.. Minimax-properties-for-known-?, 84 3.3.1 Chaos estimator, p.86

.. Auxiliary-results, 134 Chapter 4 Kernel estimation Date Open High Low Close Volume Adj

K. Andersen, Ø. Borgan, R. D. Gill, and N. Keiding, Statistical models based on counting processes, 1993.
DOI : 10.1007/978-1-4612-4348-9

. Asmussen, Applied probability and queues, 2008.

S. Asmussen and H. Albrecher, Ruin probabilities, p.37, 2010.
DOI : 10.1142/9789812779311

URL : https://hal.archives-ouvertes.fr/hal-00569254

V. E. Bening and V. Y. Korolev, Generalized Poisson models and their applications in insurance and finance, 2002.
DOI : 10.1515/9783110936018

W. Bialek, F. Rieke, R. De-ruyter-van-steveninck, and D. Warland, Reading a neural code, Science, vol.252, issue.5014, pp.1854-1857, 1991.
DOI : 10.1126/science.2063199

G. Biau, F. Cérou, and A. Guyader, Rates of convergence of the functionalnearest neighbor estimate. Information Theory, IEEE Transactions on, vol.56, issue.115, pp.2034-2040, 2010.

P. J. Bickel, On adaptive estimation. The Annals of Statistics, pp.647-671, 1982.

P. Billingsley, Convergence of probability measures, p.69, 2013.
DOI : 10.1002/9780470316962

L. Birgé, Approximation dans les espaces métriques et théorie de l'estimation. Probability Theory and Related Fields, pp.181-237, 1983.

T. Björk and J. Grandell, Exponential inequalities for ruin probabilities in the Cox case, Scandinavian Actuarial Journal, vol.14, issue.1-3, pp.77-111, 1988.
DOI : 10.1080/03461238.1988.10413839

D. Bohning, A Note on a Test for Poisson Overdispersion, Biometrika, vol.81, issue.2, pp.418-419, 1994.
DOI : 10.2307/2336974

A. N. Borodin and P. Salminen, Handbook of Brownian motion-facts and formulae. Birkhäuser, 2012.

P. Brémaud, Point processes and queues, 1981.
DOI : 10.1007/978-1-4684-9477-8

J. Bretagnolle and C. Huber, Estimation des densités : risque minimax. Probability Theory and Related Fields, pp.119-137, 1979.
DOI : 10.1007/bf00535278

. Brette, Generation of Correlated Spike Trains, Neural Computation, vol.20, issue.14, pp.188-215, 2008.
DOI : 10.1038/78829

L. Brown, N. Gans, A. Mandelbaum, A. Sakov, H. Shen et al., Statistical Analysis of a Telephone Call Center, Journal of the American Statistical Association, vol.100, issue.469, pp.36-50, 2005.
DOI : 10.1198/016214504000001808

D. L. Burkholder, B. J. Davis, and R. F. Gundy, Integral inequalities for convex functions of operators on martingales, Proc. Sixth Berkeley Symp. Math. Statist. Prob, pp.223-240, 1972.

B. Cadre and L. Truquet, Nonparametric regression estimation onto a Poisson point process covariate, ESAIM: Probability and Statistics, vol.19, issue.90, pp.251-267, 2015.
DOI : 10.1051/ps/2014023

URL : https://hal.archives-ouvertes.fr/hal-01258536

B. Cadre, N. Klutchnikoff, and G. Massiot, Minimax regression estimation for poisson coprocess. ESAIM: Probability and Statistics, p.2017
DOI : 10.1051/ps/2017004

URL : https://hal.archives-ouvertes.fr/hal-01430576

B. Cadre, G. Massiot, and L. Truquet, Nonparametric tests for Cox processes, Journal of Statistical Planning and Inference, vol.184, pp.48-61
DOI : 10.1016/j.jspi.2016.12.001

URL : https://hal.archives-ouvertes.fr/hal-01430572

W. Carroll and D. A. Ostlie, An introduction to modern astrophysics and cosmology, 2007.

G. Chagny and A. Roche, Adaptive estimation in the functional nonparametric regression model, Journal of Multivariate Analysis, vol.146, issue.80, pp.105-118, 2016.
DOI : 10.1016/j.jmva.2015.07.001

URL : https://hal.archives-ouvertes.fr/hal-01099520

D. D. Cox, Multivariate Smoothing Spline Functions, SIAM Journal on Numerical Analysis, vol.21, issue.4, pp.789-813, 1984.
DOI : 10.1137/0721053

D. D. Cox and F. O. Sullivan, Asymptotic analysis of penalized likelihood and related estimators. The Annals of Statistics, pp.1676-1695, 1990.
DOI : 10.1214/aos/1176347872

D. R. Cox, Some statistical methods connected with series of events, Journal of the Royal Statistical Society. Series B (Methodological), vol.20, issue.36, pp.129-164, 1955.

