@Book{Dobson1990,
  author    = {Dobson, A.~J.},
  title     = {{An Introduction to Generalized Linear Models}},
  publisher = {Chapman and Hall},
  address   = {London},
  year      = {1990}
}

@InCollection{Hastie1992,
  author    = {Hastie, T.~J. and Pregibon, D.},
  title     = {{Generalized Linear Models}},
  booktitle = {{Statistical Models in S}},
  editor    = {Chambers, J.~M. and Hastie, T.~J.},
  publisher = {Wadsworth & Brooks/Cole},
  address   = {Belmont, CA},
  chapter   = {6},
  year      = {1992}
}

@Book{McCullagh1989,
  author    = {McCullagh, P. and Nelder, J.~A.},
  title     = {{Generalized Linear Models}},
  publisher = {Chapman and Hall},
  address   = {London},
  year      = {1989}
}

@Article{Nygren2006,
  author    = {Nygren, K.~N. and Nygren, L.~M.},
  title     = {{Likelihood Subgradient Densities}},
  journal   = {Journal of the American Statistical Association},
  volume    = {101},
  number    = {475},
  pages     = {1144--1156},
  doi       = {10.1198/016214506000000357},
  year      = {2006}
}

@Article{Stone2010,
  author  = {Stone, John E. and Gohara, David and Shi, Guochun},
  title   = {OpenCL: {A} Parallel Programming Standard for Heterogeneous Computing Systems},
  journal = {Computing in Science \& Engineering},
  volume  = {12},
  number  = {3},
  pages   = {66--72},
  year    = {2010},
  doi     = {10.1109/MCSE.2010.69}
}

@Book{Raiffa1961,
  author    = {Raiffa, Howard and Schlaifer, R.},
  title     = {{Applied Statistical Decision Theory}},
  publisher = {Clinton Press, Inc.},
  address   = {Boston},
  year      = {1961}
}

@Book{VenablesRipley2002,
  author    = {Venables, W.~N. and Ripley, B.~D.},
  title     = {{Modern Applied Statistics with S}},
  publisher = {Springer},
  address   = {New York},
  year      = {2002}
}

@incollection{zellner1986gprior,
  author    = {Zellner, Arnold},
  title     = {On Assessing Prior Distributions and Bayesian Regression Analysis with g‐Prior Distributions},
  booktitle = {Bayesian Inference and Decision Techniques: Essays in Honor of Bruno de Finetti},
  editor    = {Goel, P.~K. and Zellner, Arnold},
  series    = {Studies in Bayesian Econometrics and Statistics},
  volume    = {6},
  publisher = {Elsevier},
  year      = {1986},
  pages     = {233--243}
}  
  
@incollection{ChambersHastie1992,
  author    = {Chambers, J.~M. and Hastie, T.~J.},
  title     = {Linear Models},
  booktitle = {Statistical Models in S},
  editor    = {Chambers, J.~M. and Hastie, T.~J.},
  publisher = {Wadsworth & Brooks/Cole},
  year      = {1992},
  chapter   = {4},
  pages     = {85--124}
}  

@incollection{Chambers1992,
  author    = {Chambers, John M.},
  title     = {Linear Models},
  booktitle = {Statistical Models in S},
  editor    = {Chambers, John M. and Hastie, Trevor J.},
  publisher = {Wadsworth & Brooks/Cole},
  address   = {Pacific Grove, CA},
  year      = {1992},
  chapter   = {4},
  pages     = {85--124}
}

@article{WilkinsonRogers1973,
  author  = {Wilkinson, G. N. and Rogers, C. E.},
  title   = {Symbolic Descriptions of Factorial Models for Analysis of Variance},
  journal = {Applied Statistics},
  volume  = {22},
  number  = {3},
  pages   = {392--399},
  year    = {1973},
  doi     = {10.2307/2346786}
}

@article{Spiegelhalter2002,
  author    = {Spiegelhalter, David J. and Best, Nicky G. and Carlin, Bradley P. and van der Linde, Angelika},
  title     = {Bayesian Measures of Model Complexity and Fit},
  journal   = {Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
  volume    = {64},
  number    = {4},
  pages     = {583--639},
  year      = {2002},
  doi       = {10.1111/1467-9868.00353}
}

@book{BernardoSmith1994,
  author    = {José M. Bernardo and Adrian F. M. Smith},
  title     = {Bayesian Theory},
  year      = {1994},
  publisher = {Wiley}
}


