论文信息 - Lecture Notes: Temporal Point Processes and the Conditional Intensity Function

Lecture Notes: Temporal Point Processes and the Conditional Intensity Function

These short lecture notes contain a not too technical introduction to point processes on the time line. The focus lies on defining these processes using the conditional intensity function. Furthermore, likelihood inference, methods of simulation and residual analysis for temporal point processes specified by a conditional intensity function are considered.

Jakob Gulddahl Rasmussen | J. Rasmussen

[1] J. Rasmussen,et al. Perfect simulation of Hawkes processes , 2005, Advances in Applied Probability.

[2] Jeffrey D. Scargle,et al. An Introduction to the Theory of Point Processes, Vol. I: Elementary Theory and Methods , 2004, Technometrics.

[3] Jesper Møller,et al. Approximate Simulation of Hawkes Processes , 2006 .

[4] Esko Valkeila,et al. An Introduction to the Theory of Point Processes, Volume II: General Theory and Structure, 2nd Edition by Daryl J. Daley, David Vere‐Jones , 2008 .

[5] V. Isham,et al. A self-correcting point process , 1979 .

[6] Ulrike Goldschmidt,et al. An Introduction To The Theory Of Point Processes , 2016 .

[7] Yosihiko Ogata,et al. Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes , 1988 .

[8] Y. Ogata. Space-Time Point-Process Models for Earthquake Occurrences , 1998 .

[9] J. Møller,et al. Statistical Inference and Simulation for Spatial Point Processes , 2003 .

[10] A. Hawkes. Spectra of some self-exciting and mutually exciting point processes , 1971 .

[11] A. Hawkes. Point Spectra of Some Mutually Exciting Point Processes , 1971 .

[12] Yosihiko Ogata,et al. On Lewis' simulation method for point processes , 1981, IEEE Trans. Inf. Theory.