Mathematical Object

Chapman-Kolmogorov equation

Probability and Statistics

In the theory of Markovian stochastic processes within probability theory, the Chapman-Kolmogorov equation is an identity relating the joint probability distributions of different sets of coordinates on a stochastic process. It was derived independently by the British mathematician Sydney Chapman and the Russian mathematician Andrey Kolmogorov, and it is used prominently in modern variational Bayesian methods.

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Chapman-Kolmogorov equation
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1. Chapman-Kolmogorov Equation (Wikipedia)
  • Lead section
    In mathematics, specifically in the theory of Markovian stochastic processes in probability theory, the Chapman-Kolmogorov equation (CKE) is an identity relating the joint probability distributions of different sets of coordinates on a stochastic process.
  • Attributed To: Andrey Kolmogorov, Lead sentence
    The equation was derived independently by both the British mathematician Sydney Chapman and the Russian mathematician Andrey Kolmogorov.
  • Principal Result Of: Andrey Kolmogorov, Lead sentence of the article on the result
    The equation was derived independently by both the British mathematician Sydney Chapman and the Russian mathematician Andrey Kolmogorov.
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Chapman-Kolmogorov equation (Wikipedia)
In Branch: Probability and Statistics, Lead sentenceView the Source
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