nor1mix-package {nor1mix}R Documentation

Normal aka Gaussian 1-d Mixture Models

Description

Onedimensional Normal (i.e. Gaussian) Mixture Models (S3) Classes, for, e.g., density estimation or clustering algorithms research and teaching; providing the widely used Marron-Wand densities. Efficient random number generation and graphics. Fitting to data by efficient ML (Maximum Likelihood) or traditional EM estimation.

Details

The DESCRIPTION file:

Package: nor1mix
Title: Normal aka Gaussian 1-d Mixture Models
Version: 1.3-3
Date: 2024-04-05
Authors@R: c(person("Martin", "Maechler", role = c("aut","cre"), email = "maechler@stat.math.ethz.ch", comment = c(ORCID = "0000-0002-8685-9910")) , person("Friedrich", "Leisch", role = "ctb", comment = c("norMixEM()", ORCID = "0000-0001-7278-1983")) , person("Erik", "Jørgensen", role = "ctb", comment = "pnorMix(), qnorMix()") )
Description: Onedimensional Normal (i.e. Gaussian) Mixture Models (S3) Classes, for, e.g., density estimation or clustering algorithms research and teaching; providing the widely used Marron-Wand densities. Efficient random number generation and graphics. Fitting to data by efficient ML (Maximum Likelihood) or traditional EM estimation.
Imports: stats, graphics
Suggests: cluster, copula
URL: https://curves-etc.r-forge.r-project.org/, https://r-forge.r-project.org/R/?group_id=846, https://r-forge.r-project.org/scm/viewvc.php/pkg/nor1mix/?root=curves-etc, svn://svn.r-forge.r-project.org/svnroot/curves-etc/pkg/nor1mix
BugReports: https://r-forge.r-project.org/R/?group_id=846
License: GPL (>= 2)
Encoding: UTF-8
Author: Martin Maechler [aut, cre] (<https://orcid.org/0000-0002-8685-9910>), Friedrich Leisch [ctb] (norMixEM(), <https://orcid.org/0000-0001-7278-1983>), Erik Jørgensen [ctb] (pnorMix(), qnorMix())
Maintainer: Martin Maechler <maechler@stat.math.ethz.ch>

Index of help topics: 

MarronWand              Marron-Wand Densities as 'norMix' Objects
clus2norMix             Transform Clustering / Grouping to Normal
                        Mixture
dnorMix                 Normal Mixture Density
llnorMix                Likelihood, Parametrization and EM-Steps For 1D
                        Normal Mixtures
nor1mix-package         Normal aka Gaussian 1-d Mixture Models
norMix                  Mixtures of Univariate Normal Distributions
norMix2call             Transform "norMix" object into Call, Expression
                        or Function
norMixEM                EM and MLE Estimation of Univariate Normal
                        Mixtures
plot.norMix             Plotting Methods for 'norMix' Objects
pnorMix                 Normal Mixture Cumulative Distribution and
                        Quantiles
r.norMix                Ratio of Normal Mixture to Corresponding Normal
rnorMix                 Generate 'Normal Mixture' Distributed Random
                        Numbers
sort.norMix             Sort Method for "norMix" Objects

Note that direct Maximum Likelihood ML (via optim()) is typically much faster converging (and more reliably detecting convergence correctly), notably thanks to a smart re-parametrization: use norMixMLE().

Author(s)

Martin Maechler [aut, cre] (<https://orcid.org/0000-0002-8685-9910>), Friedrich Leisch [ctb] (norMixEM(), <https://orcid.org/0000-0001-7278-1983>), Erik Jørgensen [ctb] (pnorMix(), qnorMix())

Maintainer: Martin Maechler <maechler@stat.math.ethz.ch>

See Also

The Marron-Wand examples of normal (gaussian) mixtures MarronWand.

Multivariate distributions from copulas Mvdc from the copula package can use norMix marginals.

Examples

   example(dnorMix)
[Package nor1mix version 1.3-3 Index]