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Dominated Convergence Theorem in Stochastic Calculus (Infinite Dimensional Spaces)

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#reference-request #stochastic-processes #stochastic-calculus #stochastic-integrals
268
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Why the stochastic integral is a $L^2$ convergence ? Pointwise convergence doesn't work?

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#probability #stochastic-processes #stochastic-integrals
48
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Two Definitions for $E(X)$

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#stochastic-processes #stochastic-calculus #stochastic-integrals
155
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Stochastic integrals and stopping times

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#probability-theory #stochastic-processes #stochastic-integrals
109
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Itô integral and stock prices in discrete time.

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#probability #probability-theory #stochastic-processes #stochastic-integrals
442
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Second order derivatives in Ito formula for Brownian motion and local martingale

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#stochastic-processes #stochastic-calculus #brownian-motion #stochastic-integrals #local-martingales
445
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$B_t^3 - 3t B_t$ is a $L^2$ martingale ($B_t$ being a standard Brownian motion)

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#probability-theory #stochastic-calculus #brownian-motion #martingales #stochastic-integrals
218
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A Version of Fubini-Tonelli Theorem for Hilbert Space Valued Functions

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#functional-analysis #stochastic-processes #stochastic-calculus #stochastic-integrals
65
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How to compute ito's calculus without knowing its solution already?

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#stochastic-integrals
949
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Solution of a second order Stochastic Differential Equation

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis
2.1k
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Black-Scholes model with time-dependent volatility

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#partial-differential-equations #brownian-motion #finance #stochastic-integrals
1.1k
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Expectation of solution to SDE $dX_t=-\tanh(X_t) dt + dW_t$

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-differential-equations
201
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SDE Integration

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#stochastic-calculus #stochastic-integrals #stochastic-analysis #stochastic-differential-equations
165
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How to calculate expected value of integral?

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#probability #stochastic-processes #stochastic-calculus #stochastic-integrals #levy-processes
77
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A question about measurability on the Taylor expansion of Ito's formula.

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

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