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What are the meanings of $\langle\cdot,\cdot\rangle$ operator

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#stochastic-processes #markov-process #poisson-process
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Question about Markov Process

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#linear-algebra #probability #stochastic-processes #markov-chains #markov-process
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Independent Increments have the Markov Property Proof

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#probability-theory #stochastic-processes #markov-chains #markov-process #independence
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Expected number of rolls needed to get two consecutive sixes under the condition that all rolls are even

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#probability-theory #markov-chains #markov-process
122
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M/M/1 system: interrelation between distributions

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#markov-process #poisson-distribution #exponential-distribution #queueing-theory
252
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Definition of Stationary Increments

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#stochastic-processes #markov-chains #markov-process #poisson-process
66
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Period of a state and the number of sets

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#stochastic-processes #markov-chains #markov-process
230
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The number of visits made by a Markov chain

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#stochastic-processes #markov-chains #markov-process
201
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Functional CLT proof Theorem 7.4.1 on page 354-355 of Ethier and Kurtz 1986

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#stochastic-processes #stochastic-calculus #martingales #markov-process #stochastic-integrals
92
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Kolmogorovs Extension Theorem

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#probability #measure-theory #stochastic-processes #markov-process #stochastic-integrals
31
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Communication between states i and j implies equality of periodicity of i and j

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#number-theory #markov-chains #markov-process
959
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Transition probability and probability for first visit

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#probability #stochastic-processes #markov-chains #markov-process #transition-matrix
80
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j is null-recurrent IFF$\sum_{n=1}^{\infty}p_{jj}^{n}=\infty$ and $p_{jj}^{n}\rightarrow 0$ as $n\rightarrow \infty$

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#real-analysis #convergence-divergence #markov-chains #markov-process
131
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How to obtain the stationary distribution of a Markovian Jump Process from its diffusion approximation

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#probability #probability-theory #stochastic-processes #markov-process #stochastic-approximation
92
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Birth/Death chain

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#markov-chains #markov-process #birth-death-process

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