nLab Category — probability

Overview

The nLab has 62 pages in this category.

Pages

• Bayesian inversion
• category of couplings
• category-theoretic approaches to probability theory
• conditional expectation
• convex mixture
• convex powerset of distributions monad
• de Finetti's theorem
• detailed balance
• determinantal point process
• empirical distribution
• empirical mean
• ergodic decomposition theorem
• ergodicity
• exchangeability
• filtered probability space
• FinStoch
• Fisher metric
• free probability
• Giry monad
• iid random variables
• invariant measure
• invariant set
• joint and marginal probability
• Kolmogorov extension theorem
• law of a random variable
• law of large numbers
• Loomis-Sikorski duality
• Markov category
• Markov chain
• Markov kernel
• martingale
• measurable Gelfand duality
• measurable space
• monads of probability, measures, and valuations
• nonlinear probability theory
• observational monad
• probability density
• probability distribution
• probability space
• probability theory
• random variable
• sampling map
• sampling theory
• shift
• sigma-algebra
• signal processing
• sober measurable space
• standard Borel space
• stationary stochastic process
• statistics
• Stoch
• stochastic dependence and independence
• stochastic Loewner equation
• stochastic map
• tail event
• time series
• time-reversible stochastic process
• transport plan
• white noise
• zero-one kernel
• zero-one law
• zero-one measure