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Statements

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dbr:GD
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Generalized Dirichlet distribution
rdfs:comment
In statistics, the generalized Dirichlet distribution (GD) is a generalization of the Dirichlet distribution with a more general covariance structure and almost twice the number of parameters. Random vectors with a GD distribution are completely neutral . The density function of is where we define . Here denotes the Beta function. This reduces to the standard Dirichlet distribution if for ( is arbitrary). For example, if k=4, then the density function of is where and .
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dbo:abstract
In statistics, the generalized Dirichlet distribution (GD) is a generalization of the Dirichlet distribution with a more general covariance structure and almost twice the number of parameters. Random vectors with a GD distribution are completely neutral . The density function of is where we define . Here denotes the Beta function. This reduces to the standard Dirichlet distribution if for ( is arbitrary). For example, if k=4, then the density function of is where and . Connor and Mosimann define the PDF as they did for the following reason. Define random variables with . Then have the generalized Dirichlet distribution as parametrized above, if the are independent beta with parameters , .
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