1. Bibliography

Ber06

James O Berger. The case for objective bayesian analysis. Bayesian Analysis, 1(3):385–402, 2006.

Bet18

Michael Betancourt. A conceptual introduction to hamiltonian monte carlo. 2018. arXiv:1701.02434.

BKM17

David M. Blei, Alp Kucukelbir, and Jon D. McAuliffe. Variational inference: a review for statisticians. Journal of the American Statistical Association, 112(518):859–877, apr 2017. URL: https://doi.org/10.1080%2F01621459.2017.1285773, doi:10.1080/01621459.2017.1285773.

BC14

Russell L. Burke and Anna M. Calichio. Temperature-dependent sex determination in the diamond-backed terrapin (malaclemys terrapin). Journal of Herpetology, 48(4):466–470, 2014. URL:, doi:.

CGS92a

Bradley P. Carlin, Alan E. Gelfand, and Adrian F. M. Smith. Hierarchical bayesian analysis of changepoint problems. Journal of the Royal Statistical Society. Series C (Applied Statistics), 41(2):389–405, 1992. URL: http://www.jstor.org/stable/2347570 (visited on 2023-08-27).

CGS92b

Bradley P. Carlin, Alan E. Gelfand, and Adrian F. M. Smith. Hierarchical bayesian analysis of changepoint problems. Journal of the Royal Statistical Society. Series C (Applied Statistics), 41(2):389–405, 1992.

DEF+10

Simon Day, Stephen Edwards, Carina Fearnley, Christopher Kilburn, Bill Mcguire, L Stanbrough, R Wall, S Delacroix, A James, A Smith, Victoria Sword-Daniels, N Tyler, Adrian Jones, F Roberts, PJ Tan, Eleanor Bailey, L Gaunt, Peter Sammonds, Filippos Vallianatos, and S Guillas. Volcanic hazard from iceland: analysis and implications of the eyjafjallajokull eruption. UCL INSTITUTE FOR RISK AND DISASTER REDUCTION, pages, 01 2010.

DKPR87

Simon Duane, A.D. Kennedy, Brian J. Pendleton, and Duncan Roweth. Hybrid monte carlo. Physics Letters B, 195(2):216–222, 1987. URL: https://www.sciencedirect.com/science/article/pii/037026938791197X, doi:https://doi.org/10.1016/0370-2693(87)91197-X.

EW16

Alexander Etz and Eric-Jan Wagenmakers. J. b. s. haldane's contribution to the bayes factor hypothesis test. 2016. URL: https://arxiv.org/abs/1511.08180, arXiv:1511.08180.

E+90

David A. Evans and others. Estimated prevalence of alzheimer’s disease in the united states. Milbank Quarterly, 68:267–289, 1990.

GD88

Paul H. Garthwaite and James M. Dickey. Quantifying expert opinion in linear regression problems. Journal of the Royal Statistical Society: Series B (Methodological), 50(3):462–474, 1988. URL: https://rss.onlinelibrary.wiley.com/doi/abs/10.1111/j.2517-6161.1988.tb01741.x, arXiv:https://rss.onlinelibrary.wiley.com/doi/pdf/10.1111/j.2517-6161.1988.tb01741.x, doi:https://doi.org/10.1111/j.2517-6161.1988.tb01741.x.

GOMuircheartaigh87

Donald P. Gaver and I. G. O'Muircheartaigh. Robust empirical bayes analyses of event rates. Technometrics, 29(1):1–15, 1987. URL: http://www.jstor.org/stable/1269878 (visited on 2023-08-27).

Gel08

Andrew Gelman. Scaling regression inputs by dividing by two standard deviations. Statistics in Medicine, 27(15):2865–2873, 2008. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/sim.3107, arXiv:https://onlinelibrary.wiley.com/doi/pdf/10.1002/sim.3107, doi:https://doi.org/10.1002/sim.3107.

GH17

Andrew Gelman and Christian Hennig. Beyond subjective and objective in statistics. Journal of the Royal Statistical Society: Series A (Statistics in Society), 180(4):967–1033, 2017.

GG84

Stuart Geman and Donald Geman. Stochastic relaxation, gibbs distributions, and the bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-6(6):721–741, 1984. doi:10.1109/TPAMI.1984.4767596.

GMS93

E. I. George, U. E. Makov, and A. F. M. Smith. Conjugate likelihood distributions. Scandinavian Journal of Statistics, 20(2):147–156, 1993. URL: http://www.jstor.org/stable/4616270 (visited on 2023-08-22).

GTS94

W. R. Gilks, A. Thomas, and D. J. Spiegelhalter. A language and program for complex bayesian modelling. Journal of the Royal Statistical Society. Series D (The Statistician), 43(1):169–177, 1994. URL: http://www.jstor.org/stable/2348941 (visited on 2023-08-20).

Hal32

J. B. S. Haldane. A note on inverse probability. Mathematical Proceedings of the Cambridge Philosophical Society, 28(1):55–61, 1932. doi:10.1017/S0305004100010495.

