Abstract
Motivated by a simple probabilistic model for the radioactive decay, we show thatSerfling's [1978] approach to Poisson approximation using coupling techniques can in a natural way also be applied to Poisson process approximation. This provides at the same time uniform estimations for the deviation of a Markov-Bernoulli process from the approximating Poisson process with respect to the total variation distance. An application to quasirandom input queuing models is also given.
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Pfeifer, D. Coupling methods in connection with Poisson process approximation. Zeitschrift für Operations Research 29, 217–223 (1985). https://doi.org/10.1007/BF01920310
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DOI: https://doi.org/10.1007/BF01920310