. Abergel, . Frédéric, . Anane, . Marouane, . Chakraborti et al., Limit order books, 2016.
DOI : 10.1017/CBO9781316683040
URL : https://hal.archives-ouvertes.fr/hal-01686122

E. Bacry, . Dayri, . Khalil, . Muzy, and . Jean-françois, 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 : 10.1103/PhysRevLett.96.068701
URL : https://hal.archives-ouvertes.fr/hal-01313844

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.
DOI : 10.1103/PhysRevE.62.R4493
URL : https://hal.archives-ouvertes.fr/hal-00002329

J. Bouchaud, . Gefen, . Yuval, . Potters, . Marc et al., 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

H. Bozdogan, Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions, Psychometrika, vol.10, issue.2, pp.345-370, 1987.
DOI : 10.1007/978-94-009-4828-0

A. Chakraborti, M. Toke, . Ioane, . Patriarca, . Marco et al., Econophysics review: I. Empirical facts, Quantitative Finance, vol.382, issue.7, pp.991-1012, 2011.
DOI : 10.1016/j.jebo.2004.11.016
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.
DOI : 10.1287/opre.1090.0780
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.58, issue.04, pp.838-860, 2012.
DOI : 10.1111/1468-0262.00274

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.96-1348, 2001.
DOI : 10.1198/016214501753382273
URL : http://www.stat.psu.edu/~rli/research/penlike.pdf

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.5, issue.2, pp.109-135, 1993.
DOI : 10.1137/0905052

M. D. Gould, . Porter, . A. Mason, . Williams, . Stacy et al., Limit order books, Quantitative Finance, vol.8, issue.11, pp.1709-1742
DOI : 10.1080/14697680400008619

N. Hansen, . Richard, . Reynaud-bouret, . Patricia, . Rivoirard et al., Lasso and probabilistic inequalities for multivariate point processes, Bernoulli, vol.21, issue.1, pp.83-143, 2015.
DOI : 10.3150/13-BEJ562
URL : https://hal.archives-ouvertes.fr/hal-00722668

W. Huang, . Lehalle, . Charles-albert, . Rosenbaum, and . Mathieu, Simulating and Analyzing Order Book Data: The Queue-Reactive Model, Journal of the American Statistical Association, vol.3, issue.509, pp.107-122, 2015.
DOI : 10.1080/14697680701344515
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.28, issue.2, pp.1-11, 2016.
DOI : 10.1103/PhysRevLett.97.150601
URL : https://hal.archives-ouvertes.fr/hal-01134105

C. Lehalle, . Mounjid, and . Othmane, Limit Order Strategic Placement with Adverse Selection Risk and the Role of Latency, Market Microstructure and Liquidity, vol.1, issue.1, p.1750009, 2017.
DOI : 10.1080/14697688.2012.690886
URL : http://www.worldscientific.com/doi/pdf/10.1142/S2382626617500095

F. Lillo, . Farmer, and . Doyne, The Long Memory of the Efficient Market, Studies in nonlinear dynamics & econometrics, 2004.
DOI : 10.2202/1558-3708.1226
URL : http://arxiv.org/abs/cond-mat/0311053

A. Lipton, U. Pesavento, and M. G. Sotiropoulos, Trade arrival dynamics and quote imbalance in a limit order book. arxiv preprint arxiv, pp.1312-0514, 2013.

M. Toke and I. , Reconstruction of Order Flows using Aggregated Data, Market Microstructure and Liquidity, vol.02, issue.02, pp.2-1650007, 2016.
DOI : 10.1016/S1042-4431(00)00048-2
URL : https://hal.archives-ouvertes.fr/hal-01705074

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.
DOI : 10.1088/1469-7688/3/6/307
URL : https://hal.archives-ouvertes.fr/hal-01705080

E. Rio, Asymptotic Theory of Weakly Dependent Random Processes. Probability Theory and Stochastic Modelling, 2017.
DOI : 10.1007/978-3-662-54323-8

S. Stoikov, The Micro-Price, SSRN Electronic Journal, 2017.
DOI : 10.2139/ssrn.2970694

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.
DOI : 10.1111/j.1467-9868.2011.00771.x

Y. Umezu, . Shimizu, . Yusuke, . Masuda, . Hiroki et al., AIC for the non-concave penalized likelihood method, Annals of the Institute of Statistical Mathematics, vol.38, 2015.
DOI : 10.1214/009053607000000127
URL : http://arxiv.org/pdf/1509.01688

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.
DOI : 10.1198/016214507000000509

N. Yoshida, Polynomial type large deviation inequalities and quasi-likelihood analysis for stochastic differential equations, Annals of the Institute of Statistical Mathematics, vol.129, issue.2, pp.431-479, 2011.
DOI : 10.1007/s00440-003-0325-8

Y. Yue, . Ryan, J. Loh, and . Meng, Variable selection for inhomogeneous spatial point process models, Canadian Journal of Statistics, vol.67, issue.2, pp.288-305, 2015.
DOI : 10.1111/j.1467-9868.2005.00503.x

H. Zou, The Adaptive Lasso and Its Oracle Properties, Journal of the American Statistical Association, vol.101, issue.476, pp.1418-1429, 2006.
DOI : 10.1198/016214506000000735
URL : http://cbio.ensmp.fr/~jvert/svn/bibli/local/Zou2006adaptive.pdf