probability theory in nLab

the basic entries on measure space, probability space, conditional probability. The modern point of view emphasises that many facts about random ...

nLab category-theoretic approaches to probability theory

There are a number of approaches to apply category theory to probability and related fields, such as statistics, information theory and dynamical systems.

Is probability theory a branch of mathematics? in nLab

nLab Is probability theory a branch of mathematics? · The probability of a “1” on the first toss is 1/6; and · The probability that a “1” ...

quantum probability theory in nLab

The idea that quantum probability is “just as” classical probability theory but generalized to non-commutative probability spaces.

monads of probability, measures, and valuations in nLab

The functor: random outcomes · The distribution monad assigns to each set the space of finite distributions on it. · The Giry monad assigns to ...

synthetic probability theory in nLab

The application of synthetic mathematics to probability theory, related to measurable locales. 2. Related entries. category-theoretic approaches ...

nLab - Wikipedia

The nLab is a wiki for research-level notes, expositions and collaborative work, including original research, in mathematics, physics, and philosophy, ...

free probability in nLab

Free probability is a noncommutative analogue of the probability theory introduced by Dan-Virgil Voiculescu around 1990.

Category theory with examples in probability theory - NASA/ADS

... probabilistic context. The most prominent examples of the application of Category Theory to Probability Theory are the Lawvere (available at ncatlab.org/nlab ...

Categorical probability theory - Wiki - Evan Patterson

The concrete category CAP is isomorphic to the category of Markov kernels, which Cencov calls the “category of statistical decisions” (Cencov, 1982, Theorem 5.2) ...

probability space in nLab

In probability theory, a probability space is a measure space ( X , μ ) (X,\mu) whose measure μ \mu is a probability distribution.

Bell's Theorem Explained in nLab: Probability Density

The distribution itself looks at the probability structure that the value itself will take a specific value or interval of values depending on ...

nonlinear probability theory in nLab

1. Idea. In traditional probability theory, one defines probability as a quantity which is. known (that is, we may have random variables with ...

nLab - More General Discussion | The n-Category Café

... probability distribution” where “events” are literally ... theory proper for example) many nlab entries are now already better.

What does a proof in an internal logic actually look like?

The nLab has a lot of nice things to say about how you can use the ... develops (essentially) topos theory and its internal logic from scratch and ...

What non-categorical applications are there of homotopical algebra?

... nLab.) More and more lately I have been ... Is there an introduction to probability theory from a structuralist/categorical perspective?

Is nLab a good source? : r/math - Reddit

I am learning category theory from Tom Leinster's "Basic Category Theory" (Cambridge University Press, 2014) and have stumbled across nLab while supplementing ...

probability distribution in nLab

A probability distribution is a measure used in probability theory whose integral over some subspace of a measurable space is regarded as ...

Probability, valuations, hyperspace: Three monads on top and the ...

Close relatives of the distribution monad are used to treat probability measures in the sense of measure theory. ... Available at nlab.

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