admix_model

Create an admixture model, also known as (aka) a contamination model. Such a model is a two-component
mixture model with one known component. Both the second component distribution and the mixing weight
are unknown.

Implements techniques to estimate the unknown quantities
related to two-component admixture models, where the two components
can belong to any distribution (note that in the case of multinomial
mixtures, the two components must belong to the same family).
Estimation methods depend on the assumptions made on the unknown
component density; see Bordes and Vandekerkhove (2010)
<doi:10.3103/S1066530710010023>, Patra and Sen (2016)
<doi:10.1111/rssb.12148>, and Milhaud, Pommeret, Salhi, Vandekerkhove
(2024) <doi:10.3150/23-BEJ1593>. In practice, one can estimate both
the mixture weight and the unknown component density in a wide variety
of frameworks. On top of that, hypothesis tests can be performed in
one and two-sample contexts to test the unknown component density (see
Milhaud, Pommeret, Salhi and Vandekerkhove (2022)
<doi:10.1016/j.jspi.2021.05.010>, and Milhaud, Pommeret, Salhi,
Vandekerkhove (2024) <doi:10.3150/23-BEJ1593>). Finally, clustering of
unknown mixture components is also feasible in a K-sample setting (see
Milhaud, Pommeret, Salhi, Vandekerkhove (2024)
<https://jmlr.org/papers/v25/23-0914.html>).

Xavier Milhaud

admix

Package Admix for Admixture (aka Contamination) Models

Pierre Vandekerkhove

Denys Pommeret

Yahia Salhi

admix_model function

<dl><dt>knownComp_dist</dt>
<dd>(Character) The name of the distribution (specified as in R glossary) of the known component
of the admixture model</dd>
<dt>knownComp_param</dt>
<dd>(Character) A vector of the names of the parameters (specified as in R glossary) involved in
the chosen known distribution, with their values.</dd></dl>

Arguments

Xavier Milhaud <a href="/link/xavier.milhaud.research%40gmail.com?package=admix&version=2.3.4" data-mini-rdoc="admix::xavier.milhaud.research@gmail.com">xavier.milhaud.research@gmail.com</a>

Author

Create an object of class 'admix_model' — admix_model

<dl>

<dt>knownComp_dist</dt>
<dd>(Character) The name of the distribution (specified as in R glossary) of the known component
of the admixture model</dd>


<dt>knownComp_param</dt>
<dd>(Character) A vector of the names of the parameters (specified as in R glossary) involved in
the chosen known distribution, with their values.</dd>

</dl>

Xavier Milhaud <a href='mailto:xavier.milhaud.research@gmail.com'>xavier.milhaud.research@gmail.com</a>

admix_model: Create an object of class 'admix_model'

Description

Usage

Value

Arguments

Author

Examples