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Covariance of two Ito / Diffusion processes

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#ordinary-differential-equations #stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis
214
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Girsanov's theorem and likelihood for random initial conditions

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#probability #stochastic-processes #stochastic-calculus
40
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Interpolation of martingale

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis
66
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A construction of a Stratonovich type integral for fractional Brownian motion

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#probability-theory #measure-theory #stochastic-calculus #stochastic-analysis #malliavin-calculus
85
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Showing this is a martingale

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#probability #stochastic-calculus
984
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Solve the SDE $dX_t=\sqrt t(X_t+\sin t)dW_t$

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#probability-theory #stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-differential-equations
202
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filtration of a stochastic integral

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#probability #probability-theory #stochastic-processes #stochastic-calculus #stochastic-integrals
345
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Why is an elementary Ito integral necessarily continuous?

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#probability #continuity #stochastic-calculus #stochastic-integrals
3.2k
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Why is $dW^2=dt$ in stochastic calculus?(do not use Ito’ Lemma),

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#stochastic-processes #stochastic-calculus #stochastic-integrals
340
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Finiteness of exponential moments of a stochastic integral implies finite moments

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#probability-theory #stochastic-processes #stochastic-calculus #stochastic-integrals
194
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On the derivation of Black–Scholes

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#stochastic-calculus #finance
75
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Variance of the stochastic process

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#stochastic-processes #stochastic-calculus #variance
136
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Calculating Variance of the stochastic process

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#stochastic-calculus
69
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Differential of Stochastic process

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#calculus #stochastic-processes #stochastic-calculus #brownian-motion #stochastic-integrals
1.1k
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What's the distribution of $\int tW(t)dt$ for Brownian motion $W(t)$

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#probability #stochastic-calculus #brownian-motion

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