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Articles

Mining periodic patterns and cascading bursts phenomenon in individual e-mail communication

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Pages 2603-2626 | Received 12 Jul 2018, Accepted 31 Mar 2019, Published online: 21 Apr 2019

References

  • A.L. Barabási, The origins of bursts and heavy tails in human dynamics, Nature 435 (2005), pp. 207–211. doi: 10.1038/nature03459
  • M.S. Bartlett, The spectral analysis of point processes, J. Roy. Stat. Soc. 25 (1963), pp. 264–296.
  • V. Belik, T. Geisel, and D. Brockmann, Natural human mobility patterns and spatial spread of infectious diseases, Phys. Rev. X. 1 (2011), pp. 3103–3106.
  • A. Berchtold, The double chain Markov model, Commun. Stat-Theor. M. 28 (1999), pp. 2569–2589. doi: 10.1080/03610929908832439
  • K. Bhattacharya and K. Kaski, Social Physics: Uncovering Human Behaviour from Communication, arXiv preprint (2018) Available at arXiv:1804.04907.
  • D. Brockmann, L. Hufnagel, and T. Geisel, The scaling laws of human travel, Nature 439 (2006), pp. 462–465. doi: 10.1038/nature04292
  • A. Clauset, C.R. Shalizi, and M.E.J. Newman, Power-law distributions in empirical data, Siam Review 51 (2009), pp. 661–703. doi: 10.1137/070710111
  • D.R. Cox, Some statistical methods connected with series of events, J. Roy. Stat. Soc. B. 17 (1955), pp. 129–164.
  • J.P. Eckmann, E. Moses, D. Sergi, and L.P. Kadanoff, Entropy of dialogues creates coherent structures in e-mail traffic, P. Natl. A. Sci. 101 (2004), pp. 14333–14337. doi: 10.1073/pnas.0405728101
  • A.M. Edwards, R.A. Phillips, and N.W. Watkins, Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer, Nature 449 (2007), pp. 1044–1048. doi: 10.1038/nature06199
  • W. Fischer, and K. Meier-Hellstern, The Markov-modulated Poisson process (MMPP) cookbook, Performance Evaluation 18 (1993), pp. 149–171. doi: 10.1016/0166-5316(93)90035-S
  • E.W. Fox, M.B. Short, F.P. Schoenberg, K.D. Coronges, and A.L. Bertozzi, Modeling e-mail networks and inferring leadership using self-exciting point processes, J. Am. Stat. Assoc. 111 (2016), pp. 564–584. doi: 10.1080/01621459.2015.1135802
  • M.C. Gonzalez, C.A. Hidalgo, and A.L. Barabási, Understanding individual human mobility patterns, Nature 453 (2008), pp. 779–782. doi: 10.1038/nature06958
  • X.P. Han, X.W. Wang, X.Y. Yan, and B.H. Wang, Cascading walks model for human mobility patterns, PLoS. ONE. 10 (2013), pp. 1–19.
  • A.G. Hawkes, Spectra of some self-exciting and mutually exciting point processes, Biometrika 58 (1971), pp. 83–90. doi: 10.1093/biomet/58.1.83
  • M. Karsai, K. Kaski, A.L. Barabási, and J. Kertész, Universal features of correlated bursty behaviour, Sci. Rep. 2 (2012), pp. 539–539. doi: 10.1038/srep00397
  • M. Kivela and M.A. Porter, Estimating interevent time distributions from finite observation periods in communication networks, Phys Rev E 92 (2015), pp. 1–10. doi: 10.1103/PhysRevE.92.052813
  • R. Langrock, D.L. Borchers, and H.J. Skaug, Markov-modulated nonhomogeneous poisson processes for modeling detections in surveys of marine mammal abundance, J. Am. Stat. Assoc. 108 (2013), pp. 840–851. doi: 10.1080/01621459.2013.797356
  • P.A. Lewis and G.S. Shedler, Simulation of nonhomogeneous Poisson processes by thinning, Nav. Res. Log. (NRL) 26 (1979), pp. 403–413. doi: 10.1002/nav.3800260304
