To cite the jumps package in publications use:

The Hodrick-Prescott filter with jumps (hpj, hpfj, hpfj_fix, hpfjx) implements:

Maranzano P, Pelagatti M (2025). “A Hodrick-Prescott filter with automatically selected breaks.” Economic Modelling, 150, 107132. ISSN 0264-9993. doi:10.1016/j.econmod.2025.107132.

The smoothing splines with discontinuities obtained by time warping (ssj_mle, ssj_kfs, ssj_atw, ssj_fix and their auto_* wrappers) implement:

Pelagatti M, Maranzano P, Gatto Ronchieri GC (2026). “Smoothing splines with some discontinuities.” doi:10.48550/arXiv.2610.33137. arXiv preprint arXiv:2610.33137.

The cubic smoothing splines with discontinuities (ssj_cssd, ssj_cssd_dp, auto_ssj_cssd, predict_cssd_dp) implement:

Storath M, Weinmann A (2024). “Smoothing splines for discontinuous signals.” Journal of Computational and Graphical Statistics, 33(2), 651–664. doi:10.1080/10618600.2023.2262000.

Corresponding BibTeX entries:

  @Article{,
    title = {A Hodrick-Prescott filter with automatically selected
      breaks},
    author = {Paolo Maranzano and Matteo Pelagatti},
    journal = {Economic Modelling},
    year = {2025},
    volume = {150},
    pages = {107132},
    issn = {0264-9993},
    doi = {10.1016/j.econmod.2025.107132},
  }

  @Misc{,
    title = {Smoothing splines with some discontinuities},
    author = {Matteo Pelagatti and Paolo Maranzano and Giulio Cesare
      {Gatto Ronchieri}},
    year = {2026},
    note = {arXiv preprint arXiv:2610.33137},
    doi = {10.48550/arXiv.2610.33137},
  }

  @Article{,
    title = {Smoothing splines for discontinuous signals},
    author = {Martin Storath and Andreas Weinmann},
    journal = {Journal of Computational and Graphical Statistics},
    year = {2024},
    volume = {33},
    number = {2},
    pages = {651--664},
    doi = {10.1080/10618600.2023.2262000},
  }