of Markovian stochastic processes in probability theory, the Chapman–Kolmogorov equation (CKE) is an identity relating the joint probability distributions...

1931, Andrei Kolmogorov started from the theory of discrete time Markov processes, which are described by the Chapman–Kolmogorov equation, and sought to...

in the field that have been given the name of the Chapman–Kolmogorov equations. Later, Kolmogorov focused his research on turbulence, beginning his publications...

equations Boltzmann equation Chapman–Kolmogorov equation Convection–diffusion equation Klein–Kramers equation Kolmogorov backward equation Kolmogorov...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

telephone operator. There, he wrote down his latest work on the Chapman–Kolmogorov equation, and sent this as a "pli cacheté" (sealed envelope) to the French...

Hahn–Kolmogorov theorem Kolmogorov extension theorem Kolmogorov continuity theorem Kolmogorov's three-series theorem Kolmogorov's zero–one law Chapman–Kolmogorov...

generalizations, Chapman and the Russian Andrey Kolmogorov independently developed the pivotal set of equations in the field, the Chapman–Kolmogorov equations. Chapman...

Lotka–Volterra system of equations is an example of a Kolmogorov population model (not to be confused with the better known Kolmogorov equations), which is a more...

Markov process, with the integrated master equation obeying a Chapman–Kolmogorov equation. The master equation can be simplified so that the terms with...

the context of Bayesian statistics. Causal Markov condition Chapman–Kolmogorov equation Hysteresis Markov blanket Markov chain Markov decision process...

The differential equations are now called the Kolmogorov equations or the Kolmogorov–Chapman equations. Other mathematicians who contributed significantly...

The differential equations are now called the Kolmogorov equations or the Kolmogorov–Chapman equations. Other mathematicians who contributed significantly...

2003.10.001. "Euler-Darboux Equation". MathWorld. Retrieved 2009-11-14. Maslov, V. P. (1983). "The Kolmogorov-Feller equation and the probabilistic model...

Bernoulli process Bernoulli scheme Branching process Point process Chapman–Kolmogorov equation Chinese restaurant process Coupling (probability) Ergodic theory...

Fixing a small τ > 0 {\displaystyle \tau >0} , we have by the Chapman-Kolmogorov equation, p ( x , t ) = ∫ p ( x , t | x ′ , t − τ ) p ( x ′ , t − τ )...

In functional analysis, the Fréchet–Kolmogorov theorem (the names of Riesz or Weil are sometimes added as well) gives a necessary and sufficient condition...

Kolmogorov complexity Challenge–dechallenge–rechallenge Champernowne distribution Change detection Change detection (GIS) Chapman–Kolmogorov equation...

American fast food corporation Lampson Field, the IATA code CKE Chapman–Kolmogorov equation, used in Variational Bayesian methods Kaqchikel language, the...

include: probability axioms, Chapman–Kolmogorov equation and Kolmogorov extension theorem in probability; Kolmogorov complexity etc. Maxim Kontsevich, author...

: X → Z {\displaystyle \lambda \circ \kappa :X\to Z} by the Chapman-Kolmogorov equation ( λ ∘ κ ) ( d z | x ) = ∫ Y λ ( d z | y ) κ ( d y | x ) {\displaystyle...

include: probability axioms, Chapman–Kolmogorov equation and Kolmogorov extension theorem in probability; Kolmogorov complexity Maxim Kontsevich, author...

is no longer of any interest: one such usage arises for the Chapman–Kolmogorov equation. For example, a model for a stochastic process may be defined...

X_{k}=i).} The n-step transition probabilities satisfy the Chapman–Kolmogorov equation, that for any k such that 0 < k < n, p i j ( n ) = ∑ r ∈ S p...

Structural equation modeling (SEM) is a diverse set of methods used by scientists for both observational and experimental research. SEM is used mostly...

{\mathcal {H}}} . This composition formula is sometimes called the Chapman-Kolmogorov equation. This composition is unital, and associative by the monotone...

{\displaystyle x_{t}} is defined by the following stochastic differential equation: d x t = − θ x t d t + σ d W t {\displaystyle dx_{t}=-\theta \,x_{t}\,dt+\sigma...

include Christina Cox and Jennifer Westfeldt. Mathematics used: Bayesian inference, Markov chain, Chapman–Kolmogorov equation and Monty Hall problem...

Andrey Kolmogorov, preeminent 20th-century mathematician, Wolf Prize winner; developed probability axioms, Chapman–Kolmogorov equation and Kolmogorov extension...

updating-prediction evolution equation. The updating step is given by Bayes' rule, and the prediction step is a Chapman-Kolmogorov transport equation. The mean field...