SuperGauss: Superfast Likelihood Inference for Stationary Gaussian Time
Series
Likelihood evaluations for stationary Gaussian time series are typically obtained via the Durbin-Levinson algorithm, which scales as O(n^2) in the number of time series observations.  This package provides a "superfast" O(n log^2 n) algorithm written in C++, crossing over with Durbin-Levinson around n = 300.  Efficient implementations of the score and Hessian functions are also provided, leading to superfast versions of inference algorithms such as Newton-Raphson and Hamiltonian Monte Carlo.  The C++ code provides a Toeplitz matrix class packaged as a header-only library, to simplify low-level usage in other packages and outside of R.
| Version: | 2.0.4 | 
| Depends: | R (≥ 3.0.0) | 
| Imports: | stats, methods, R6, Rcpp (≥ 0.12.7), fftw | 
| LinkingTo: | Rcpp, RcppEigen | 
| Suggests: | knitr, rmarkdown, testthat, mvtnorm, numDeriv | 
| Published: | 2025-09-10 | 
| DOI: | 10.32614/CRAN.package.SuperGauss | 
| Author: | Yun Ling [aut],
  Martin Lysy [aut, cre] | 
| Maintainer: | Martin Lysy  <mlysy at uwaterloo.ca> | 
| BugReports: | https://github.com/mlysy/SuperGauss/issues | 
| License: | GPL-3 | 
| URL: | https://github.com/mlysy/SuperGauss | 
| NeedsCompilation: | yes | 
| SystemRequirements: | fftw3 (>= 3.1.2) | 
| Materials: | NEWS | 
| CRAN checks: | SuperGauss results | 
Documentation:
Downloads:
Reverse dependencies:
Linking:
Please use the canonical form
https://CRAN.R-project.org/package=SuperGauss
to link to this page.