@book{Gelman2013,
  author    = {Andrew Gelman and John B. Carlin and Hal S. Stern and David B. Dunson and Aki Vehtari and Donald B. Rubin},
  title     = {Bayesian Data Analysis},
  edition   = {3rd},
  year      = {2013},
  publisher = {CRC Press}
}

@article{LindleySmith1972,
  author  = {Lindley, D. V. and Smith, A. F. M.},
  title   = {Bayes Estimates for the Linear Model},
  journal = {Journal of the Royal Statistical Society. Series B (Methodological)},
  volume  = {34},
  number  = {1},
  pages   = {1--41},
  year    = {1972},
  doi     = {10.1111/j.2517-6161.1972.tb00899.x}
}
 
@article{DiaconisYlvisaker1979,
  author  = {Diaconis, Persi and Ylvisaker, Donald},
  title   = {Conjugate Priors for Exponential Families},
  journal = {Annals of Statistics},
  volume  = {7},
  number  = {2},
  pages   = {269--281},
  year    = {1979},
  doi     = {10.1214/aos/1176344069}
} 
  
@article{Chen1979,
  author  = {Chen, C.-F.},
  title   = {Bayesian Inference for a Normal Dispersion Matrix and Its Application to Stochastic Multiple Regression Analysis},
  journal = {Journal of the Royal Statistical Society. Series B (Methodological)},
  volume  = {41},
  number  = {2},
  pages   = {235--248},
  year    = {1979},
  doi     = {10.1111/j.2517-6161.1979.tb01078.x}
}

@Misc{glmbayesGammaVignette,
  author       = {Nygren, Kjell},
  title        = {Gamma Dispersion Sampling in glmbayes},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: gamma-dispersion}
}

@Misc{glmbayesIndNormGammaVignette,
  author       = {Nygren, Kjell},
  title        = {Independent Normal--Gamma Regression Sampler},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: independent-norm-gamma}
}
 
@Misc{glmbayesSimmethods,
  author       = {Nygren, Kjell},
  title        = {Chapter A05: Simulation Methods -- Likelihood Subgradient Densities},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-A05}
}


@article{GriffinBrown2010,
  author  = {Griffin, Jim E. and Brown, Philip J.},
  title   = {Inference with Normal-Gamma Prior Distributions in Regression Problems},
  journal = {Bayesian Analysis},
  volume  = {5},
  number  = {1},
  pages   = {171--188},
  year    = {2010},
  doi     = {10.1214/10-BA507}
}

@article{Christen2023,
  author  = {Christen, J. Andrés},
  title   = {Bayesian Linear Models: A Compact General Set of Results},
  journal = {arXiv preprint arXiv:2406.01819},
  year    = {2023},
  url     = {https://arxiv.org/abs/2406.01819}
}


@book{OHaganForster2004,
  author    = {O'Hagan, Anthony and Forster, Jonathan},
  title     = {Kendall's Advanced Theory of Statistics, Volume 2B: Bayesian Inference},
  publisher = {Arnold},
  year      = {2004},
  isbn      = {978-0340763593}
}

@article{ParkCasella2008,
  author  = {Park, Trevor and Casella, George},
  title   = {The Bayesian Lasso},
  journal = {Journal of the American Statistical Association},
  volume  = {103},
  number  = {482},
  pages   = {681--686},
  year    = {2008},
  doi     = {10.1198/016214508000000337}
}

@article{Cook1977,
  author  = {Cook, R. Dennis},
  title   = {Detection of influential observation in linear regression},
  journal = {Technometrics},
  volume  = {19},
  number  = {1},
  pages   = {15--18},
  year    = {1977},
  doi     = {10.2307/1268249}
}

@book{BelsleyKuhWelsch1980,
  author    = {Belsley, David A. and Kuh, Edwin and Welsch, Roy E.},
  title     = {Regression Diagnostics: Identifying Influential Data and Sources of Collinearity},
  publisher = {Wiley},
  address   = {New York},
  year      = {1980},
  doi       = {10.1002/0471725153}
}

@article{Akaike1974,
  author  = {Akaike, Hirotugu},
  title   = {A new look at the statistical model identification},
  journal = {IEEE Transactions on Automatic Control},
  volume  = {19},
  number  = {6},
  pages   = {716--723},
  year    = {1974},
  doi     = {10.1109/TAC.1974.1100705}
}

