AN INFINITELY DIVISIBLE MARKOV PROCESS
CALIFORNIA UNIV LOS ANGELES
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This paper studies the limiting distribution of a time-dependent random variable w ich is a Markov process with stationary transition probabilities. The model is couched in terms of an individuals resources, which decay exponentially but are incremented by random amounts at times which are Poisson distributed, but other applications are available e. g., neuron responses. The characteristic function of the Markov process is exhibited, showing that the distribution is a generalized Poisson. The limiting distribution is shown to be the stationary distribution.