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Results tagged with probability-distributions
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user 36687
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.
1
vote
1
answer
171
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A diffuse probability distribution in high dimensions with order constraints
Consider the following subset of the unit cube in $\mathbb R^n$:
$$
\mathcal D = \{ p = (p_1,p_2,\dots,p_n) \in [0,1]^n:\; p_1 \le p_2 \le \cdots \le p_n\}.
$$
We would like to construct a probability …
- 1,731
5
votes
3
answers
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Random partitions with prescribed pairwise membership probabilities
Let $(p_{ij}) \in [0,1]^{n \times n}$ be a given symmetric matrix, with $1$ on the diagonal. Suppose $\pi$ is a partition of $[n]=\{1,\dots,n\}$ and let us write $i \stackrel{\pi}{\sim} j$ if $i$ and …
- 1,731