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gregorygundersen.com | ||
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cgad.ski
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| | | | | [AI summary] This article explores the asymptotic growth of the central binomial coefficient using Laplace's method to analyze random walks on integer lattices. | |
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extremal010101.wordpress.com
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| | | | | Suppose we want to understand under what conditions on $latex B$ we have $latex \begin{aligned} \mathbb{E} B(f(X), g(Y))\leq B(\mathbb{E}f(X), \mathbb{E} g(Y)) \end{aligned}$holds for all test functions, say real valued $latex f,g$, where $latex X, Y$ are some random variables (not necessarily all possible random variables!). If $latex X=Y$, i.e., $latex X$ and $latex Y$ are... | |
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almostsuremath.com
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| | | | | A stochastic process X is said to have independent increments if $latex {X_t-X_s}&fg=000000$ is independent of $latex {\{X_u\}_{u\le s}}&fg=000000$ for all $latex {s\le t}&fg=000000$. For example, standard Brownian motion is a continuous process with independent increments. Brownian motion also has stationary increments, meaning that the distribution of $latex {X_{t+s}-X_t}&fg=000000$ does not depend on t. In... | |
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manualentry.blogspot.com
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| | | [AI summary] A blog post celebrating the return of typewriters in use and thanking commenters for their engagement. | ||