@article{Mahalanobis1936,
  author  = {Mahalanobis, P. C.},
  title   = {On the generalized distance in statistics},
  journal = {Proceedings of the National Institute of Sciences of India},
  volume  = {2},
  number  = {1},
  pages   = {49--55},
  year    = {1936}
}

@article{EvansMoshonov2006,
  author  = {Evans, Michael and Moshonov, Hadas},
  title   = {Checking for prior-data conflict},
  journal = {Bayesian Analysis},
  volume  = {1},
  number  = {4},
  pages   = {893--914},
  year    = {2006},
  doi     = {10.1214/06-BA129}
}

@Misc{glmbayesChapterA01,
  author       = {Nygren, Kjell},
  title        = {Chapter A01: A detailed overview of the glmbayes package},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-A01}
}

@Misc{glmbayesChapterA02,
  author       = {Nygren, Kjell},
  title        = {Chapter A02: Overview of Estimation Procedures},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-A02}
}

@Misc{glmbayesChapterA03,
  author       = {Nygren, Kjell},
  title        = {Chapter A03: Methods available in glmbayes},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-A03}
}

@Misc{glmbayesChapterA04,
  author       = {Nygren, Kjell},
  title        = {Chapter A04: Directional Tail Diagnostics for Prior-Posterior Disagreement},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-A04}
}

@Misc{glmbayesChapter00,
  author       = {Nygren, Kjell},
  title        = {Chapter 00: Introduction},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-00}
}

@Misc{glmbayesChapter03,
  author       = {Nygren, Kjell},
  title        = {Chapter 03: Tailoring Priors - Leveraging the Prior\_Setup Function},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-03}
}

@Misc{glmbayesChapter04,
  author       = {Nygren, Kjell},
  title        = {Chapter 04: Predictions, Deviance Residuals, Model Statistics},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-04}
}

@Misc{glmbayesChapterA08,
  author       = {Nygren, Kjell},
  title        = {Chapter A08: Overview of Envelope Related Functions},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-A08}
}

@Misc{glmbayesChapterA10,
  author       = {Nygren, Kjell},
  title        = {Chapter A10: Accelerated EnvelopeBuild Implementation using OpenCL},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-A10}
}

@Misc{glmbayesChapterA12,
  author       = {Nygren, Kjell},
  title        = {Chapter A12: Technical Derivations for Priors Returned by Prior\_Setup},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-A12}
}

@Misc{glmbayesChapter12,
  author       = {Nygren, Kjell},
  title        = {Chapter 12: Large Models: GPU Acceleration using OpenCL},
  howpublished = {Vignette in the glmbayes R package},
  year         = {2025},
  note         = {R vignette name: Chapter-12}
}

@book{Agresti2015,
  author    = {Agresti, Alan},
  title     = {Foundations of Linear and Generalized Linear Models},
  publisher = {Cambridge University Press},
  address   = {New York},
  year      = {2015},
  isbn      = {978-0521198303}
}

@book{HamiltonFairley2004,
  author    = {Hamilton-Fairley, Diana},
  title     = {Lecture Notes: Obstetrics and Gynaecology},
  publisher = {Blackwell Publishing},
  address   = {Oxford},
  year      = {2004}
}

@article{NelderWedderburn1972,
  author  = {Nelder, J. A. and Wedderburn, R. W. M.},
  title   = {Generalized Linear Models},
  journal = {Journal of the Royal Statistical Society. Series A (General)},
  volume  = {135},
  number  = {3},
  pages   = {370--384},
  year    = {1972},
  doi     = {10.2307/2344614}
}

@book{HartEtAl1968,
  author    = {Hart, John F. and Cheney, E. W. and Lawson, Charles L. and Maehly, Hans J. and Mesztenyi, Charles K. and Rice, John R. and Thacher, Henry G. and Witzgall, Christoph},
  title     = {Computer Approximations},
  publisher = {Wiley},
  address   = {New York},
  year      = {1968}
}

@book{Bryc2002,
  author    = {Bryc, Wlodzimierz},
  title     = {Normal Distribution: Characterizations with Applications},
  publisher = {Springer},
  address   = {New York},
  year      = {2002}
}

