msarima: Multi-Seasonal ARIMA Models

Fit, forecast and simulate autoregressive integrated moving average (ARIMA) models with more than one seasonal component, following Lisi and Grigoletto (2025) <doi:10.1002/for.3283>. Series observed at high frequency often display several seasonal cycles at once, such as the daily and the weekly pattern of hourly data, which a single seasonal ARIMA operator cannot represent. Estimation is performed by conditional maximum likelihood through numerical optimisation, with support for fixed coefficients and a constant term. Multi-seasonal Ljung-Box and Monti portmanteau tests, following Grigoletto and Lisi (2026) <doi:10.48550/arXiv.2609.32381>, seasonal correlograms, forecasts with prediction intervals, and simulation from a model specification or from a fitted model are also provided.

Version: 0.1.0
Depends: R (≥ 4.1.0), forecast
Imports: polynom, stats
Suggests: ggplot2, knitr, rmarkdown, testthat (≥ 3.0.0)
Published: 2026-11-12
DOI: 10.32614/CRAN.package.msarima (may not be active yet)
Author: Daniele Girolimetto ORCID iD [aut, cre, cph], Francesco Lisi ORCID iD [aut], Matteo Grigoletto ORCID iD [aut]
Maintainer: Daniele Girolimetto <daniele.girolimetto at unipd.it>
BugReports: https://github.com/danigiro/msarima/issues
License: GPL-3
URL: https://github.com/danigiro/msarima, https://danigiro.github.io/msarima/
NeedsCompilation: no
Citation: msarima citation info
Materials: README, NEWS
CRAN checks: msarima results

Documentation:

Reference manual: msarima.html , msarima.pdf
Vignettes: Getting started with msarima (source, R code)

Downloads:

Package source: msarima_0.1.0.tar.gz
Windows binaries: r-devel: not available, r-release: not available, r-oldrel: not available
macOS binaries: r-release (arm64): not available, r-oldrel (arm64): not available, r-release (x86_64): not available, r-oldrel (x86_64): not available

Linking:

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