Package: tamd
Type: Package
Title: Transcendental Algorithm for Mixtures of Distributions
Version: 1.0.2
Date: 2026-05-31
Authors@R: person(
    given  = "Ernest",
    family = "Fokoue",
    role   = c("aut", "cre"),
    email  = "epfeqa@rit.edu")
Maintainer: Ernest Fokoue <epfeqa@rit.edu>
Description: Implements the Transcendental Algorithm for Mixtures
    of Distributions (TAMD), a penalized likelihood framework for
    fitting finite Gaussian mixture models. TAMD augments the
    Expectation-Maximization (EM) algorithm with analytic barrier
    terms built from the Hellinger affinity that diverge on the
    singular locus, actively preventing component coalescence and
    weight degeneracy. Provides the core TAMD fitting function,
    closed-form Hellinger affinity and gradient computations, the
    Transcendental Affinity Criterion (TAC) for geometry-aware
    model selection, the regularity index rho (a scalar diagnostic
    for mixture fit quality), and reproduction scripts for all
    simulation studies. Methods are described in Fokoue (2024)
    <doi:10.48550/arXiv.2602.03889>.
    See also Titterington, Smith and Makov (1985,
    ISBN:0-471-90510-4) and Watanabe (2009,
    ISBN:978-0-521-86408-7).
License: GPL-3
Encoding: UTF-8
Depends: R (>= 4.0.0)
Imports: stats, utils, MASS, mvtnorm
Suggests: testthat (>= 3.0.0)
NeedsCompilation: no
Packaged: 2026-05-31 06:55:26 UTC; epfeqa
Author: Ernest Fokoue [aut, cre]
Repository: CRAN
Date/Publication: 2026-06-04 11:50:02 UTC
Built: R 4.5.2; ; 2026-06-04 14:55:27 UTC; unix