@Article{PlummerEtAl2006,
  author  = {Plummer, Martyn and Best, Nicky and Cowles, Kate and Vines, Karen},
  title   = {{CODA}: Convergence Diagnosis and Output Analysis for {MCMC}},
  journal = {R News},
  year    = {2006},
  volume  = {6},
  number  = {1},
  pages   = {7--11},
  url     = {https://CRAN.R-project.org/doc/Rnews/}
}

@book{GelmanHill2007,
  author    = {Gelman, Andrew and Hill, Jennifer},
  title     = {Data Analysis Using Regression and Multilevel/Hierarchical Models},
  publisher = {Cambridge University Press},
  address   = {Cambridge, UK},
  year      = {2007}
}

@book{RobertCasella2004,
  author    = {Robert, Christian P. and Casella, George},
  title     = {Monte Carlo Statistical Methods},
  edition   = {2nd},
  publisher = {Springer},
  address   = {New York},
  year      = {2004}
}

@book{Devroye1986,
  author    = {Devroye, Luc},
  title     = {Non-Uniform Random Variate Generation},
  publisher = {Springer},
  address   = {New York},
  year      = {1986}
}

@article{BaileySimon1960,
  author  = {Bailey, R. A. and Simon, LeRoy J.},
  title   = {Two studies in automobile insurance ratemaking},
  journal = {ASTIN Bulletin},
  year    = {1960},
  pages   = {192--217}
}

@Misc{statsciCarinsca,
  title        = {Canadian automobile insurance claims (carinsca)},
  howpublished = {Dataset page http://www.statsci.org/data/general/carinsca.html},
  year         = {2024},
  note         = {Classical Poisson and Gamma regression examples; source notes in Bailey and Simon (1960)}
}

%% ---------------------------------------------------------------------------
%% Algorithm references for the ported nmath distribution routines.
%% These mirror the References sections of the corresponding CPU help pages
%% in R (stats/base); see dev/CL_ROUTINE_REFERENCES.md for the mapping.
%% ---------------------------------------------------------------------------

@book{AbramowitzStegun1972,
  author    = {Abramowitz, Milton and Stegun, Irene A.},
  title     = {Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables},
  publisher = {Dover Publications},
  address   = {New York},
  year      = {1972},
  isbn      = {0486612724}
}

@article{AhrensDieter1972,
  author  = {Ahrens, Joachim H. and Dieter, Ulrich},
  title   = {Computer Methods for Sampling from the Exponential and Normal Distributions},
  journal = {Communications of the ACM},
  year    = {1972},
  volume  = {15},
  number  = {10},
  pages   = {873--882},
  doi     = {10.1145/355604.361593}
}

@article{AhrensDieter1974,
  author  = {Ahrens, Joachim H. and Dieter, Ulrich},
  title   = {Computer Methods for Sampling from Gamma, Beta, Poisson and Binomial Distributions},
  journal = {Computing},
  year    = {1974},
  volume  = {12},
  number  = {3},
  pages   = {223--246},
  doi     = {10.1007/bf02293108}
}

@article{AhrensDieter1982gamma,
  author  = {Ahrens, Joachim H. and Dieter, Ulrich},
  title   = {Generating Gamma Variates by a Modified Rejection Technique},
  journal = {Communications of the ACM},
  year    = {1982},
  volume  = {25},
  number  = {1},
  pages   = {47--54},
  doi     = {10.1145/358315.358390}
}

@article{AhrensDieter1982poisson,
  author  = {Ahrens, Joachim H. and Dieter, Ulrich},
  title   = {Computer Generation of Poisson Deviates from Modified Normal Distributions},
  journal = {ACM Transactions on Mathematical Software},
  year    = {1982},
  volume  = {8},
  number  = {2},
  pages   = {163--179},
  doi     = {10.1145/355993.355997}
}

@article{Amos1983,
  author  = {Amos, Donald E.},
  title   = {Algorithm 610: A Portable {FORTRAN} Subroutine for Derivatives of the Psi Function},
  journal = {ACM Transactions on Mathematical Software},
  year    = {1983},
  volume  = {9},
  number  = {4},
  pages   = {494--502},
  doi     = {10.1145/356056.356065}
}

@book{BeckerChambersWilks1988,
  author    = {Becker, Richard A. and Chambers, John M. and Wilks, Allan R.},
  title     = {The New {S} Language},
  publisher = {Chapman and Hall/CRC},
  address   = {London},
  year      = {1988},
  isbn      = {053409192X}
}

