To cite package 'brglm2' in publications use at least one of the following, as appropriate. The finiteness and shrinkage properties of the reduced-bias estimator that 'brglm2' computes by default for logistic regression is in Kosmidis & Firth (2021).

Kosmidis I (2025). brglm2: Bias Reduction in Generalized Linear Models. R package version 1.0.0, https://CRAN.R-project.org/package=brglm2.

Kosmidis I, Firth D (2021). “Jeffreys-prior penalty, finiteness and shrinkage in binomial-response generalized linear models.” Biometirka, 108, 71-82. https://doi.org/10.1093/biomet/asaa052.

Kosmidis I, Kenne Pagui EC, Sartori N (2020). “Mean and median bias reduction in generalized linear models.” Statistics and Computing, 30, 43-59. https://doi.org/10.1007/s11222-019-09860-6.

Sterzinger P, Kosmidis I (2024). “Diaconis-Ylvisaker prior penalized likelihood for $p/n \to\kappa\in(0,1)$ logistic regression.” arXiv. 2311.07419v2.

Corresponding BibTeX entries:

  @Manual{,
    title = {{brglm2}: Bias Reduction in Generalized Linear Models},
    author = {Ioannis Kosmidis},
    year = {2025},
    note = {R package version 1.0.0},
    url = {https://CRAN.R-project.org/package=brglm2},
  }

  @Article{,
    title = {Jeffreys-prior penalty, finiteness and shrinkage in
      binomial-response generalized linear models},
    author = {Ioannis Kosmidis and David Firth},
    year = {2021},
    journal = {Biometirka},
    volume = {108},
    pages = {71-82},
    url = {https://doi.org/10.1093/biomet/asaa052},
  }

  @Article{,
    title = {Mean and median bias reduction in generalized linear
      models},
    author = {Ioannis Kosmidis and Euloge Clovis {Kenne Pagui} and
      Nicola Sartori},
    year = {2020},
    journal = {Statistics and Computing},
    volume = {30},
    pages = {43-59},
    url = {https://doi.org/10.1007/s11222-019-09860-6},
  }

  @Article{,
    title = {Diaconis-Ylvisaker prior penalized likelihood for $p/n \to
      \kappa \in (0,1)$ logistic regression},
    author = {Philipp Sterzinger and Ioannis Kosmidis},
    year = {2024},
    journal = {arXiv},
    eprint = {2311.07419v2},
    archiveprefix = {arXiv},
  }