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lillardhaz: Simultaneous-Equations Hazard/Probit Models with a Gaussian-Copula Correlation

Fits two-equation simultaneous models in the style of Lillard (1993) <doi:10.1016/0304-4076(93)90106-F>: a pair of processes, each either a binary probit outcome or a continuous-time hazard duration, linked through a single correlation parameter between their underlying error terms and estimated jointly by maximum likelihood via a Gaussian copula. Equation 1 may be a probit, a log-normal accelerated-failure-time hazard, or a piecewise (linear-log-hazard) Gompertz hazard with an arbitrary, user-specified number of segments; equation 2 is always a hazard, log-normal or piecewise Gompertz. Models can also be fit under independence (correlation fixed at zero), which reduces exactly to two separate univariate fits. See the package vignette/manual for the full likelihood derivation and a simulation-based verification.

Version: 1.0.0
Depends: R (≥ 3.5)
Imports: maxLik, pbivnorm, stats
Suggests: testthat (≥ 3.0.0)
Published: 2026-10-16
DOI: 10.32614/CRAN.package.lillardhaz
Author: Nobutaka Fukuda [aut, cre]
Maintainer: Nobutaka Fukuda <nobutaka.fukuda at tohoku.ac.jp>
BugReports: https://github.com/nobifukuda/lillardhaz/issues
License: MIT + file LICENSE
URL: https://github.com/nobifukuda/lillardhaz
NeedsCompilation: no
Materials: NEWS
CRAN checks: lillardhaz results

Documentation:

Reference manual: lillardhaz.html , lillardhaz.pdf

Downloads:

Package source: lillardhaz_1.0.0.tar.gz
Windows binaries: r-devel: lillardhaz_1.0.0.zip, r-release: lillardhaz_1.0.0.zip, r-oldrel: lillardhaz_1.0.0.zip
macOS binaries: r-release (arm64): lillardhaz_1.0.0.tgz, r-oldrel (arm64): lillardhaz_1.0.0.tgz, r-release (x86_64): lillardhaz_1.0.0.tgz, r-oldrel (x86_64): lillardhaz_1.0.0.tgz

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These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.