All probability and statistics courses are in the math department, or done within the various scientific or engineering departments.) Theoretical statistics (also called mathematical statistics) -- e.g. what can …

For questions solely about the modern theoretical footing for probability, for example, probability spaces, random variables, law of large numbers, and central limit theorems. Use [tag:probability] instead for …

what are some good books on probabilities and measure theory? I already know basic probabalities, but I'm interested in sigma-algrebas, filtrations, stopping times etc, with possibly examples of "...

Probability theory supplements that with the multiplication rule which describes independence; and things are already looking up. But what really enriches and enlivens things is that we deal with lots of …

Oct 8, 2015 · A stochastic process is a colection of random variables defined on the same probability space. Please explain further what parts of this definition are escaping you.

May 1, 2011 · 6 Noel Vaillant's online Probability Tutorials are an excellent introduction to the real analysis, general topology and measure theory foundations of probability theory.

Aug 6, 2023 · How exactly did the relationship between Measure Theory and Probability Theory revolutionize Probability Theory? If I understand things correctly, it seems like the field of Probability …

Dec 20, 2020 · It's probably worth your looking at Billingsley's Probability and Measure, the third edition of which is widely regarded as a classic in the field. I haven't looked at it myself, but two other books …

Apr 9, 2011 · 65 For probability theory as probability theory (rather than normed measure theory ala Kolmogorov) I'm quite partial to Jaynes's Probability Theory: The Logic of Science. It's fantastic at …

5 days ago · For questions about probability. independence, total probability and conditional probability. For questions about the theoretical footing of probability use [tag:probability-theory].