# Probability Library

- Page: https://shared.btbytes.com/p/probability-library
- Date: 2020-01-10

[Dr Harry Crane](https://x.com/HarryDCrane/status/1215680156913762304) asked for recommendations for a "Probability Library".

These are some of the recommendations:

Harry Crane:

1. Technical: [An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition](https://amzn.to/2QITBed)
2. Classic: [Foundations of the Theory of Probability: Second English Edition (Dover Books on Mathematics) by Kolmogorov](https://amzn.to/2R4FLSn)
3. Real World: [Antifragile](https://amzn.to/2TbnxkN). NNTaleb recommended [Statistical Consequences of Fat Tails](https://www.fooledbyrandomness.com/FatTails.html) (book in the works) instead over Antifragile.
4. Application: [Beyond Counting : Exploiting Casino Games from Blackjack to Video Poker](https://amzn.to/30aLQRa) by James Grosjean.
5. Biography: [A man for all ages](https://amzn.to/2sgQqRE) by Ed Thorpe.

Nassim Taleb:

1. [Probability Theory I, 4th Edition](https://amzn.to/2QIURxX) and [Vol 2](https://amzn.to/39WWj7x) by Loeve
2. [Methods of Mathematical Finance ](https://amzn.to/2TcniGk) by Karatzas and Shreve
3. [Elements of Information Theory 2nd Edition](https://amzn.to/2tQGIFK) by Cover and Thomas
4. [Probability and measure, 3rd edition](https://amzn.to/2Td8uXG) by Patrick Billingsley
5. [Chance and Stability, Stable Distributions and Their Applications](https://amzn.to/2NeEaZ7) by Uchaikin, Vladimir V. / Zolotarev, Vladimir M.  [PDF](http://web.archive.org/web/20220617174316/http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.117.6505&rep=rep1&type=pdf)
6. [Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance](https://books.google.com/books/about/Stable_Non_Gaussian_Random_Processes.html?id=wTTUfYwjksAC) by Gennady Samorodnitsky, M.S. Taqqu
7. [Stochastic Processes](https://amzn.to/2FPVf7L) by J. L. Doob
8. Limit distributions for sums of independent   random  variables by  B.V.Gnedenko and A.N.Kolmogorov.
9. [Extreme Value Theory](https://link.springer.com/book/10.1007/0-387-34471-3) by Laurens de Haan and Ana Ferreira
10. [Extreme Value Theory](https://www.casact.org/library/studynotes/Embrechts_ExtremeValue.pdf) (PDF) by Embrechts et. al.

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Misc:

via <https://x.com/BristOliver)

* Feller vol 1
* Kolmogorov/Gnedenko
* Petrov Sums of Independent RVs
* Grimmett Percolation
* David Williams Martingales

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* [Lev Tarasov – The World is Built on Probability](https://mirtitles.org/2023/05/13/lev-tarasov-the-world-is-built-on-probability-latex-version/) Mir Books.
* Kallenberg's Foundations of Modern Probability
* [Ten Great Ideas about Chance](https://press.princeton.edu/books/hardcover/9780691174167/ten-great-ideas-about-chance) by Persi Diaconis and Brian Skyrms
- [Linear Algebra with Probability](https://people.math.harvard.edu/~knill/teaching/math19/math19b_2011.pdf) Oliver Knill
for Harvard College Course Math 19b
