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Uniform large and moderate deviations for functional empirical processes

open access: yes
For {Xi}i >= 1 a sequence of i.i.d. random variables taking values in a Polish space [Sigma] with distribution [mu], we obtain large and moderate deviation principles for the processes {n-1 [Sigma][nt]i = 1 [delta]Xi; t >= 0}n >= 1 and {n-1/2 [Sigma][nt ...
Zajic, Tim, Dembo, Amir
core  

A bivariate Lévy process with negative binomial and gamma marginals

open access: yes
The joint distribution of X and N, where N has a geometric distribution and X is the sum of N IID exponential variables (independent of N), is infinitely divisible.
Kozubowski, Tomasz J.   +2 more
core  

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