  • R.D. Malmgren, J.M. Hofman, L.A.N. Amaral, and D.J. Watts, Characterizing individual communication patterns, in Proceedings of the 15th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, New York, Association for Computing Machinery, 2009, pp. 607–615
  • R.D. Malmgren, D.B. Stouffer, A.S. Campanharo, and L.A.N. Amaral, On universality in human correspondence activity, Science 325 (2009), pp. 1696–1700. doi: 10.1126/science.1174562
  • R.D. Malmgren, D.B. Stouffer, A.E. Motter, and L.A. Amaral, A Poissonian explanation for heavy tails in e-mail communication, P. Nat. A. Sci. 105 (2008), pp. 18153–18158. doi: 10.1073/pnas.0800332105
  • G.J. McLachlan and T. Krishnan, The EM algorithm and extensions, Vol. 382, John Wiley and Sons, New Jersey, 2007.
  • X.L. Meng and D.B. Rubin, Recent extensions of the EM algorithm (with discussion), Bayesian stat. 4 (1992), pp. 307–320.
  • G. Mohler, Modeling and estimation of multi-source clustering in crime and security data, Ann. Appl. Stat. 7 (2013), pp. 1525–1539. doi: 10.1214/13-AOAS647
  • G.O. Mohler, M.B. Short, P.J. Brantingham, F.P. Schoenberg, and G.E. Tita, Self-exciting point process modeling of crime, J. Am. Stat. Assoc. 106 (2011), pp. 100–108. doi: 10.1198/jasa.2011.ap09546
  • M.E.J. Newman, Power Laws, Pareto Distributions and Zipf's Law, Contemp. Phys. 46 (2006), pp. 323–351. doi: 10.1080/00107510500052444
  • J. Neyman and E.L. Scott, Statistical Approach to Problems of Cosmology, J. Roy. Stat. Soc. B. 20 (1958), pp. 1–43.
  • J. Neyman, E.L. Scott, and C.D. Shane, Statistics of Images of Galaxies with Particular Reference to Clustering, in Berkeley Symposium on Mathematical Statistics and Probability. 1958, pp. 75–106
  • R. Perline, Strong, weak and false inverse power laws, Stat. Sci. 20 (2005), pp. 68–88. doi: 10.1214/088342304000000215
  • P. Reynaud-Bouret and S. Schbath, Adaptive estimation for hawkes processes; application to genome analysis, Ann. Stat. 38 (2010), pp. 2781–2822. doi: 10.1214/10-AOS806
  • E.R. Rodrigues and J.A. Achcar, Applications of discrete-time Markov chains and Poisson processes to air pollution modeling and studies, Springer, New York, 2013.
  • T. Rydén, An EM algorithm for estimation in Markov-modulated Poisson processes, Comput. Stat. Data Anal. 21 (1996), pp. 431–447. doi: 10.1016/0167-9473(95)00025-9
  • P. Salvador, R. Valadas, and A. Pacheco, Multiscale fitting procedure using Markov modulated Poisson processes, Telecommun. Syst. 23 (2003), pp. 123–148. doi: 10.1023/A:1023672904130
  • S.L. Scott, Bayesian Analysis of a Two-State Markov Modulated Poisson Process, J. Comput. Graph. Stat. 8 (1999), pp. 662–670.
  • S.L. Scott and P. Smyth, The Markov modulated Poisson process and Markov Poisson cascade with applications to web traffic data, Bayesian Stat. 7 (2003), pp. 671–680.
  • D.B. Stouffer, R.D. Malmgren, and L.A.N. Amaral, Log-normal statistics in e-mail communication patterns, (2006) Available at arXiv:physics/060527
  • S.F. Wang, X. Feng, Y. Wu, and J.H. Xiao, Double dynamic scaling in human communication dynamics, Phys. A Stat. Mech. Appl. 473 (2017), pp. 313–318. doi: 10.1016/j.physa.2017.01.010
  • W.J. Wang, L. Pan, N. Yuan, S. Zhang, and D. Liu, A comparative analysis of intra-city human mobility by taxi, Phys. A Stat. Mech. Appl. 420 (2015), pp. 134–147. doi: 10.1016/j.physa.2014.10.085

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