文献类型：期刊文献

英文题名：Two-state Markov-chain Poisson nature of individual cellphone call statistics

作者：Jiang, Zhi-Qiang[1,2];Xie, Wen-Jie[1,2];Li, Ming-Xia[1,2];Zhou, Wei-Xing[1,2];Sornette, Didier[3,4]

机构：[1]East China Univ Sci & Technol, Sch Business, Dept Math, Shanghai 200237, Peoples R China;[2]East China Univ Sci & Technol, Res Ctr Econophys, Shanghai 200237, Peoples R China;[3]ETH, Dept Management Technol & Econ, Scheuchzerstr 7, CH-8092 Zurich, Switzerland;[4]Univ Geneva, Swiss Finance Inst, 40 Blvd Pont dArve, CH-1211 Geneva 4, Switzerland

年份：2016

外文期刊名：JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000381379800017)】；

基金：This work was partially supported by the NSFC Grant (11205057, 11375064 and 11505063), the PhD Programs Foundation of Ministry of Education of China Grant 20120074120028, China Scholarship Council (201406745014), and the Fundamental Research Funds for the Central Universities.

语种：英文

外文关键词：nonlinear dynamics; online dynamics; socio-economic networks; stochastic processes

摘要：Unfolding the burst patterns in human activities and social interactions is a very important issue especially for understanding the spreading of disease and information and the formation of groups and organizations. Here, we conduct an in-depth study of the temporal patterns of cellphone conversation activities of 73 339 anonymous cellphone users, whose inter-call durations are Weibull distributed. We find that the individual call events exhibit a pattern of bursts, that high activity periods are alternated with low activity periods. In both periods, the number of calls are exponentially distributed for individuals, but power-law distributed for the population. Together with the exponential distributions of inter-call durations within bursts and of the intervals between consecutive bursts, we demonstrate that the individual call activities are driven by two independent Poisson processes, which can be combined within a minimal model in terms of a two-state first-order Markov chain, giving significant fits for nearly half of the individuals. By measuring directly the distributions of call rates across the population, which exhibit power-law tails, we purport the existence of power-law distributions, via the 'superposition of distributions' mechanism. Our findings shed light on the origins of bursty patterns in other human activities.