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Processes adapted to time changes

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#probability-theory #stochastic-processes #stochastic-calculus #stochastic-analysis #stopping-times
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Ito's Lemma for negative exponential

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#stochastic-processes #stochastic-calculus #stochastic-analysis
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The ito integral is gaussian

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#probability-theory #stochastic-processes #stochastic-integrals #stochastic-analysis
451
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Ito Integral representation for bounded claims

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#probability-theory #reference-request #stochastic-calculus #martingales #stochastic-analysis
88
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For a real-valued random variable it holds: $ E(|X|)<\infty\Leftrightarrow \sum_{n\in\mathbb{N}}P(|X|>n)<\infty$

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#measure-theory #random-variables #expectation #stochastic-analysis
424
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First-order stochastic dominance and truncation

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#probability #statistics #probability-distributions #stochastic-analysis
173
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Stochastic integral density of simple functions no1

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#measure-theory #stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis
198
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A Liar's Paradox Mathematically

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#expectation #stochastic-analysis
84
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How to calculate probability of an event in a stochastic setting?

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#stochastic-processes #brownian-motion #stochastic-analysis
99
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A question on the extension of of integrants from simple processes t0 $L^2$?

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#stochastic-integrals #stochastic-analysis
349
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Donsker's Theorem for triangular arrays

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#functional-analysis #statistics #probability-theory #stochastic-processes #stochastic-analysis
142
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Why do two points never 'arrive at once' in a Poisson point process

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#probability-theory #stochastic-processes #stochastic-analysis #levy-processes #poisson-distribution
56
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Is stochastic modelling a subset of Frequentist and Bayesian points of view?

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#stochastic-processes #stochastic-analysis
2.1k
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Approximation of stochastic integrals by Riemann sums

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#stochastic-calculus #stochastic-analysis
142
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Uniform integrable proof

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#probability #stochastic-processes #stochastic-calculus #stochastic-analysis

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