@Book{Gittins2011,
author = {Gittins, John and Glazebrook, Kevin and Weber, Richard},
year = {2011},
month = {02},
pages = {},
title = {Multi-Armed Bandit Allocation Indices, 2nd Edition},
volume = {33},
isbn = {9780470670026},
doi = {10.1002/9780470980033.ch8},
publisher={Hoboken,NJ:John Wiley & Sons}
}

@Article{Villar2015,
author = {Villar, Sofia and Wason, James and Bowden, Jack},
year = {2015},
month = {06},
pages = {},
title = {Response-Adaptive Randomization for Multi-arm Clinical Trials Using the Forward Looking Gittins Index Rule},
volume = {71},
journal = {Biometrics},
doi = {10.1111/biom.12337}
}

@Article{Williamson2019,
author = {Williamson, S. Faye and Villar, Sofia},
year = {2019},
month = {07},
pages = {},
title = {A Response‐Adaptive Randomization Procedure for Multi‐Armed Clinical Trials with Normally Distributed Outcomes},
volume = {76},
journal = {Biometrics},
doi = {10.1111/biom.13119}
}

@Article{Smith2017,
author = {Smith, Adam and Villar, Sofia},
year = {2017},
month = {03},
pages = {},
title = {Bayesian adaptive bandit-based designs using the Gittins index for multi-armed trials with normally distributed endpoints},
volume = {45},
journal = {Journal of Applied Statistics},
doi = {10.1080/02664763.2017.1342780}
}

@Article{Wei1978,
 author = {L. J. Wei and S. Durham},
 journal = {Journal of the American Statistical Association},
 number = {364},
 pages = {840--843},
 publisher = {[American Statistical Association, Taylor & Francis, Ltd.]},
 title = {The Randomized Play-the-Winner Rule in Medical Trials},
 volume = {73},
 year = {1978}
}

@Article{Hu2004,  
 author = {Feifang Hu and Li-Xin Zhang},
 journal = {The Annals of Statistics},
 number = {1},
 pages = {268--301},
 publisher = {Institute of Mathematical Statistics},
 title = {Asymptotic Properties of Doubly Adaptive Biased Coin Designs for Multitreatment Clinical Trials},
 volume = {32},
 year = {2004}
}


@Book{Rosenberger2015,
  title={Randomization in Clinical Trials: Theory and Practice},
  author={Rosenberger, W.F. and Lachin, J.M.},
  isbn={9781118742242},
  lccn={2015024511},
  series={Wiley Series in Probability and Statistics},
  url={https://books.google.com.hk/books?id=ZJEvCgAAQBAJ},
  year={2015},
  publisher={Wiley}
}


@Article{Tymofyeyev2007,  
author = {Yevgen Tymofyeyev and William F Rosenberger and Feifang Hu},
title = {Implementing Optimal Allocation in Sequential Binary Response Experiments},
journal = {Journal of the American Statistical Association},
volume = {102},
number = {477},
pages = {224-234},
year  = {2007},
publisher = {Taylor & Francis},
doi = {10.1198/016214506000000906}
}


@Article{Jeon2010,
author = {Jeon, Youngsook and Feifang, Hu},
year = {2010},
month = {08},
pages = {310-318},
title = {Optimal Adaptive Designs for Binary Response Trials With Three Treatments},
volume = {2},
journal = {Statistics in Biopharmaceutical Research},
doi = {10.1198/sbr.2009.0056}
}


@Article{Sabo2016,
author = {Sabo, Roy and Bello, Ghalib},
year = {2016},
month = {04},
pages = {},
title = {Optimal and lead-in adaptive allocation for binary outcomes: a comparison of Bayesian methodologies},
volume = {46},
journal = {Communications in Statistics - Theory and Methods}
}

@Article{Oleksandr2013,
author = {Sverdlov, Oleksandr and Rosenberger, William},
year = {2013},
month = {10},
pages = {753-773},
title = {On Recent Advances in Optimal Allocation Designs in Clinical Trials},
volume = {7},
journal = {Journal of Statistical Theory and Practice},
doi = {10.1080/15598608.2013.783726}
}


@Article{Biswas2011,
title = {Multi-treatment optimal response-adaptive designs for phase III clinical trials},
journal = {Journal of the Korean Statistical Society},
volume = {40},
number = {1},
pages = {33-44},
year = {2011},
issn = {1226-3192},
doi = {https://doi.org/10.1016/j.jkss.2010.04.004},
author = {Atanu Biswas and Saumen Mandal and Rahul Bhattacharya}
}

@InBook{Biswas2004,
author={Biswas, A. and Mandal, S.},
editor={Di Bucchianico, Alessandro and L{\"a}uter, Henning and Wynn, Henry P.},
title={Optimal Adaptive Designs in Phase III Clinical Trials for Continuous Responses with Covariates},
booktitle={mODa 7 --- Advances in Model-Oriented Design and Analysis},
year={2004},
publisher={Physica-Verlag HD},
address={Heidelberg},
pages={51--59},
isbn={978-3-7908-2693-7},
chapter={6}
}


@Article{Thall2007,  
author = {Thall, Peter and Wathen, J},
year = {2007},
month = {04},
pages = {859-66},
title = {Practical Bayesian Adaptive Randomization in Clinical Trials},
volume = {43},
journal = {European journal of cancer (Oxford, England : 1990)},
doi = {10.1016/j.ejca.2007.01.006}
}


@Article{Wathen2017,
author = {Wathen, J and Thall, Peter},
year = {2017},
month = {02},
pages = {174077451769230},
title = {A simulation study of outcome adaptive randomization in multi-arm clinical trials},
volume = {14},
journal = {Clinical Trials},
doi = {10.1177/1740774517692302}
}


@inbook{Wathen2019,
author = {Wathen, J.},
year = {2019},
month = {11},
pages = {267-285},
title = {Simulation for Bayesian Adaptive Designs—Step-by-Step Guide for Developing the Necessary R Code},
isbn = {9781315099798},
doi = {10.1201/9781315099798-12},
publisher={CRC Press: Taylor & Francis Group},
chapter={12}
}


@TechReport{Kevin2007,
author = {Murphy, Kevin},
year = {2007},
month = {11},
title = {Conjugate Bayesian analysis of the Gaussian distribution},
url = {https://www.cs.ubc.ca/~murphyk/Papers/bayesGauss.pdf},
institution={University of British Columbia}
}

@Book{Atkinson2013,
author = {Atkinson, Anthony and Biswas, Atanu},
year = {2013},
month = {12},
title = {Randomised Response-Adaptive Designs in Clinical Trials},
isbn = {9780429145568},
doi = {10.1201/b16101},
publisher={CRC Press: Taylor & Francis Group}
}

@Manual{gittins,
    title = {gittins: Calculate Gittins Indices},
    author = {James Edwards},
    year = {2023},
    note = {R package version 0.1.0},
  }