2009/11/13 by Don H. Johnson, Johnson, D. H., Ilan N. Goodman +1
Computer Science · Engineering · Mathematics · #Bayesian Modeling and Causal Inference #Control Systems and Identification #Data Analysis #FOS: Physical sciences #Statistical Methods and Inference #Statistics and Probability (physics.data-an)
paper · pdf · doi:10.48550/arxiv.0911.2524
openalex publication_date 2009/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
What constitutes jointly Poisson processes remains an unresolved issue. This report reviews the current state of the theory and indicates how the accepted but unproven model equals that resulting from the small time-interval limit of jointly Bernoulli processes. One intriguing consequence of these models is that jointly Poisson processes can only be positively correlated as measured by the correlation coefficient defined by cumulants of the probability generating functional.