Eckmann, J.-P., Moses, E., & Sergi, D. (2004). Entropy of Dialogues Creates Coherent Structures in E-Mail Traffic. Proceedings of the National Academy of Sciences of the United States of America, 101, 14333-14337.
https://doi.org/10.1073/pnas.0405728101

has been cited by the following article:

• TITLE: Modeling Bursts and Heavy Tails in Inter-Arrival Claims in Non-Life Insurance

  AUTHORS: Mohamed Hanafy

  KEYWORDS: Inter-Arrival Time, Claims, Non-Life Insurance, Goodness of Fit, Pareto

  JOURNAL NAME: Journal of Financial Risk Management, Vol.9 No.3, September 29, 2020

  ABSTRACT: Current insurance models, assuming that inter-arrival time of claims, are distributed randomly and thus well approximated by Poisson processes. Here we provide clear proof that the timing of inter-claims fits by non-Poisson patterns, marked by rapid events, separated by long periods of inactivity. The time of inter-arrival claims will be heavy tailed, most claims will be executed quickly, while a few will have very long waiting times. We will model and analysis of insurance based on claim inter-arrival time, the time interval between two successive claims and the ability to carry out such modeling was limited by a lack of ecologically relevant data collected on claims inter-arrival. We propose a structured process behavior model based on data from Egyptian fire insurance company. Our analysis shows that claim activities can be represented by non-Poisson processes and that the subsequent distribution of inter-arrival activity times follows the Pareto distribution. These results will help researchers understand daily behavioral trends and create more sophisticated predictive models of claims.