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Distribution of random variable given by SDE at some point in time

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#probability-theory #stochastic-processes #soft-question #stochastic-calculus #stochastic-analysis
171
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Malliavin derivative of a gaussian

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#probability-theory #stochastic-calculus #calculus-of-variations #stochastic-analysis #malliavin-calculus
122
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Expectation of stochastically bounded expression.

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#probability-theory #asymptotics #stochastic-analysis #stochastic-approximation #expected-value
504
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Why is the set of continous paths of a browian motion not measurable?

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#measure-theory #stochastic-calculus #brownian-motion #stochastic-analysis #borel-sets
120
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Multi-Dimensonal Burkholder Davis Gundy ineuqality

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#inequality #stochastic-calculus #martingales #stochastic-integrals #stochastic-analysis
230
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Are Ito Integrals adapted to the Brownian Motion Filtration 2

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#probability-theory #stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis
27
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Does $X\sim B(Y1,\delta)$ first-order stochastically dominate(FSD) $W\sim B(Y0,\delta)$ when $Y1$ FSD $Y0$

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#stochastic-analysis
107
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Reverse-Girsanov

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#probability-theory #stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis
294
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Characterization of stationary distribution of diffusion process

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis #stationary-processes
530
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When are simple predictable processes adapted?

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#probability-theory #measure-theory #stochastic-processes #stochastic-analysis #stopping-times
491
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Why are stochastic integrals adapted?

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#probability-theory #measure-theory #stochastic-processes #stochastic-analysis #stopping-times
140
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Product of orthogonal martingales

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#stochastic-analysis
114
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Right continuous Stochastic process $A$ increasing on countable dense subset of $[0,1]$ has increasing trajectories on $[0,1]$

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#probability #probability-theory #stochastic-processes #stochastic-calculus #stochastic-analysis
154
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Proving adaptedness of $ (\sum_{0 < s \leq t} \Delta X_s 1_{|\Delta X_s| > 1})_{0 \leq t \leq T}$ for RCLL adapted process $(X_t)_{0 \leq t\leq T}$.

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#probability-theory #measure-theory #stochastic-processes #stochastic-analysis
141
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Itō diffusion as a solution to a martingale problem

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#probability-theory #stochastic-processes #martingales #stochastic-analysis #stochastic-differential-equations

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