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Probability theorems

Table of contents

Theorems regarding stochastic processes

Bruss–Duerinckx theorem

Bussgang theorem

Clark–Ocone theorem

Foster's theorem

Ignatov's theorem

Kolmogorov continuity theorem

Kolmogorov extension theorem

Characterization of probability distributions

Cochran's theorem

Memorylessness

Arrival theorem

Bapat–Beg theorem

Bartlett's theorem

Burke's theorem

Cameron–Martin theorem

Campbell's theorem (probability)

Cox's theorem

Cramér's decomposition theorem

Craps principle

Dimension doubling theorem

Disintegration theorem

Donsker's theorem

Doob's martingale convergence theorems

Doob–Dynkin lemma

Doob–Meyer decomposition theorem

Dubins–Schwarz theorem

Dynkin's formula

Engelbert–Schmidt zero–one law

Feldman–Hájek theorem

Gleason's theorem

Glivenko's theorem (probability theory)

Gordon–Newell theorem

Hammersley–Clifford theorem

Helly–Bray theorem

Heyde theorem

Itô–Nisio theorem

Jessen–Wintner theorem

Kakutani's theorem (measure theory)

Kolmogorov's three-series theorem

Kolmogorov's two-series theorem

Kosambi–Karhunen–Loève theorem

Kramkov's optional decomposition theorem

Law of total probability

Lukacs's proportion-sum independence theorem

Lévy's continuity theorem

Lévy's modulus of continuity theorem

Markov–Krein theorem

Martingale representation theorem

Maxwell's theorem

Pickands–Balkema–De Haan theorem

Poisson scatter theorem

Raikov's theorem

Reversed compound agent theorem

Reversible diffusion

Skorokhod's embedding theorem

Skorokhod's representation theorem

Spitzer's formula

Stein's lemma

Structure theorem for Gaussian measures

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