Cluster models for earthquakes: Regional comparisons, Journal of the International Association for Mathematical Geology, vol.32, issue.1, pp.463-475, 1976. ,
DOI : 10.1007/BF01028982
Modeling financial contagion using mutually exciting jump processes, National Bureau of Economic Research, 2010. ,
Parameter estimation for the square-root diffusions: Ergodic and nonergodic cases. Stochastic Models, pp.609-634, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00579644
Non-parametric kernel estimation for symmetric Hawkes processes. Application to high frequency financial data, The European Physical Journal B, vol.96, issue.5, pp.1-12, 2012. ,
DOI : 10.1140/epjb/e2012-21005-8
URL : https://hal.archives-ouvertes.fr/hal-01313844
Scaling limits for Hawkes processes and application to financial statistics, 2012. ,
Modelling microstructure noise with mutually exciting point processes, Quantitative Finance, vol.472, issue.7, pp.65-77, 2013. ,
DOI : 10.1080/14697688.2011.647054
URL : https://hal.archives-ouvertes.fr/hal-01313995
Hawkes model for price and trades high-frequency dynamics, Quantitative Finance, vol.8, issue.7, 2013. ,
DOI : 10.1016/j.finmar.2006.09.001
URL : https://hal.archives-ouvertes.fr/hal-01313840
Asymptotic behavior of unstable INAR (p) processes. Stochastic Processes and their Applications, pp.583-608, 2011. ,
Dynamic Latent Factor Models for Intensity Processes, SSRN Electronic Journal, 2004. ,
DOI : 10.2139/ssrn.691886
Convergence of probability measures, Wiley. com, vol.493, 2009. ,
DOI : 10.1002/9780470316962
Fluctuations and response in financial markets: the subtle nature of ???random??? price changes, Quantitative Finance, vol.62, issue.2, pp.176-190, 2004. ,
DOI : 10.1080/713665670
Modelling security market events in continuous time: Intensity based, multivariate point process models, Journal of Econometrics, vol.141, issue.2, pp.876-912, 2007. ,
DOI : 10.1016/j.jeconom.2006.11.007
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.200.6894
Hawkes branching point processes without ancestors, Journal of Applied Probability, vol.38, issue.01, pp.122-135, 2001. ,
DOI : 10.1093/biomet/58.1.83
Estimating value-at-risk: a point process approach, Quantitative Finance, vol.108, issue.2, pp.227-234, 2005. ,
DOI : 10.1214/aos/1176344070
A theory of the term structure of interest rates, Econometrica: Journal of the Econometric Society, pp.385-407, 1985. ,
An introduction to the theory of point processes, 2007. ,
Multivariate Hawkes processes: an application to financial data, Journal of Applied Probability, vol.34, issue.A, pp.367-378, 2011. ,
DOI : 10.1137/090771272
Affine Point Processes and Portfolio Credit Risk, SIAM Journal on Financial Mathematics, vol.1, issue.1, pp.642-665, 2010. ,
DOI : 10.1137/090771272
Quantifying reflexivity in financial markets: Toward a prediction of flash crashes, Physical Review E, vol.85, issue.5, p.56108, 2012. ,
DOI : 10.1103/PhysRevE.85.056108
Apparent criticality and calibration issues in the Hawkes self-excited point process model: application to high-frequency financial data. arXiv preprint arXiv:1308, 2013. ,
Critical reflexivity in financial markets: a Hawkes process analysis, 2013. ,
Point spectra of some mutually exciting point processes, Journal of the Royal Statistical Society. Series B (Methodological), pp.438-443, 1971. ,
Spectra of some self-exciting and mutually exciting point processes, Biometrika, vol.58, issue.1, pp.83-90, 1971. ,
DOI : 10.1093/biomet/58.1.83
A cluster process representation of a self-exciting process, Journal of Applied Probability, pp.493-503, 1974. ,
A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options, Review of Financial Studies, vol.6, issue.2, pp.327-343, 1993. ,
DOI : 10.1093/rfs/6.2.327
Clustering of order arrivals, price impact and trade path optimisation, Workshop on Financial Modeling with Jump processes, Ecole Polytechnique, pp.6-8, 2006. ,
Multivariate point processes: predictable projection, Radon-Nikodym derivatives , representation of martingales. Probability Theory and Related Fields, pp.235-253, 1975. ,
Limit theorems for stochastic processes, 1987. ,
DOI : 10.1007/978-3-662-02514-7
Market impact as anticipation of the order flow imbalance. Working paper, 2013. ,
Convergence en loi des suites d'intégrales stochastiques sur l'espace 1 de Skorokhod. Probability Theory and Related Fields, pp.111-137, 1989. ,
DOI : 10.1007/bf00343739
Geometric sums: bounds for rare events with applications: risk analysis, reliability, queueing, 1997. ,
Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations, The Annals of Probability, vol.19, issue.3, pp.1035-1070, 1991. ,
DOI : 10.1214/aop/1176990334
Measuring the resiliency of an electronic limit order book, Journal of Financial Markets, vol.10, issue.1, pp.1-25, 2007. ,
DOI : 10.1016/j.finmar.2006.09.001
The Long Memory of the Efficient Market, Studies in Nonlinear Dynamics & Econometrics, vol.8, issue.3, 2004. ,
DOI : 10.2202/1558-3708.1226
The asymptotic behaviour of maximum likelihood estimators for stationary point processes, Annals of the Institute of Statistical Mathematics, vol.1, issue.1, pp.243-261, 1978. ,
DOI : 10.1007/BF02480216
Likelihood analysis of point processes and its application to seismological data, Bull. Int. Statist. Inst, vol.50, pp.943-961, 1983. ,
Sums of independent random variables, 1975. ,
DOI : 10.1007/978-3-642-65809-9
Adaptive estimation for Hawkes processes; application to genome analysis. The Annals of Statistics, pp.2781-2822, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00863958
Results on generalized Mittag-Leffler function via Laplace transform, Applied Mathematical Sciences, vol.7, issue.12, pp.567-570, 2013. ,
DOI : 10.12988/ams.2013.13047
Relation between bid???ask spread, impact and volatility in order-driven markets, Quantitative Finance, vol.8, issue.1, pp.41-57, 2008. ,
DOI : 10.1080/14697680400008619