Probability theorems

Kolmogorov's three-series theorem In probability theory, Kolmogorov's Three-Series Theorem, named after Andrey…

Optional stopping theorem Not to be confused with Optimal stopping. In probability…

Bayes' theorem "Bayes rule" redirects here. For the concept in decision theory,…

Burke's theorem In queueing theory, a discipline within the mathematical theory of…

Maximal ergodic theorem The maximal ergodic theorem is a theorem in ergodic…

Cox's theorem Cox's theorem, named after the physicist Richard Threlkeld Cox, is…

In mathematics, Anderson's theorem is a result in real analysis and geometry which says that the integral of an integrable, symmetric, unimodal, non-negative function f over an n-dimensional convex body K does not decrease if K is translated inwards towards the origin. This is a natural statement, since the graph of f can be thought of as a hill with a single peak over the origin; however, for n ≥ 2, the proof is not entirely obvious, as there may be points x of the body K where the value f(x) is larger than at the corresponding translate of x.