Can you suggest a probability and statistics manual?

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SUMMARY

The discussion centers on recommendations for advanced study materials in probability and statistics, specifically for an actuarial student who has completed the "Introduction to Probability" by Ross. The user, David, suggests the website http://www.math.uah.edu/stat/ as an excellent resource, highlighting its rigorous proofs and extensive simulations. Additionally, a comprehensive 3000-page PDF document compiling the site's content is available for those interested in printed materials.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with calculus
  • Knowledge of combinatorics
  • Basic grasp of probability distributions (uni and multivariate)
NEXT STEPS
  • Explore advanced topics in probability theory
  • Study the Central Limit Theorem in depth
  • Investigate statistical simulations and their applications
  • Review Tchebysheff's theorem and its implications in statistics
USEFUL FOR

This discussion is beneficial for actuarial students, statistics enthusiasts, and anyone seeking to deepen their understanding of probability and statistics through rigorous study materials.

lesdavies123
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Hello,

I am a student in the Actuarial bachelor's degree. I've just finished my Stats and Probabilities class in which we completed the Introduction to Probability book by Ross. I really enjoyed this class and would like to continue studying this branch can you suggest a book that continues along this. I am pretty good in calculus etc as I am an actuarial student but I will admit that I don't have a theoretical math background (but would enjoy it) so if you could suggest a follow up book for me (or even subjects) I would greatly appreciate it. Basically, I've seen combinatorics, probability distributions (uni and multivariate), transformations, Tchebysheff and the Central Limit Theorem. Thank you in advance!

David
 
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The best resource you can get is this site: http://www.math.uah.edu/stat/ It has nice and rigorous proofs. And it has nice simulations. It contains a LOT of material.

I have compiled a pdf document with everything on the site for if you want to print it (but it's 3000 pages).
 
Alright I will look into it! Thank you!
 

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