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Results tagged with probability-distributions
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user 67002
In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.
11
votes
2
answers
1k
views
Distribution of infinity-norm over the unit sphere
I need to compute probabilities of the form
$P( \Vert X \Vert_\infty < r ),$
where $X$ is a random variable of dimension $n$, drawn with a uniform distribution on the unit sphere $\mathcal{S}_{n-1}$. …
- 4,713
6
votes
1
answer
594
views
when does elementwise-log preserve positive-semidefiniteness?
Let $Z$ be a positive semidefinite matrix with nonnegative entries, and define $X=\log(1+Z)$, where the $\log$ is taken entrywise, i.e., $X_{ij}=\log(1+Z_{ij})$. Are there some simple sufficient condi …
- 54.2k