The Net Advance of Physics:
PROBABILITY

PROBABILITY:

• General: Introductory:
  • A Course on Elementary Probability Theory by Gane Samb Lo [2017/03] 209 pp.

• General:
  • Probability and Statistical Inference by Harrison B. Prosper [2005/03]
  • The Modelling of Random Phenomena by Aureli Alabert [2008/07]
  • Data analysis recipes: Probability calculus for inference by David W. Hogg [2012/05]
  • Notes on Probability Theory by Rupam Haloi and Manjil P. Saikia [2014/05]
  • Probability and Statistics for Particle Physicists by José Ocariz [2014/05]
  • Introduction to foundations of probability and randomness (for students in physics), Lecture-1: Kolmogorov and von Mises by Andrei Khrennikov [2014/10]
  • Frequentism and Bayesianism: A Python-driven Primer by Jake VanderPlas [2014/11]
  • Learning about probabilistic inference and forecasting by playing with multivariate normal distributions by Giulio D'Agostini [2015/04]
  • Lectures on Probability Theory by N. Moshayedi [2015]
  • Three Lectures on Probability and Statistics by Carlos Mana [2016/10]
  • Four Lectures on Probabilistic Methods for Data Science by Roman Vershynin [2016/12]
  • Theory of Probability: An Elementary Treatise against a Historical Background by Oscar Sheynin [2018/02]
  • Mathematical Foundations of Probability Theory by Gane Samb Lo [2018/08] 378 pp.

• Types: BAYESIAN;

• Type: FREE:
  • Lecture Notes on Free Probability by Vladislav Kargin [2013/05] 100 pp.
  • A Simple Introduction to Free Probability Theory and its Application to Random Matrices by Xiang-Gen Xia [2019/02]

• Type: NEGATIVE:
  • Negative probability by Andreas Blass and Yuri Gurevich [2015/02]

• Type: STOCHASTIC CALCULUS:
  • Martingales et calcul stochastique by Nils Berglund [2013/12] 125 pp., in French.

• Aspects: GIBBS POINT PROCESSES:
  • Introduction to the theory of Gibbs point processes by David Dereudre [2016/04]

• Aspects: MALLIAVIN-STEIN METHODS:
  • Malliavin-Stein Method: A Survey of Recent Developments by Ehsan Azmoodeh and Giovanni Peccati [2018/09]

• Aspects: MIXTURES:
  • Introduction to Finite Mixtures by Peter J. Green [2017/05]

• Aspects: PROBABILITY DISTRIBUTIONS: POISSON:
  • The Poisson Binomial Distribution: Old and New by Wenpin Tang and Fengmin Tang [2019/08]

• Re: TROPICAL MATHEMATICS:
  • Tropical Gaussians: A Brief Survey by Ngoc Mai Tran [2018/08]

ArXiv to

THE NET ADVANCE OF PHYSICS