2023/11/01 by Seong Jun Park, Park, Seong Jun, M. Y. Choi +1
Business, Management and Accounting · Decision Sciences · Engineering · #Advanced Queuing Theory Analysis #FOS: Physical sciences #Reliability and Maintenance Optimization #Simulation Techniques and Applications #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2311.00538
openalex publication_date 2023/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
There are two main quantities involved in the deviation of a stochastic process from a Poisson process: the squared coefficient of variation of the time intervals between adjacent events and the Fano factor of the number of reaction events. As well known, these two quantities are equal for renewal processes, while their relationship remains unexplored for non-renewal processes. In this paper, we establish an explicit relation between the two statistics that is applicable to non-renewal processes. The new relation, which reduces to the previously mentioned result for renewal processes, is confirmed to be accurate in several cases of non-renewal processes.