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 "...

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.

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 …

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 …

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