measure theory

probability theory

(quantum probability)

measurable space, measurable locale

measure, measure space

von Neumann algebra

geometric measure theory

probability space

probability distribution

state

in AQFT and operator algebra

GNS construction

Fell's theorem

entropy, relative entropy

information geometry

information metric

Wasserstein metric

thermodynamics

second law of thermodynamics, generalized second law

ergodic theory

By statistical inference broadly one refers to deducing from partial data analysis information of statistical nature, such as about the probability distributions that may give rise to the observed data.

Textbook accounts:

See also:

Created on January 13, 2023 at 09:58:49. See the history of this page for a list of all contributions to it.