To cite the loo R package:

  Vehtari A, Gabry J, Magnusson M, Yao Y, Bürkner P, Paananen T, Gelman
  A (2025). “loo: Efficient leave-one-out cross-validation and WAIC for
  Bayesian models.” R package version 2.9.0,
  <https://mc-stan.org/loo/>.

A BibTeX entry for LaTeX users is

  @Misc{,
    title = {loo: Efficient leave-one-out cross-validation and WAIC for Bayesian models},
    author = {Aki Vehtari and Jonah Gabry and Måns Magnusson and Yuling Yao and Paul-Christian Bürkner and Topi Paananen and Andrew Gelman},
    year = {2025},
    note = {R package version 2.9.0},
    url = {https://mc-stan.org/loo/},
  }

To cite the loo paper:

  Vehtari A, Gelman A, Gabry J (2017). “Practical Bayesian model
  evaluation using leave-one-out cross-validation and WAIC.”
  _Statistics and Computing_, *27*, 1413-1432.
  doi:10.1007/s11222-016-9696-4
  <https://doi.org/10.1007/s11222-016-9696-4>.

A BibTeX entry for LaTeX users is

  @Article{,
    title = {Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC},
    author = {Aki Vehtari and Andrew Gelman and Jonah Gabry},
    year = {2017},
    journal = {Statistics and Computing},
    volume = {27},
    issue = {5},
    pages = {1413--1432},
    doi = {10.1007/s11222-016-9696-4},
  }

To cite when using loo_compare():

  Sivula T, Magnusson M, Matamoros A, Vehtari A (2025). “Uncertainty in
  Bayesian leave-one-out cross-validation based model comparison.”
  _Bayesian Analysis_. doi:10.1214/24-BA1453.

A BibTeX entry for LaTeX users is

  @Article{,
    title = {Uncertainty in Bayesian leave-one-out cross-validation based model comparison},
    author = {Tuomas Sivula and Måns Magnusson and Asael Alonzo Matamoros and Aki Vehtari},
    journal = {Bayesian Analysis},
    year = {2025},
    note = {doi:10.1214/24-BA1453},
  }

To cite the stacking paper:

  Yao Y, Vehtari A, Simpson D, Gelman A (2018). “Using stacking to
  average Bayesian predictive distributions.” _Bayesian Analysis_,
  *13*, 917-1007. doi:10.1214/17-BA1091
  <https://doi.org/10.1214/17-BA1091>.

A BibTeX entry for LaTeX users is

  @Article{,
    title = {Using stacking to average Bayesian predictive distributions},
    author = {Yuling Yao and Aki Vehtari and Daniel Simpson and Andrew Gelman},
    journal = {Bayesian Analysis},
    year = {2018},
    volume = {13},
    issue = {3},
    pages = {917--1007},
    doi = {10.1214/17-BA1091},
  }

To cite Pareto-k diagnostics:

  Vehtari A, Simpson D, Gelman A, Yao Y, Gabry J (2024). “Pareto
  smoothed importance sampling.” _Journal of Machine Learning
  Research_, *25*(72), 1-58.

A BibTeX entry for LaTeX users is

  @Article{,
    title = {Pareto smoothed importance sampling},
    author = {Aki Vehtari and Daniel Simpson and Andrew Gelman and Yuling Yao and Jonah Gabry},
    journal = {Journal of Machine Learning Research},
    year = {2024},
    volume = {25},
    number = {72},
    pages = {1-58},
  }

To cite moment matching:

  Paananen T, Piironen J, Buerkner P, Vehtari A (2021). “Implicitly
  adaptive importance sampling.” _Statistics and Computing_, *31*, 16.

A BibTeX entry for LaTeX users is

  @Article{,
    author = {Topi Paananen and Juho Piironen and Paul-Christian Buerkner and Aki Vehtari},
    title = {Implicitly adaptive importance sampling},
    journal = {Statistics and Computing},
    volume = {31},
    pages = {16},
    year = {2021},
  }

To cite subsampling loo:

  Magnusson M, Andersen M, Jonasson J, Vehtari A (2019). “Leave-One-Out
  Cross-Validation for Large Data.” In _Thirty-sixth International
  Conference on Machine Learning_, volume 97, 4244-4253.

A BibTeX entry for LaTeX users is

  @InProceedings{,
    author = {Måns Magnusson and Michael Riis Andersen and Johan Jonasson and Aki Vehtari},
    title = {Leave-One-Out Cross-Validation for Large Data},
    booktitle = {Thirty-sixth International Conference on Machine Learning},
    publisher = {PMLR},
    volume = {97},
    pages = {4244-4253},
    year = {2019},
  }

To cite subsampling loo:

  Magnusson M, Andersen M, Jonasson J, Vehtari A (2019). “Leave-One-Out
  Cross-Validation for Model Comparison in Large Data.” In _Proceedings
  of the 23rd International Conference on Artificial Intelligence and
  Statistics (AISTATS)_, volume 108, 341-351.

A BibTeX entry for LaTeX users is

  @InProceedings{,
    author = {Måns Magnusson and Michael Riis Andersen and Johan Jonasson and Aki Vehtari},
    title = {Leave-One-Out Cross-Validation for Model Comparison in Large Data},
    booktitle = {Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics (AISTATS)},
    publisher = {PMLR},
    volume = {108},
    pages = {341-351},
    year = {2019},
  }