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Cross Variation of Ito Integral with $L^2$ bounded continuous martingale

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#stochastic-processes #stochastic-calculus #martingales #stochastic-integrals #quadratic-variation
148
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quadratic variation and local martingale

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#stochastic-processes #martingales #stochastic-integrals #isometry
37
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Writing down the proof of Proposition 1.1(ii)(1.12) in Ikeda and Watanabe

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#convergence-divergence #stochastic-calculus #conditional-expectation #stochastic-integrals #stochastic-analysis
75
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Integrating wrt a stochastic process

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#probability-theory #stochastic-processes #stochastic-calculus #stochastic-integrals
223
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Why this stochastic integral is not necessarily a martingale

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#probability #probability-theory #stochastic-processes #martingales #stochastic-integrals
164
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martingale representation of two independent Brownian motion

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#stochastic-processes #brownian-motion #stochastic-integrals #filtrations
184
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Product of two stochastic integrals is a martingale?

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#probability-theory #stochastic-processes #stochastic-calculus #martingales #stochastic-integrals
40
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$\mathbb{E}[\int_0^TW^2_sdW_s | W_T=c]$

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#stochastic-calculus #conditional-probability #conditional-expectation #stochastic-integrals #stochastic-analysis
82
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About Ito's rule

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#stochastic-calculus #stochastic-integrals
39
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How can I interpret infinitesimal/differential notation in involved integrals? E.g. in the Chapman-Kolmogorov condition

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#real-analysis #stochastic-processes #stochastic-integrals
172
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Expectation of $1/V(t)$ finite, $V(t)$ strictly positive stochastic process

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#stochastic-processes #expected-value #stochastic-calculus #stochastic-integrals #stochastic-analysis
193
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Finding expectation and variance of stochastic integral from given SDE

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#brownian-motion #stochastic-integrals
54
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How to show the sum of the squares process is deterministic

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis #stochastic-differential-equations
75
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Stochastic Product Rule Example

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#calculus #stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-differential-equations
121
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Martingale & Ito Integral Help

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#probability-theory #stochastic-processes #stochastic-calculus #martingales #stochastic-integrals

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