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What distribution are we sampling at equilibrium in MCMC

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#statistics #probability-distributions #stochastic-processes #markov-chains
636
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One type of Optional Sampling Theorem

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#probability-theory #stochastic-processes #martingales
37
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Are stochastic processes equivalent if their finite distributions are identical?

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#probability #probability-theory #measure-theory #proof-verification #stochastic-processes
63
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Computing the covariance function

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#probability-theory #stochastic-processes #covariance #stationary-processes
57
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If $E(|X_t-Y_t|^2)=0$, then $P\{\omega:|X_t(\omega)-Y_t(\omega)|=0,\forall t\in [0,T]\}=1$?

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#probability #probability-theory #stochastic-processes #stochastic-calculus
22
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concept clarification

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#stochastic-processes #markov-chains
481
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Average queue length under FCFS and LCFS simultaneously

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#probability #probability-theory #stochastic-processes #poisson-process #queueing-theory
71
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Rate of mixing of two regions containing particles undergoing Brownian motion

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#ordinary-differential-equations #stochastic-processes
221
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The definition of $X_T$ for a martingale and stopping

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#probability #probability-theory #stochastic-processes #martingales
182
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Almost sure continuity about the integral of an adapted process

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#continuity #stochastic-processes #brownian-motion #stochastic-integrals #stopping-times
611
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General stochastic integration by parts.

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#probability #stochastic-processes #stochastic-calculus #brownian-motion #stochastic-integrals
131
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Proofs of one optional sampling theorem in Ethier & Kurtz 1986

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#probability-theory #stochastic-processes #stochastic-calculus #martingales
30
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Expected time to return

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#stochastic-processes #markov-chains
104
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Law of Logarithm Type Result for Standard Brownian Motion

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#probability-theory #stochastic-processes #brownian-motion
26
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In a primitive, stochastic matrix, the 2nd largest eigenvalue depends on which property of the elements of matrix?

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#matrices #stochastic-processes #eigenvalues-eigenvectors #linear-transformations #markov-chains

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