Has70

W. K. Hastings. Monte carlo sampling methods using markov chains and their applications. Biometrika, 57(1):97–109, 1970. URL: http://www.jstor.org/stable/2334940 (visited on 2023-07-16).

HLS84

C. Hendriksen, E. Lund, and E. Stromgard. Consequences of assessment and intervention among elderly people: a three year randomized controlled trial. British Medical Journal, 289:1522–1524, 1984. Data also analyzed from the Bayesian point of view by David Draper (UCSC) and his team.

HG11

Matthew D. Hoffman and Andrew Gelman. The no-u-turn sampler: adaptively setting path lengths in hamiltonian monte carlo. 2011. arXiv:1111.4246.

Jar79

R. G. Jarrett. A note on the intervals between coal-mining disasters. Biometrika, 66(1):191–193, 1979. URL: http://www.jstor.org/stable/2335266 (visited on 2023-08-27).

Jay03

E. T. Jaynes. Probability Theory: The Logic of Science. Cambridge University Press, 2003. doi:10.1017/CBO9780511790423.

Jef03

Harold Jeffreys. Theory of probability, 3rd Edition. Oxford Classic Texts in the Physical Sciences. Clarendon Press, 3 edition, 2003. ISBN 0198503687; 9780198503682.

JSNR88

C. David Jenkins, Babette-Ann Stanton, Steve J. Niemcryk, and Robert M. Rose. A scale for the estimation of sleep problems in clinical research. Journal of Clinical Epidemiology, 41(1):79–91, 1988. URL: https://doi.org/10.1016/0895-4356(88)90138-2, doi:10.1016/0895-4356(88)90138-2.

JL23

Chris Fonnesbeck Junpeng Lao, George Ho. Reparameterizing the weibull accelerated failure time model. In PyMC Team, editor, PyMC examples. 2023. URL: https://www.pymc.io/projects/examples/en/latest/survival_analysis/weibull_aft.html, doi:10.5281/zenodo.5654871.

KN08

Dimitris Karlis and Ioannis Ntzoufras. Bayesian modelling of football outcomes: using the Skellam's distribution for the goal difference. IMA Journal of Management Mathematics, 20(2):133–145, 09 2008. URL: https://doi.org/10.1093/imaman/dpn026, arXiv:https://academic.oup.com/imaman/article-pdf/20/2/133/2118878/dpn026.pdf, doi:10.1093/imaman/dpn026.

KR95

Robert E Kass and Adrian E Raftery. Bayes factors. Journal of the American Statistical Association, 90(430):773–795, 1995.

KW96

Robert E Kass and Larry Wasserman. The selection of prior distributions by formal rules. Journal of the American Statistical Association, 91(435):1343–1370, 1996.

KCHM19

Ravin Kumar, Colin Carroll, Ari Hartikainen, and Osvaldo Martin. Arviz a unified library for exploratory analysis of bayesian models in python. Journal of Open Source Software, 4(33):1143, 2019. URL: https://doi.org/10.21105/joss.01143, doi:10.21105/joss.01143.

KMLZH+22

Roland von Känel, Rebecca E. Meister-Langraf, Claudia Zuccarella-Hackl, Sarah L. F. Schiebler, Hansjörg Znoj, Aju P. Pazhenkottil, Jean-Paul Schmid, Jürgen Barth, Ulrich Schnyder, and Mary Princip. Sleep disturbance after acute coronary syndrome: a longitudinal study over 12 months. PLOS ONE, 17(5):e0269545, 2022. URL: https://doi.org/10.1371/journal.pone.0269545, doi:10.1371/journal.pone.0269545.

Lam18

Ben Lambert. A student's guide to bayesian statistics. A Student's Guide to Bayesian Statistics, pages 1–520, 2018.

LW13

Michael D Lee and Eric J. Wagenmakers. Bayesian Cognitive Modeling: A Practical Course. Cambridge University Press, 2013.

LJB+12

David Lunn, Chris Jackson, Nicky Best, Andrew Thomas, and David Spiegelhalter. The BUGS Book: A Practical Introduction to Bayesian Analysis. Chapman & Hall, 1 edition, 2012. ISBN 9781584888499. 91 B/W Illustrations.

MPW52

B. A. MAGUIRE, E. S. PEARSON, and A. H. A. WYNN. THE TIME INTERVALS BETWEEN INDUSTRIAL ACCIDENTS. Biometrika, 39(1-2):168–180, 05 1952. URL: https://doi.org/10.1093/biomet/39.1-2.168, arXiv:https://academic.oup.com/biomet/article-pdf/39/1-2/168/834479/39-1-2-168.pdf, doi:10.1093/biomet/39.1-2.168.

McE20

Richard McElreath. Statistical Rethinking: A Bayesian Course with Examples in R and Stan. CRC Press, Boca Raton, FL, 2nd edition, 2020. ISBN 978-0367139919.

MRR+53

Nicholas Metropolis, Arianna W. Rosenbluth, Marshall N. Rosenbluth, Augusta H. Teller, and Edward Teller. Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21(6):1087–1092, 1953.

