Cramer's theorem for nonnegative multivariate point processes with independent increments

Details Cramer's theorem for nonnegative multivariate point processes with independent increments Cramer's theorem for nonnegative multivariate point processes with independent increments

2005-07-13

arxiv.org/abs/math/0507258v2

Mathematics

Probability

8 ppages, 2 figures

Scientific paper

We consider a continuous time version of Cramer's theorem with nonnegative
summands $ S_t=\frac{1}{t}\sum_{i:\tau_i\le t}\xi_i, t \to\infty, $ where
$(\tau_i,\xi_i)_{i\ge 1}$ is a sequence of random variables such that $tS_t$ is
a random process with independent increments.

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