Abstract
Discussion of an approach to the definition and measurement of the qualitative property of “burstiness” of a some stationary point processes. By use of an independent, concurrent labeling process, the occurrence of bursts of arrivals is highlighted. For the case of a Poisson labeling process, multiple labels can be used to generate a decomposition of the point process in subprocesses of differing “burstiness.” Matrix-analytic expressions for correlations and run lengths distributions are obtained for point processes generated by the transition epochs of a Markov renewal process. Such processes can be used as benchmarks in data-analytic procedures that are proposed
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