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Results tagged with pr.probability
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user 11409
Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
3
votes
a point process is characterized by its void probabilities
To add to Omer's concise explanation, the general result is known as Choquet's capacity theorem. It says that the void probabilities characterise any random closed set. Simple point processes are an e …
- 113
2
votes
1
answer
286
views
Negatively associated point processes
A point process $\Phi$ is said to be negatively associated if for any finitely many bounded Borel subsets $B_1,B_2,...,B_n,$ we have that
$$\operatorname{Cov} \left( f\left(\Phi\left(B_1\right),\ldo …
- 113
4
votes
Is there a percolation threshold in the hard discs model?
Perhaps you are already aware of asymptotics for component sizes in the continuum percolation model. It is there in the book of M. Penrose.
Since you asked about percolation on repulsive point proces …
- 113