Prob/Stats Finding a Probability Book for Physics Students for a Complex Course

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The discussion centers on finding suitable resources for a Probability course that covers advanced topics such as large deviations, experimental data analysis, random walks, recurring events, chains, time-dependent processes (including Markov and Poisson processes), and entropy concepts. The professor's notes are the primary resource, but they are challenging to follow. The request emphasizes the need for materials that are not introductory and ideally tailored for physics students. Recommendations include specific books like "Introduction To Probability Theory" by Hoel, Port, and Stone, and "Introduction to Probability" by Grinstead and Snell, which is available for free online. Additional resources from Iowa State University are also suggested, highlighting the importance of finding comprehensive texts that align with the course's mathematical rigor.
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Hello, I'm taking a course in Probability for which our only resource is our professor's notes but I find them somewhat hard to follow. He told us he wrote these notes because he could not find a book which contained all the topics we'll be doing, but I still hope someone here can help me find something suitable.
Here's a short summary of the main topics I'll need to study:
Large deviations
Experimental data analysis(resampling methods, analysis of unknown distributions)
Random walks
Recurring events
Chains
Time-dependent processes(Markov, Poisson, Birth and Death)
Entropy(Shannon, Kolmogorov-Sinai)

Our teacher's approach is quite heavy on the math; basic probability, complex and functional analysis are taken for granted so I'm not looking for an introductory probability book. Even if you don't know a unique book containing these topics, any particular recommendation will be appreciated, especially if it is written specifically for physics students.
 
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1) - Introduction To Probability Theory by Hoel, Port and Stone.
2) - Grinstead and Snell's Introduction to Probability (freely available at http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/book.html).
 
Thank you, I'll be checking these out.
 
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