2022 - arxiv.org
The Schl\" omilch integral, a generalization of the Dirichlet integral on the simplex, and
related probability distributions are reviewed. A distribution that unifies several …
related probability distributions are reviewed. A distribution that unifies several …
[ספר][B] Hierarchical modelling of flood risk for engineering decision analysis
R Custer - 2015 - orbit.dtu.dk
Societies around the world are faced with flood risk, prompting authorities and decision
makers to manage risk to protect population and assets. With climate change, urbanisation …
makers to manage risk to protect population and assets. With climate change, urbanisation …
Shadow Dirichlet for restricted probability modeling
Although the Dirichlet distribution is widely used, the independence structure of its
components limits its accuracy as a model. The proposed shadow Dirichlet distribution …
components limits its accuracy as a model. The proposed shadow Dirichlet distribution …
Probabilistic disaggregation of a spatial portfolio of exposure for natural hazard risk assessment
R Custer, K Nishijima - … : Assessment and Management of Risk for …, 2018 - Taylor & Francis
In natural hazard risk assessment situations are encountered where information on the
portfolio of exposure is only available in a spatially aggregated form, hindering a precise risk …
portfolio of exposure is only available in a spatially aggregated form, hindering a precise risk …
A bicompositional Dirichlet distribution
J Bergman - 2009 - lup.lub.lu.se
The Simplex S^ D is the sample space of a D-part composition. There are only a few
distributions defined on the Simplex and even fewer defined on the Cartesian product S^ D x …
distributions defined on the Simplex and even fewer defined on the Cartesian product S^ D x …
Infinite Scaled Dirichlet Mixture Models for Spam Filtering via Bayesian and Variational Bayes Learning
Spam filtering has been the topic of extensive research in the past. Many machine learning
approaches have been proposed. In this paper we propose an approach based on …
approaches have been proposed. In this paper we propose an approach based on …