Imports: VineCopula, cubature, pcaPP, randtoolbox, pbapply

Alquier, Chérief-Abdellatif, Derumigny and Fermanian (2022)
Imports: VineCopula, cubature, randtoolbox, pbapply, wdm

Title: Multivariate Multinomial Distribution Approximation and
Description: Fit incomplete multinomial data by mixture multinomial distribution
approximation (Dunson and Xing (2009) <DOI:10.1198/jasa.2009.tm08439>). Estimate latent joint distribution by
slice Gibbs sampler (Walker (2007) <DOI:10.1080/03610910601096262>). Perform efficient missing data imputation and
other statistical inference based on joint distribution estimation.
Packaged: 2016-09-14 01:31:24 UTC; type_ok_login

Description: Fit incomplete categorical data with infinite mixture of multinomial distribution
(Dunson and Xing (2009) <DOI:10.1198/jasa.2009.tm08439>). Perform efficient missing data imputation and
Packaged: 2017-01-23 05:55:57 UTC; type_ok_login

Packaged: 2017-02-24 01:42:02 UTC; type_ok_login

Packaged: 2017-03-08 08:52:02 UTC; type_ok_login

Packaged: 2017-03-18 04:44:57 UTC; type_ok_login

Description: Missingness in categorical data is a common problem in various real applications.
Traditional approaches either utilize only the complete observations or impute the missing data by some ad hoc methods rather than the true conditional distribution of the missing data,
thus losing or distorting the rich information in the partial observations.
This package develops a Bayesian nonparametric approach, the Dirichlet Process Mixture of Collapsed Product-Multinomials (DPMCPM, Wang et al. (2017) <arXiv:1712.02214v1>),
to model the full data jointly and compute the model efficiently.
By fitting an infinite mixture of product-multinomial distributions,
DPMCPM is applicable for any categorical data regardless of the true distribution,
which may contain complex association among variables.
Under the framework of latent class analysis, we show that DPMCPM can model general missing mechanisms by creating an extra category to denote missingness,
which implicitly integrates out the missing part with regard to their true conditional distribution.