log_dirichlet_pdf

Log-density function of the Dirichlet distribution

Methods for model-based clustering of multinomial counts under the presence of covariates using mixtures of multinomial logit models, as implemented in Papastamoulis (2023) <DOI:10.1007/s11634-023-00547-5>. These models are estimated under a frequentist as well as a Bayesian setup using the Expectation-Maximization algorithm and Markov chain Monte Carlo sampling (MCMC), respectively. The (unknown) number of clusters is selected according to the Integrated Completed Likelihood criterion (for the frequentist model), and estimating the number of non-empty components using overfitting mixture models after imposing suitable sparse prior assumptions on the mixing proportions (in the Bayesian case), see Rousseau and Mengersen (2011) <DOI:10.1111/j.1467-9868.2011.00781.x>. In the latter case, various MCMC chains run in parallel and are allowed to switch states. The final MCMC output is suitably post-processed in order to undo label switching using the Equivalence Classes Representatives (ECR) algorithm, as described in Papastamoulis (2016) <DOI:10.18637/jss.v069.c01>.

Panagiotis Papastamoulis

multinomialLogitMix

Clustering Multinomial Count Data under the Presence of
Covariates

log_dirichlet_pdf function

<dl> <dt>alpha</dt>
<dd>Parameter vector</dd> <dt>weights</dt>
<dd>Vector of weights.</dd></dl>

Arguments

Author

Log-density function of the Dirichlet distribution — log_dirichlet_pdf

<dl>

 <dt>alpha</dt>
<dd>Parameter vector</dd>

 <dt>weights</dt>
<dd>Vector of weights.</dd>

</dl>

log_dirichlet_pdf: Log-density function of the Dirichlet distribution

Description

Usage

Value

Arguments

Author