Some limit theorems for Hawkes processes and applications to financial statistics, Stoch. Processes Appl, vol.123, pp.2475-2499, 2013. ,
Hawkes processes in finance, Market Microstructure and Liquidity, vol.1, issue.01, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01313838
The spectral analysis of point processes, J. R. Statist. Soc. B, vol.25, pp.264-296, 1963. ,
Modelling financial high frequency data using point processes. Handbook of Financial Time Series, pp.953-979, 2009. ,
, Modeling reciprocating relationships with Hawkes processes. Neural Information Processing Systems, 2012.
Assessment of Point Process Models for Earthquake Forecasting, Institute of Mathematical Statistics, vol.28, pp.510-520, 2013. ,
Stability of nonlinear Hawkes processes, Ann. Probab, vol.24, pp.1563-1588, 1996. ,
Power spectra of random spike fields and related processes, Advances Appl. Probab, vol.37, pp.1116-1146, 2005. ,
Rate of convergence to equilibrium of marked Hawkes processes, J. Appl. Probab, vol.39, pp.123-136, 2002. ,
Hawkes processes and combinatorial transcriptional regulation, 2010. ,
Mean-field limit of generalized Hawkes processes, Stoch. Processes Appl, vol.127, pp.3870-3912, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01217407
Modelling large neural networks via Hawkes processes, 2016. ,
URL : https://hal.archives-ouvertes.fr/tel-01415622
, An introduction to the theory of point processes. Vol. I. Probability and its Applications, 2003.
Statistical inference versus mean field limit for Hawkes processes, Electron. J. Stat, vol.10, pp.1223-1295, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01367752
Hawkes processes on large networks, Ann. Appl. Probab, vol.26, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01102806
Affine Point Processes and Portfolio Credit, Risk Siam J. Finical Math, vol.1, p.642665, 2010. ,
a statistical method to detect favored or avoided distances between occurrences of motifs using the Hawkes model, Stat. Appl. Genet. Mol. Biol., 4, Article, vol.24, 2005. ,
Lasso and probabilistic inequalities for multivariate point processes, Bernoulli, vol.21, issue.1, p.83143, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00722668
Spectra of some self-exciting and mutually exciting point processes, Biometrika, vol.58, pp.83-90, 1971. ,
Point spectra of some mutually exciting point processes, J. Roy. Statist. Soc. Ser, vol.33, pp.438-443, 1971. ,
A cluster process representation of a self-exciting process, J. Appl. Probability, vol.11, pp.493-503, 1974. ,
Clustering of order arrivals, price impact and trade path optimisation, Workshop on Financial Modeling with Jump processes. Ecole Polytechnique, 2006. ,
, Limit theorems for stochastic processes, 2003.
Statistical distributions of earthquake numbers: consequence of branching process, Geophysical Journal International, vol.180, issue.3, p.13131328, 2010. ,
, Multivariate Hawkes Processes, 2009.
, Statistical inference for a partially observed interacting system of Hawkes processes
URL : https://hal.archives-ouvertes.fr/tel-02474901
Central limit theorem for a partially observed interacting system of Hawkes processes ,
High-dimensional Hawkes processes for limit order books: modelling, empirical analysis and numerical calibration, 249264. 91G70 (60G55 62P05), vol.18, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01686122
Tita Self-exciting point process modelling of crime, Journal of the American Statistical Association, vol.106, pp.100-108, 2011. ,
The Markovian self-exciting process, J. Appl. Prob, vol.12, pp.69-77, 1975. ,
The asymptotic behaviour of maximum likelihood estimators for stationary point processes, Ann. Inst. Math. Statist, vol.30, pp.243-261, 1978. ,
Statistical models for earthquake occurrences and residual analysis for point processes, J. Amer. Statist. Assoc, vol.83, pp.9-27, 1988. ,
Relaxation and self-sustained oscillations in the time elapsed neuron network model, SIAM Journal on Applied Mathematics, vol.73, pp.1260-1279, 2013. ,
Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation, The Journal of Mathematical Neuroscience (JMN), vol.4, p.126, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01054561
Self-exciting point process in modeling earthquake occurrences, Journal of Physics: Conference Series, 2017. ,
A Review of Self-Exciting Spatio-Temporal Point Processes and Their Applications ,
Adaptive estimation for Hawkes processes; application to genome analysis, Ann. Statist, vol.38, pp.2781-2822, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00863958
, Inference of functional connectivity in Neurosciences via Hawkes processes 1st IEEE Global Conference on Signal and Information Processing, 2013.
Computing confidence intervals for point process models, Neural Computation, vol.23, pp.2731-2745, 2011. ,
Modeling events with cascades of Poisson processes, Proceedings of the 26th Conference on Uncertainty in Artificial Intelligence (UAI), 2010. ,
A class of interacting marked point processes: Rate of convergence to equilibrium, Journal of Applied Probability, vol.39, pp.137-160, 2002. ,
Gaussian approximation of nonlinear Hawkes processes, Ann. Appl. Probab, vol.26, issue.4, p.8, 2016. ,
Poisson approximation of point processes with stochastic intensity, and application to nonlinear Hawkes processes, Ann. Inst. H. Poincaré Probab. Statist, vol.53, pp.679-700, 2017. ,
From point process observations to collective neural dynamics: Nonlinear Hawkes process GLMs, low-dimensional dynamics and coarse graining, Journal of Physiology-Paris, vol.110, pp.336-347, 2017. ,
, Markov-Modulated Hawkes Processes for Sporadic and Bursty Event Occurrences
Learning triggering kernels for multi-dimensional Hawkes processes, Proceedings of the 30th International Conference on Machine Learning, 2013. ,
Central limit theorem for nonlinear Hawkes processes, Journal of Applied Probability, vol.50, issue.3, pp.760-771, 2013. ,
, Nonlinear Hawkes Processes, 2013.
Large deviations for Markovian nonlinear Hawkes processes, Ann. App. Probab, vol.25, pp.548-581, 2015. ,