To cite the bayesplot R package:
Gabry J, Mahr T (2026). “bayesplot: Plotting for Bayesian Models.” R package version 1.16.0.9000, https://mc-stan.org/bayesplot/.
To cite the bayesplot paper 'Visualization in Bayesian workflow':
Gabry J, Simpson D, Vehtari A, Betancourt M, Gelman A (2019). “Visualization in Bayesian workflow.” J. R. Stat. Soc. A, 182(2), 389-402. doi:10.1111/rssa.12378.
To cite the graphical uniformity test used in `mcmc_rank_ecdf()`, and in `ppc_pit_ecdf()`, `ppc_pit_ecdf_grouped()`, and `ppc_loo_pit_ecdf()` with `method = "independent"`:
Säilynoja T, Bürkner P, Vehtari A (2022). “Graphical test for discrete uniformity and its applications in goodness-of-fit evaluation and multiple sample comparison.” Statistics and Computing, 32(2), 32. doi:10.1007/s11222-022-10090-6.
To cite the recommended visual predictive checks (`ppc_calibration()`, `ppc_calibration_overlay()`, `ppc_loo_calibration()`, and their `_grouped` variants, `ppc_dots()`, `ppd_dots()`, `ppc_rootogram()` with `style = "discrete"`, `ppc_rootogram_grouped()`, and the `bounds` argument of the PPC and PPD density plots):
Säilynoja T, Johnson A, Martin O, Vehtari A (2026). “Recommendations for visual predictive checks in Bayesian workflow.” Journal of Visualization and Interaction, 1(1). doi:10.54337/jovi.v1i1.11478.
To cite the dependence-aware uniformity tests (`ppc_pit_ecdf()`, `ppc_pit_ecdf_grouped()`, and `ppc_loo_pit_ecdf()` with `method = "correlated"`):
Tesso H, Vehtari A (2026). “LOO-PIT predictive model checking.” arXiv preprint arXiv:2603.02928. doi:10.48550/arXiv.2603.02928.
Corresponding BibTeX entries:
@Misc{,
title = {bayesplot: Plotting for Bayesian Models},
author = {Jonah Gabry and Tristan Mahr},
year = {2026},
note = {R package version 1.16.0.9000},
url = {https://mc-stan.org/bayesplot/},
}
@Article{,
title = {Visualization in Bayesian workflow},
author = {Jonah Gabry and Daniel Simpson and Aki Vehtari and
Michael Betancourt and Andrew Gelman},
year = {2019},
journal = {J. R. Stat. Soc. A},
volume = {182},
number = {2},
pages = {389-402},
doi = {10.1111/rssa.12378},
}
@Article{,
title = {Graphical test for discrete uniformity and its
applications in goodness-of-fit evaluation and multiple sample
comparison},
author = {Teemu Säilynoja and Paul-Christian Bürkner and Aki
Vehtari},
year = {2022},
journal = {Statistics and Computing},
volume = {32},
number = {2},
pages = {32},
doi = {10.1007/s11222-022-10090-6},
}
@Article{,
title = {Recommendations for visual predictive checks in Bayesian
workflow},
author = {Teemu Säilynoja and Andrew Johnson and Osvaldo Martin and
Aki Vehtari},
year = {2026},
journal = {Journal of Visualization and Interaction},
volume = {1},
number = {1},
doi = {10.54337/jovi.v1i1.11478},
}
@Article{,
title = {LOO-PIT predictive model checking},
author = {Herman Tesso and Aki Vehtari},
year = {2026},
journal = {arXiv preprint arXiv:2603.02928},
doi = {10.48550/arXiv.2603.02928},
}