biblio.bib

@book{giraud2014introduction,
  title={Introduction to high-dimensional statistics},
  author={Giraud, Christophe},
  volume={138},
  year={2014},
  publisher={CRC Press}
}

@article{verzelen2012,
author = "Verzelen, Nicolas",
doi = "10.1214/12-EJS666",
fjournal = "Electronic Journal of Statistics",
journal = "Electron. J. Statist.",
pages = "38--90",
publisher = "The Institute of Mathematical Statistics and the Bernoulli Society",
title = "Minimax risks for sparse regressions: Ultra-high dimensional phenomenons",
url = "https://doi.org/10.1214/12-EJS666",
volume = "6",
year = "2012"
}


@article{zhao2006model,
  title={On model selection consistency of Lasso},
  author={Zhao, Peng and Yu, Bin},
  journal={Journal of Machine learning research},
  volume={7},
  number={Nov},
  pages={2541--2563},
  year={2006}
}

@article{bickel2009,
author = "Bickel, Peter J. and Ritov, Ya’acov and Tsybakov, Alexandre B.",
doi = "10.1214/08-AOS620",
fjournal = "Annals of Statistics",
journal = "Ann. Statist.",
month = "08",
number = "4",
pages = "1705--1732",
publisher = "The Institute of Mathematical Statistics",
title = "Simultaneous analysis of Lasso and Dantzig selector",
url = "https://doi.org/10.1214/08-AOS620",
volume = "37",
year = "2009"
}


@article{koltchinskii2011,
author = "Koltchinskii, Vladimir and Lounici, Karim and Tsybakov, Alexandre B.",
doi = "10.1214/11-AOS894",
fjournal = "Annals of Statistics",
journal = "Ann. Statist.",
month = "10",
number = "5",
pages = "2302--2329",
publisher = "The Institute of Mathematical Statistics",
title = "Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion",
url = "https://doi.org/10.1214/11-AOS894",
volume = "39",
year = "2011"
}

@article{tibshirani1996regression,
  title={Regression shrinkage and selection via the lasso},
  author={Tibshirani, Robert},
  journal={Journal of the Royal Statistical Society: Series B (Methodological)},
  volume={58},
  number={1},
  pages={267--288},
  year={1996},
  publisher={Wiley Online Library}
}

@misc{rule-of-successino,
  author = {Wikipedia},
  title = {{Rule of succession}},
  howpublished = "\url{https://en.wikipedia.org/wiki/Rule_of_succession/}",
  year = {2020},
}


@book{bishop2006pattern,
  title={Pattern recognition and machine learning},
  author={Bishop, Christopher M},
  year={2006},
  publisher={springer}
}


@techreport{stein1956inadmissibility,
  title={Inadmissibility of the usual estimator for the mean of a multivariate normal distribution},
  author={Stein, Charles},
  year={1956},
  institution={Stanford University Stanford United States}
}

@book{lehmann2006theory,
  title={Theory of point estimation},
  author={Lehmann, Erich L and Casella, George},
  year={2006},
  publisher={Springer Science \& Business Media}
}

@article{wasserstein-p-values,
author = {Ronald L. Wasserstein and Allen L. Schirm and Nicole A. Lazar},
title = {Moving to a World Beyond p < 0.05},
journal = {The American Statistician},
volume = {73},
number = {sup1},
pages = {1-19},
year  = {2019},
publisher = {Taylor & Francis},
}


@article{mourtada_leastsquares,
  title={Exact minimax risk for linear least squares, and the lower tail of sample covariance matrices},
  author={Mourtada, Jaouad},
  journal={arXiv preprint},
  year={2020},
}

@book{mourtadaphd,
  title={Contributions to statistical learning: density estimation, expert aggregation and random forests},
  author={Mourtada, Jaouad},
  year={2019},
}


@misc{tao-berry-esseen,
  author = {Terrence Tao},
  title = {{254A, Notes 2: The central limit theorem}},
  howpublished = "\url{https://terrytao.wordpress.com/2010/01/05/254a-notes-2-the-central-limit-theorem/}",
  year = {2010},
}


https://terrytao.wordpress.com/2010/01/05/254a-notes-2-the-central-limit-theorem/#more-3281

@book{massart2007concentration,
  title={Concentration inequalities and model selection},
  author={Massart, Pascal},
  volume={6},
  year={2007},
  publisher={Springer}
}

@book{tsybakov2008introduction,
  title={Introduction to nonparametric estimation},
  author={Tsybakov, Alexandre B},
  year={2008},
  publisher={Springer Science \& Business Media}
}

@book{wasserman2006all,
  title={All of nonparametric statistics},
  author={Wasserman, Larry},
  year={2006},
  publisher={Springer Science \& Business Media}
}

@book{lawler2010random,
  title={Random walk: a modern introduction},
  author={Lawler, Gregory F and Limic, Vlada},
  volume={123},
  year={2010},
  publisher={Cambridge University Press}
}

@book{murphy2012probabilistic,
  title={Machine Learning, A Probabilistic Perspective},
  author={Murphy, Kevin P},
  year={2012},
  publisher={MIT Press}
}

@book{goodfellow2016deep,
  title={Deep learning},
  author={Goodfellow, Ian and Bengio, Yoshua and Courville, Aaron},
  year={2016},
  publisher={MIT press}
}


@article{esseen1956moment,
  title={A moment inequality with an application to the central limit theorem},
  author={Esseen, Carl-Gustav},
  journal={Scandinavian Actuarial Journal},
  volume={1956},
  number={2},
  pages={160--170},
  year={1956},
  publisher={Taylor \& Francis}
}


@article{shevtsova2011absolute,
  title={On the absolute constants in the Berry-Esseen type inequalities for identically distributed summands},
  author={Shevtsova, Irina},
  journal={arXiv preprint arXiv:1111.6554},
  year={2011}
}

@article{den2012probability,
  title={Probability theory: The coupling method},
  author={den Hollander, Frank},
  journal={Leiden University, Lectures Notes-Mathematical Institute},
  pages={31},
  year={2012}
}