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Deriving stochastic integral $ X+\frac{1}{2}\int_t^T Z_s^2 ds - \int_t^TZ_s dB_s$

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#stochastic-processes #stochastic-calculus #brownian-motion #stochastic-integrals
1k
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Mean and Variance of Geometric Mean Reverting Process

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#stochastic-processes #stochastic-calculus #finance #stochastic-differential-equations
62
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Derivation of an infinite sum?

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#analysis #probability-theory #stochastic-calculus #infinitesimals
76
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Is the space of simple predictable processes topologized by uniform convergence metrizable?

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#general-topology #stochastic-processes #stochastic-calculus #topological-vector-spaces
53
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Stochastic process, why this is that?

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#ordinary-differential-equations #stochastic-processes #differential-topology #stochastic-calculus #brownian-motion
318
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Geometric Brownian Motion and Stochastic Calculus

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#calculus #stochastic-calculus #brownian-motion
84
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Stochastic Integrals: Approximating $f(t,\omega)$ by $ke^{-kt} \int_0^t e^{ks} f(s,\omega)ds$

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#real-analysis #analysis #stochastic-processes #stochastic-calculus #stochastic-differential-equations
25
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shift a lognormal process lower by keeping the same variance

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#probability #stochastic-processes #stochastic-calculus
93
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Closed form solution for stochastic partial differential equations

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#partial-differential-equations #stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis
1.4k
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Using Itos Lemma To Derive an Ito Stochastic Differential Equation

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis #stochastic-differential-equations
144
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Bounded Variation Process

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#stochastic-calculus #stochastic-integrals
137
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Limiting distribution of a first passage time.

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#analysis #probability-theory #stochastic-processes #stochastic-calculus #stochastic-analysis
652
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Itô's formula and Integration by parts

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#stochastic-processes #stochastic-calculus #brownian-motion #finance
113
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Properties of Brownian Motion (Expected value)

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#probability-theory #stochastic-processes #stochastic-calculus #brownian-motion #finance
313
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Moments of solution of simple SDE

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#probability #probability-theory #stochastic-calculus #stochastic-differential-equations

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