@article{BestRoberts1975,
  author  = {Best, Donald J. and Roberts, D. E.},
  title   = {Algorithm {AS} 89: The Upper Tail Probabilities of {Spearman}'s Rho},
  journal = {Applied Statistics},
  year    = {1975},
  volume  = {24},
  number  = {3},
  pages   = {377--379},
  doi     = {10.2307/2347111}
}

@article{BrownLevy1994,
  author  = {Brown, Barry W. and Levy, Lawrence B.},
  title   = {Certification of Algorithm 708: Significant-Digit Computation of the Incomplete Beta},
  journal = {ACM Transactions on Mathematical Software},
  year    = {1994},
  volume  = {20},
  number  = {3},
  pages   = {393--397},
  doi     = {10.1145/192115.192155}
}

@article{Cheng1978,
  author  = {Cheng, Russell C. H.},
  title   = {Generating Beta Variates with Nonintegral Shape Parameters},
  journal = {Communications of the ACM},
  year    = {1978},
  volume  = {21},
  number  = {4},
  pages   = {317--322},
  doi     = {10.1145/359460.359482}
}

@article{Cody1993,
  author  = {Cody, William J.},
  title   = {Algorithm 715: {SPECFUN} -- A Portable {FORTRAN} Package of Special Function Routines and Test Drivers},
  journal = {ACM Transactions on Mathematical Software},
  year    = {1993},
  volume  = {19},
  number  = {1},
  pages   = {22--30},
  doi     = {10.1145/151271.151273}
}

@article{CopenhaverHolland1988,
  author  = {Copenhaver, Margaret Diponzio and Holland, Burt S.},
  title   = {Computation of the Distribution of the Maximum Studentized Range Statistic with Application to Multiple Significance Testing of Simple Effects},
  journal = {Journal of Statistical Computation and Simulation},
  year    = {1988},
  volume  = {30},
  number  = {1},
  pages   = {1--15},
  doi     = {10.1080/00949658808811082}
}

@article{CranMartinThomas1977,
  author  = {Cran, G. W. and Martin, K. J. and Thomas, G. E.},
  title   = {Remark {AS} {R19} and Algorithm {AS} 109: A Remark on Algorithms {AS} 63: The Incomplete Beta Integral, {AS} 64: Inverse of the Incomplete Beta Function Ratio},
  journal = {Applied Statistics},
  year    = {1977},
  volume  = {26},
  number  = {1},
  pages   = {111--114},
  doi     = {10.2307/2346887}
}

@article{DidonatoMorris1992,
  author  = {Didonato, Armido R. and Morris, Jr., Alfred H.},
  title   = {Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios},
  journal = {ACM Transactions on Mathematical Software},
  year    = {1992},
  volume  = {18},
  number  = {3},
  pages   = {360--373},
  doi     = {10.1145/131766.131776}
}

@article{Ding1992,
  author  = {Ding, Cherng G.},
  title   = {Algorithm {AS} 275: Computing the Non-Central Chi-Squared Distribution Function},
  journal = {Applied Statistics},
  year    = {1992},
  volume  = {41},
  number  = {2},
  pages   = {478--482},
  doi     = {10.2307/2347584}
}

@article{Frick1990,
  author  = {Frick, H.},
  title   = {Algorithm {AS} {R84}: A Remark on Algorithm {AS} 226: Computing Non-Central Beta Probabilities},
  journal = {Applied Statistics},
  year    = {1990},
  volume  = {39},
  number  = {2},
  pages   = {311--312},
  doi     = {10.2307/2347780}
}

@article{Hill1970,
  author  = {Hill, G. W.},
  title   = {{ACM} Algorithm 395: {Student}'s t-Distribution},
  journal = {Communications of the ACM},
  year    = {1970},
  volume  = {13},
  number  = {10},
  pages   = {617--619},
  doi     = {10.1145/355598.355599}
}

@article{Hill1981,
  author  = {Hill, G. W.},
  title   = {Remark on ``{Algorithm} 396: {Student}'s t-Quantiles''},
  journal = {ACM Transactions on Mathematical Software},
  year    = {1981},
  volume  = {7},
  number  = {2},
  pages   = {250--251},
  doi     = {10.1145/355945.355956}
}

