List questions from coupling

80

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Suppose $p>q$, $X\sim \text{Bernoulli}(p)$, $Y\sim \text{Bernoulli}(q)$. Couple $X$ and $Y$ to maximise $P(X=Y)$.

Published on 22 Mar 2017 - 16:01

49

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Convergence in Probability - Hitting the Limit

Published on 15 Feb 2023 - 6:38

35

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What are some good resources to study probabilistic coupling?

Published on 16 Mar 2023 - 17:01

302

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Decomposition of probability measures with a bounded total variation distance

Published on 19 May 2023 - 14:40

31

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Minorisation and Coupling in probability theory.

Published on 05 Jul 2023 - 13:25

23

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Does there exist $f$ such that $f(X) \overset{D}{=} Q$?

Published on 09 Aug 2023 - 17:24

28

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Total variation distance for dependent product measure using coupling

Published on 17 Sep 2023 - 8:56

52

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Coupled Resonators with sinusoidal coupling

Published on 29 Sep 2023 - 8:08

37

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Stochastic domination proof Ising model

Published on 23 Oct 2023 - 12:06

57

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When does the sum of dependent Bernoulli random variables stochastically dominate binomial distribution?

Published on 02 Nov 2023 - 10:35

148

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Proof birth and death process

Published on 03 Dec 2023 - 11:56

413

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Distances in the space of probability measures and couplings of random variables

Published on 31 Dec 2023 - 2:57

24

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Will taking one more step from a different starting point lead to the same end point?

Published on 12 Jan 2024 - 9:10

27

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Questions about the proof of existence for maximal coupling

Published on 14 Jan 2024 - 23:42

46

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Construction of a coupling of a sequence of Bernoulli random variables

Published on 08 Feb 2024 - 13:40

List Question

Suppose $p>q$, $X\sim \text{Bernoulli}(p)$, $Y\sim \text{Bernoulli}(q)$. Couple $X$ and $Y$ to maximise $P(X=Y)$.

Convergence in Probability - Hitting the Limit

What are some good resources to study probabilistic coupling?

Decomposition of probability measures with a bounded total variation distance

Minorisation and Coupling in probability theory.

Does there exist $f$ such that $f(X) \overset{D}{=} Q$?

Total variation distance for dependent product measure using coupling

Coupled Resonators with sinusoidal coupling

Stochastic domination proof Ising model

When does the sum of dependent Bernoulli random variables stochastically dominate binomial distribution?

Proof birth and death process

Distances in the space of probability measures and couplings of random variables

Will taking one more step from a different starting point lead to the same end point?

Questions about the proof of existence for maximal coupling

Construction of a coupling of a sequence of Bernoulli random variables

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