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Inter-arrival time distribution for the non-homogeneous Poisson process

Gleb Yakovlev, John B. Rundle, Robert Shcherbakov, Donald L. Turcotte

cond-mat.stat-mecharXiv:cond-mat/0507657

Abstract

We derive an analytical expression of the inter-arrival time distribution for a non-homogeneous Poisson process (NHPP). This expression is exact and is applicable to any time interval, finite or infinite. As an illustration, we present simulation results for three different intensity functions.

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