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fqardl: Fourier ARDL Methods: Quantile, Nonlinear, Multi-Threshold & Unit Root Tests

Implementation of ARDL methods for cointegration analysis with structural breaks and asymmetric effects. Includes: (1) Fourier Quantile ARDL (FQARDL), quantile regression with Fourier approximation following the quantile ARDL of Cho, Kim and Shin (2015) <doi:10.1016/j.jeconom.2015.05.003>; (2) Fourier Nonlinear ARDL (FNARDL), asymmetric cointegration with partial sum decomposition following Shin, Yu and Greenwood-Nimmo (2014) <doi:10.1007/978-1-4899-8008-3_9>; (3) a deprecated Multi-Threshold NARDL (MTNARDL) function; (4) Fourier unit root tests, ADF and KPSS tests with Fourier terms following Enders and Lee (2012) <doi:10.1016/j.econlet.2012.04.081> and Becker, Enders and Lee (2006) <doi:10.1111/j.1467-9892.2006.00478.x>. Features automatic lag and frequency selection, Wald bounds statistics with the tables of Pesaran, Shin and Smith (2001) <doi:10.1002/jae.616> (no verdict with Fourier terms, for which the tables are not valid), recursive bootstrap bounds tests following Bertelli, Vacca and Zoia (2022) <doi:10.1016/j.econmod.2022.105987> and McNown, Sam and Goh (2018) <doi:10.1080/00036846.2017.1366643>, Wald tests for asymmetry, multiplier computation, and visualizations.

Version: 1.1.0
Depends: R (≥ 3.5.0)
Imports: quantreg (≥ 5.0), ggplot2 (≥ 3.0.0), tidyr, gridExtra, stats
Suggests: testthat (≥ 3.0.0), knitr, rmarkdown, plotly, covr
Published: 2026-10-10
DOI: 10.32614/CRAN.package.fqardl
Author: Muhammad Alkhalaf ORCID iD [aut, cre, cph]
Maintainer: Muhammad Alkhalaf <muhammedalkhalaf at gmail.com>
BugReports: https://github.com/muhammedalkhalaf/fqardl/issues
License: GPL-3
URL: https://github.com/muhammedalkhalaf/fqardl
NeedsCompilation: no
Materials: README, NEWS
CRAN checks: fqardl results

Documentation:

Reference manual: fqardl.html , fqardl.pdf

Downloads:

Package source: fqardl_1.1.0.tar.gz
Windows binaries: r-devel: fqardl_1.0.6.zip, r-release: fqardl_1.0.5.zip, r-oldrel: fqardl_1.1.0.zip
macOS binaries: r-release (arm64): fqardl_1.1.0.tgz, r-oldrel (arm64): fqardl_1.1.0.tgz, r-release (x86_64): fqardl_1.1.0.tgz, r-oldrel (x86_64): fqardl_1.1.0.tgz
Old sources: fqardl archive

Linking:

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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.
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