F. Abergel, . Anane, . Marouane, . Chakraborti, . Anirban et al., Limit order books, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02177394

E. Bacry, . Dayri, . Khalil, . Muzy, and . Jean-françois, Non-parametric kernel estimation for symmetric Hawkes processes, The European Physical Journal B-Condensed Matter and Complex Systems, vol.85, issue.5, pp.1-12, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01313844

E. Bacry, . Delattre, . Sylvain, M. Hoffmann, . Muzy et al., Modelling microstructure noise with mutually exciting point processes, Quantitative finance, vol.13, issue.1, pp.65-77, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01313995

J. Bouchaud, . Mézard, . Marc, . Potters, and . Marc, Statistical properties of stock order books: empirical results and models, Quantitative finance, vol.2, issue.4, pp.251-256, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00002329

J. Bouchaud, . Gefen, . Potters, . Marc, and M. Wyart, Fluctuations and response in financial markets: the subtle nature of 'random'price changes, Quantitative finance, vol.4, issue.2, pp.176-190, 2004.

C. G. Bowsher, Modelling security market events in continuous time: Intensity based, multivariate point process models, Journal of Econometrics, vol.141, pp.876-912, 2007.

H. Bozdogan, Model selection and Akaike's information criterion (AIC): The general theory and its analytical extensions, Psychometrika, vol.52, issue.3, pp.345-370, 1987.

A. Chakraborti, M. Toke, . Ioane, . Patriarca, . Marco et al., Econophysics review: I. Empirical facts, Quantitative Finance, vol.11, issue.7, pp.991-1012, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00621058

. Cont, . Rama, . Stoikov, . Sasha, and R. Talreja, A stochastic model for order book dynamics, Operations research, vol.58, issue.3, pp.549-563, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00497666

D. Gregorio, A. Iacus, and M. Stefano, Adaptive LASSO-type estimation for multivariate diffusion processes, Econometric Theory, vol.28, issue.4, pp.838-860, 2012.

J. Fan and R. Li, Variable selection via nonconcave penalized likelihood and its oracle properties, Journal of the American statistical Association, vol.96, issue.456, pp.1348-1360, 2001.

J. Fan and R. Li, Variable selection for Cox's proportional hazards model and frailty model, Annals of Statistics, vol.30, issue.1, pp.74-99, 2002.

L. E. Frank, . Friedman, and H. Jerome, A statistical view of some chemometrics regression tools, Technometrics, vol.35, issue.2, pp.109-135, 1993.

M. D. Gould, M. A. Porter, . Williams, . Stacy, . Mcdonald et al., Limit order books, Quantitative Finance, vol.13, issue.11, pp.1709-1742, 2013.

N. Hansen, . Richard, -. Reynaud, P. Bouret, . Rivoirard et al., Lasso and probabilistic inequalities for multivariate point processes, Bernoulli, vol.21, issue.1, pp.83-143, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00722668

W. Huang, C. Lehalle, . Rosenbaum, and . Mathieu, Simulating and analyzing order book data: The queue-reactive model, Journal of the American Statistical Association, vol.110, issue.509, pp.107-122, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01172326

Y. Kinoshita, . Yoshida, and . Nakahiro, Penalized quasi-likelihood estimation for variable selection, 2018.

M. Lallouache and D. Challet, The limits of statistical significance of Hawkes processes fitted to financial data, Quantitative Finance, vol.16, issue.1, pp.1-11, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01134105

C. Lehalle and O. Mounjid, Limit order strategic placement with adverse selection risk and the role of latency, Market Microstructure and Liquidity, vol.3, issue.01, p.1750009, 2017.

F. Lillo, . Farmer, and . Doyne, The long memory of the efficient market, Studies in nonlinear dynamics & econometrics, vol.8, issue.3, 2004.

A. Lipton, U. Pesavento, and M. G. Sotiropoulos, Trade arrival dynamics and quote imbalance in a limit order book, 2013.

. Muni-toke and . Ioane, Reconstruction of Order Flows using Aggregated Data, Market Microstructure and Liquidity, issue.02, p.1650007, 2016.

M. Toke, . Ioane, . Pomponio, and . Fabrizio, Modelling trades-through in a limited order book using Hawkes processes, Economics -journal, vol.6, p.22, 2012.

M. Toke, . Ioane, . Yoshida, and . Nakahiro, Modelling intensities of order flows in a limit order book, Quantitative Finance, vol.17, issue.5, pp.683-701, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01705080

Y. Ogata, The asymptotic behaviour of maximum likelihood estimators for stationary point processes, Annals of the Institute of Statistical Mathematics, vol.30, issue.1, pp.243-261, 1978.

T. Ozaki, Maximum likelihood estimation of Hawkes' self-exciting point processes, Annals of the Institute of Statistical Mathematics, vol.31, issue.1, pp.145-155, 1979.

E. Rio, Asymptotic Theory of Weakly Dependent Random Processes. Probability Theory and Stochastic Modelling, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02063543

S. Stoikov, The Micro-Price: A High Frequency Estimator of Future Prices, 2017.

T. Suzuki, . Yoshida, and . Nakahiro, Penalized least squares approximation methods and their applications to stochastic processes, 2018.

R. Tibshirani, Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society. Series B (Methodological), vol.58, issue.1, pp.267-288, 1996.

Y. Umezu, . Shimizu, . Yusuke, . Masuda, . Hiroki et al., AIC for non-concave penalized likelihood method, 2015.

H. Wang and C. Leng, Unified LASSO estimation by least squares approximation, Journal of the American Statistical Association, vol.102, issue.479, pp.1039-1048, 2007.

N. Yoshida, Polynomial type large deviation inequalities and quasi-likelihood analysis for stochastic differential equations, Annals of the Institute of Statistical Mathematics, vol.63, issue.3, pp.431-479, 2011.

Y. Yue, . Ryan, J. Loh, and . Meng, Variable selection for inhomogeneous spatial point process models, Canadian Journal of Statistics, vol.43, issue.2, pp.288-305, 2015.

H. Zou, The adaptive lasso and its oracle properties, Journal of the American statistical association, vol.101, issue.476, pp.1418-1429, 2006.