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Two supermartingales and a stopping time

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Distribution of the first repeated value in an i.i.d. sequence

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#probability #combinatorics #recreational-mathematics #stopping-times
783
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Cadlag and adapted imply progressively measurable (related to Protter theorem 6)

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#real-analysis #measure-theory #stochastic-processes #stochastic-analysis #stopping-times
427
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How can we show that this is a stopping time?

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#stochastic-processes #stochastic-analysis #stopping-times #quadratic-variation #local-martingales
74
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Determine whether a random variable is a stopping time

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#brownian-motion #stochastic-analysis #stopping-times
315
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Stopped continuous local martingales

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151
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Strong markov property of Markov chain

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435
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A stopped canonical Markov process is a Markov process

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1.9k
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Proving Wald's identity for Brownian motion

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#probability-theory #stochastic-processes #brownian-motion #martingales #stopping-times
178
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The distribution of hitting time of a random walk

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#probability-theory #random-walk #stopping-times
274
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Stopping time clarification

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#measure-theory #stochastic-calculus #stopping-times #filtrations
909
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General random walk expected first exit time via martingale

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#markov-chains #martingales #random-walk #stopping-times
1.1k
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Expectation of HTH (fair coin tosses)

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#probability #probability-theory #expectation #stopping-times
82
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Convergence of discrete function satisfying $|f_{k+1}(X_k)|\leq \delta\Vert f\Vert_\infty$ for $X_k$ Markov chain

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#convergence-divergence #stochastic-processes #stopping-times
458
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Expected time until random walk with positive drift crosses a positive boundary

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