Book Review
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MathSciNet review:
4231141
Full text of review:
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Book Information:
Author:
Seth Sullivant
Title:
Algebraic statistics
Additional book information:
Graduate Studies in Mathematics, Vol. 194,
American Mathematical Society,
Providence, RI,
2018,
xiii+409 pp.,
ISBN 978-1-4704-3517-2
Satoshi Aoki, Hisayuki Hara, and Akimichi Takemura, Markov bases in algebraic statistics, Springer Series in Statistics, Springer, New York, 2012. MR 2961912, DOI 10.1007/978-1-4614-3719-2
Cristiano Bocci and Luca Chiantini, An introduction to algebraic statistics with tensors, Unitext, vol. 118, Springer, Cham, 2019. La Matematica per il 3+2. MR 3969980, DOI 10.1007/978-3-030-24624-2
Mathias Drton, Bernd Sturmfels, and Seth Sullivant, Lectures on algebraic statistics, Oberwolfach Seminars, vol. 39, Birkhäuser Verlag, Basel, 2009. MR 2723140, DOI 10.1007/978-3-7643-8905-5
Judea Pearl, Causality, 2nd ed., Cambridge University Press, Cambridge, 2009. Models, reasoning, and inference. MR 2548166, DOI 10.1017/CBO9780511803161
Jonas Peters, Dominik Janzing, and Bernhard Schölkopf, Elements of causal inference, Adaptive Computation and Machine Learning, MIT Press, Cambridge, MA, 2017. Foundations and learning algorithms. MR 3822088
Giovanni Pistone, Eva Riccomagno, and Henry P. Wynn, Algebraic statistics, Monographs on Statistics and Applied Probability, vol. 89, Chapman & Hall/CRC, Boca Raton, FL, 2001. Computational commutative algebra in statistics. MR 2332740
Milan Studený. Conditional independence relations have no finite complete characterization, in S. Kubik and J.A. Visek, editors, Information Theory, Statistical Decision Functions and Random Processes. Transactions of the 11th Prague Conference, volume B, pages 377–396. Kluwer, Dordrecht, 1992.
Sumio Watanabe, Algebraic geometry and statistical learning theory, Cambridge Monographs on Applied and Computational Mathematics, vol. 25, Cambridge University Press, Cambridge, 2009. MR 2554932, DOI 10.1017/CBO9780511800474
References
- Satoshi Aoki, Hisayuki Hara, and Akimichi Takemura, Markov bases in algebraic statistics, Springer Series in Statistics, vol. 199, Springer, New York, 2012. MR 2961912, DOI 10.1007/978-1-4614-3719-2
- Cristiano Bocci and Luca Chiantini, An introduction to algebraic statistics with tensors, Unitext, vol. 118, Springer, Cham, 2019. MR 3969980, DOI 10.1007/978-3-030-24624-2
- Mathias Drton, Bernd Sturmfels, and Seth Sullivant, Lectures on algebraic statistics, Oberwolfach Seminars, vol. 39, Birkhäuser Verlag, Basel, 2009. MR 2723140, DOI 10.1007/978-3-7643-8905-5
- Judea Pearl, Causality: Models, reasoning, and inference, 2nd ed., Cambridge University Press, Cambridge, 2009. MR 2548166, DOI 10.1017/CBO9780511803161
- Jonas Peters, Dominik Janzing, and Bernhard Schölkopf, Elements of causal inference: Foundations and learning algorithms, Adaptive Computation and Machine Learning, MIT Press, Cambridge, MA, 2017. MR 3822088
- Giovanni Pistone, Eva Riccomagno, and Henry P. Wynn, Algebraic statistics: Computational commutative algebra in statistics, Monographs on Statistics and Applied Probability, vol. 89, Chapman & Hall/CRC, Boca Raton, FL, 2001. MR 2332740
- Milan Studený. Conditional independence relations have no finite complete characterization, in S. Kubik and J.A. Visek, editors, Information Theory, Statistical Decision Functions and Random Processes. Transactions of the 11th Prague Conference, volume B, pages 377–396. Kluwer, Dordrecht, 1992.
- Sumio Watanabe, Algebraic geometry and statistical learning theory, Cambridge Monographs on Applied and Computational Mathematics, vol. 25, Cambridge University Press, Cambridge, 2009. MR 2554932, DOI 10.1017/CBO9780511800474
Review Information:
Reviewer:
Thomas Kahle
Affiliation:
Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany
Email:
thomas.kahle@ovgu.de
Journal:
Bull. Amer. Math. Soc.
58 (2021), 305-309
DOI:
https://doi.org/10.1090/bull/1727
Published electronically:
February 24, 2021
Review copyright:
© Copyright 2021
American Mathematical Society