@book{JohnsonKotzBalakrishnan1994,
  author    = {Johnson, Norman L. and Kotz, Samuel and Balakrishnan, Narayanaswamy},
  title     = {Continuous Univariate Distributions},
  volume    = {1},
  edition   = {2nd},
  publisher = {Wiley},
  address   = {New York},
  year      = {1994},
  isbn      = {978-0-471-58495-7}
}

@book{JohnsonKotzBalakrishnan1995,
  author    = {Johnson, Norman L. and Kotz, Samuel and Balakrishnan, Narayanaswamy},
  title     = {Continuous Univariate Distributions},
  volume    = {2},
  edition   = {2nd},
  publisher = {Wiley},
  address   = {New York},
  year      = {1995},
  isbn      = {978-0-471-58494-0}
}

@book{JohnsonKotzKemp1993,
  author    = {Johnson, Norman L. and Kotz, Samuel and Kemp, Adrienne W.},
  title     = {Univariate Discrete Distributions},
  edition   = {2nd},
  publisher = {Wiley},
  address   = {New York},
  year      = {1993},
  isbn      = {978-0471548973}
}

@article{KachitvichyanukulSchmeiser1985,
  author  = {Kachitvichyanukul, Voratas and Schmeiser, Bruce W.},
  title   = {Computer Generation of Hypergeometric Random Variates},
  journal = {Journal of Statistical Computation and Simulation},
  year    = {1985},
  volume  = {22},
  number  = {2},
  pages   = {127--145},
  doi     = {10.1080/00949658508810839}
}

@article{KachitvichyanukulSchmeiser1988,
  author  = {Kachitvichyanukul, Voratas and Schmeiser, Bruce W.},
  title   = {Binomial Random Variate Generation},
  journal = {Communications of the ACM},
  year    = {1988},
  volume  = {31},
  number  = {2},
  pages   = {216--222},
  doi     = {10.1145/42372.42381}
}

@article{Lam1995,
  author  = {Lam, M. L.},
  title   = {Remark {AS} {R95}: A Remark on Algorithm {AS} 226: Computing Non-Central Beta Probabilities},
  journal = {Applied Statistics},
  year    = {1995},
  volume  = {44},
  number  = {4},
  pages   = {551--552},
  doi     = {10.2307/2986147}
}

@article{Lenth1987,
  author  = {Lenth, Russell V.},
  title   = {Algorithm {AS} 226: Computing Noncentral Beta Probabilities},
  journal = {Applied Statistics},
  year    = {1987},
  volume  = {36},
  number  = {2},
  pages   = {241--244},
  doi     = {10.2307/2347558}
}

@article{Lenth1989,
  author  = {Lenth, Russell V.},
  title   = {Algorithm {AS} 243: Cumulative Distribution Function of the Non-Central t Distribution},
  journal = {Applied Statistics},
  year    = {1989},
  volume  = {38},
  number  = {1},
  pages   = {185--189},
  doi     = {10.2307/2347693}
}

@techreport{Loader2000,
  author      = {Loader, Catherine},
  title       = {Fast and Accurate Computation of Binomial Probabilities},
  institution = {Bell Laboratories},
  year        = {2000},
  url         = {https://www.r-project.org/doc/reports/CLoader-dbinom-2002.pdf}
}

@Misc{NISTDLMF,
  author       = {{NIST}},
  title        = {{NIST} Digital Library of Mathematical Functions},
  howpublished = {\url{https://dlmf.nist.gov/}},
  year         = {2024},
  note         = {Section 8.2}
}

@article{OdehEvans1974,
  author  = {Odeh, Robert E. and Evans, J. O.},
  title   = {Algorithm {AS} 70: The Percentage Points of the Normal Distribution},
  journal = {Applied Statistics},
  year    = {1974},
  volume  = {23},
  number  = {1},
  pages   = {96--97},
  doi     = {10.2307/2347061}
}

@article{Shea1988,
  author  = {Shea, B. L.},
  title   = {Algorithm {AS} 239: Chi-Squared and Incomplete Gamma Integral},
  journal = {Applied Statistics},
  year    = {1988},
  volume  = {37},
  number  = {3},
  pages   = {466--473},
  doi     = {10.2307/2347328}
}

@article{Wichura1988,
  author  = {Wichura, Michael J.},
  title   = {Algorithm {AS} 241: The Percentage Points of the Normal Distribution},
  journal = {Applied Statistics},
  year    = {1988},
  volume  = {37},
  number  = {3},
  pages   = {477--484},
  doi     = {10.2307/2347330}
}