MMC+23

Petrus Mikkola, Osvaldo A. Martin, Suyog Chandramouli, Marcelo Hartmann, Oriol Abril Pla, Owen Thomas, Henri Pesonen, Jukka Corander, Aki Vehtari, Samuel Kaski, Paul-Christian Bürkner, and Arto Klami. Prior knowledge elicitation: the past, present, and future. 2023. arXiv:2112.01380.

Mor83

Carl N. Morris. Parametric empirical bayes inference: theory and applications. Journal of the American Statistical Association, 78(381):47–55, 1983. URL: http://www.jstor.org/stable/2287098 (visited on 2023-07-10).

Ntz09

Ioannis Ntzoufras. Bayesian Modeling Using WinBUGS. John Wiley & Sons, Inc., Hoboken, New Jersey, 1 edition, 2009. ISBN 978-0-470-14114-4.

Rob64

Herbert Robbins. The empirical bayes approach to statistical decision problems. The Annals of Mathematical Statistics, 35(1):1–20, 1964. URL: https://www.jstor.org/stable/2238017 (visited on 2023-07-10).

Rob07

Christian P. Robert. The Bayesian Choice. Springer Texts in Statistics. Springer, New York, NY, 2nd edition, 2007. ISBN 978-0-387-71598-8. Hardcover ISBN: 978-0-387-95231-4, Published: 25 May 2001; Softcover ISBN: 978-0-387-71598-8, Published: 27 August 2007; eBook ISBN: 978-0-387-71599-5, Published: 19 May 2007. doi:10.1007/0-387-71599-1.

SFP94

David J. Spiegelhalter, Laurence S. Freedman, and Mahesh K. B. Parmar. Bayesian approaches to randomized trials. Journal of the Royal Statistical Society. Series A (Statistics in Society), 157(3):357–416, 1994. URL: http://www.jstor.org/stable/2983527 (visited on 2023-07-10).

SCN81

Donald M. Stablein, Walter H. Carter, and Joel W. Novak. Analysis of survival data with nonproportional hazard functions. Controlled Clinical Trials, 2(2):149–159, 1981. URL: https://www.sciencedirect.com/science/article/pii/0197245681900052, doi:https://doi.org/10.1016/0197-2456(81)90005-2.

SBV22

Teemu Säilynoja, Paul-Christian Bürkner, and Aki Vehtari. Graphical test for discrete uniformity and its applications in goodness-of-fit evaluation and multiple sample comparison. Statistics and Computing, mar 2022. URL: https://doi.org/10.1007%2Fs11222-022-10090-6, doi:10.1007/s11222-022-10090-6.

Vid17

Brani Vidakovic. Engineering Biostatistics: An Introduction using MATLAB and WinBUGS. Wiley, 2017. ISBN 978-1-119-16896-6.

Vin23

Benjamin T. Vincent. Bayesian regression with truncated or censored data. In PyMC Team, editor, PyMC examples. 2023. URL: https://www.pymc.io/projects/examples/en/latest/generalized_linear_models/GLM-truncated-censored-regression.html, doi:10.5281/zenodo.5654871.

WSV+23

Thomas Wiecki, John Salvatier, Ricardo Vieira, Maxim Kochurov, Anand Patil, Michael Osthege, Brandon T. Willard, Bill Engels, Colin Carroll, Osvaldo A Martin, Adrian Seyboldt, Austin Rochford, Luciano Paz, rpgoldman, Kyle Meyer, Peadar Coyle, Marco Edward Gorelli, Oriol Abril-Pla, Ravin Kumar, Junpeng Lao, Virgile Andreani, Taku Yoshioka, George Ho, Thomas Kluyver, Kyle Beauchamp, Alexandre Andorra, Demetri Pananos, Eelke Spaak, Benjamin Edwards, and Eric Ma. Pymc-devs/pymc: v5.7.2. aug 2023. URL: https://doi.org/10.5281/zenodo.8227797, doi:10.5281/zenodo.8227797.

ZRH+13

Alain Gustave Zeimet, Daniel Reimer, Monica Huszar, Boris J. Winterhoff, U. S. Puistola, Samira Abdel Azim, Elisabeth Müller-Holzner, A. Ben‐arie, Léon C. van Kempen, Edgar Petru, Stephan Wenzel Jahn, Yvette P. Geels, Leon Fag Massuger, Frédéric Amant, Stephan Polterauer, Elisa Lappi‐Blanco, Johan Bulten, Alexandra Meuter, Staci Tanouye, Peter Oppelt, Monika Stroh-Weigert, Alexander Reinthaller, Andrea Mariani, Werner O. Hackl, Michael Netzer, Uwe Schirmer, Ignace Vergote, Peter Altevogt, Christian Marth, and Mina Fogel. L1cam in early-stage type i endometrial cancer: results of a large multicenter evaluation. Journal of the National Cancer Institute, 105 15:1142–50, 2013. URL: https://api.semanticscholar.org/CorpusID:23394570.