D. R. Cox and V. Isham, Point processes, 1980.

R. Davidson and J. G. Mackinnon, The power of bootstrap and asymptotic tests, Journal of Econometrics, vol.133, issue.2, pp.421-441, 2006.
DOI : 10.1016/j.jeconom.2005.06.002

M. Denuit, X. Maréchal, S. Pitrebois, and J. Walhin, Actuarial modelling of claim counts: Risk classification, credibility and bonus-malus systems, p.25, 2007.
DOI : 10.1002/9780470517420

L. Devroye and G. Lugosi, A universally acceptable smoothing factor for kernel density estimates. The Annals of Statistics, pp.2499-2512, 1996.
DOI : 10.1214/aos/1032181164

R. F. Engle, Wald, likelihood ratio, and lagrange multiplier tests in econometrics . Handbook of econometrics, pp.775-826, 1984.
DOI : 10.1016/s1573-4412(84)02005-5

J. Friedman, T. Hastie, and R. Tibshirani, The elements of statistical learning, p.144, 2001.

S. Gaïffas and A. Guilloux, High-dimensional additive hazards models and the Lasso, Electronic Journal of Statistics, vol.6, issue.0, pp.522-546, 2012.
DOI : 10.1214/12-EJS681

W. Gerstner and W. M. Kistler, Spiking neuron models: Single neurons, populations, plasticity, 2002.
DOI : 10.1017/CBO9780511815706

L. Györfi, M. Kohler, A. Krzyzak, and H. Walk, A distribution-free theory of nonparametric regression, p.114, 2006.
DOI : 10.1007/b97848

N. R. Hansen, P. Reynaud-bouret, and V. Rivoirard, 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

A. Heuer, C. Mueller, and O. Rubner, Soccer: Is scoring goals a predictable Poissonian process?, EPL (Europhysics Letters), vol.89, issue.3, pp.38007-61, 2010.
DOI : 10.1209/0295-5075/89/38007

URL : http://arxiv.org/pdf/1002.0797

L. Horváth and P. Kokoszka, Inference for functional data with applications, p.27, 2012.
DOI : 10.1007/978-1-4614-3655-3

R. Ibragimov and S. Sharakhmetov, The exact constant in the rosenthal inequality for random variables with mean zero. Theory of Probability & Its Applications, pp.127-132, 2002.

K. Itô, Spectral type of the shift transformation of differential processes with stationary increments. Transactions of the, pp.253-263, 1956.

J. Jacod and A. N. Shiryaev, Limit theorems for stochastic processes, pp.36-65, 2013.

A. F. Karr, Point processes and their statistical applications, 1991.

J. Kerstan, K. Matthes, and J. Mecke, Infinitely divisible point processes, 1978.

J. F. Kingman, Poisson processes. Wiley Online Library, p.23, 1993.

M. Kohler, A. Krzy?ak, and H. Walk, Optimal global rates of convergence for nonparametric regression with unbounded data, Journal of Statistical Planning and Inference, vol.139, issue.4, pp.1286-1296, 2009.
DOI : 10.1016/j.jspi.2008.07.012

S. C. Kou, Stochastic Networks in Nanoscale Biophysics, Journal of the American Statistical Association, vol.103, issue.483, pp.961-975, 2008.
DOI : 10.1198/016214507000001021

S. C. Kou, X. S. Xie, and J. S. Liu, Bayesian analysis of single-molecule experimental data (with discussion), Journal of the Royal Statistical Society: Series C (Applied Statistics), vol.56, issue.3, pp.469-506, 2005.
DOI : 10.1093/biomet/84.3.653

M. Krumin and S. Shoham, Generation of Spike Trains with Controlled Auto- and Cross-Correlation Functions, Neural Computation, vol.23, issue.2, pp.1642-1664, 2009.
DOI : 10.1162/neco.2008.05-07-525

G. Last, Stochastic Analysis for Poisson Processes, Stochastic Analysis for Poisson Point Processes, pp.1-36, 2016.
DOI : 10.1007/PL00008749

URL : http://arxiv.org/abs/1405.4416

G. Last and M. D. Penrose, Poisson process fock space representation, chaos expansion and covariance inequalities. Probability Theory and Related Fields, pp.663-690, 2011.
DOI : 10.1007/s00440-010-0288-5

URL : http://arxiv.org/pdf/0909.3205

G. Last and M. D. Penrose, Lectures on the poisson process, 2016.

A. Mandelbaum, A. Sakov, and S. Zeltyn, Empirical analysis of a call center. URL http://iew3.technion.ac.il/serveng/References/ccdata.pdf, 2000.

A. Mas, Lower bound in regression for functional data by representation of small ball probabilities, Electronic Journal of Statistics, vol.6, issue.0, pp.1745-1778, 2012.
DOI : 10.1214/12-EJS726

J. Mecke, Stationäre zufällige maße auf lokalkompakten abelschen gruppen . Probability Theory and Related Fields, pp.36-58, 1967.
DOI : 10.1007/bf00535466

R. C. Merton, Option pricing when underlying stock returns are discontinuous, Journal of Financial Economics, vol.3, issue.1-2, pp.125-144, 1976.
DOI : 10.1016/0304-405X(76)90022-2

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.5207

D. Nualart and J. Vives, Anticipative calculus for the poisson process based on the fock space, pp.154-165, 1990.
DOI : 10.1007/BFb0077629

Y. Ogata, Statistical models for earthquakes occurences and residual analysis for point processes, Journal of the Royal Statistical Society, vol.44, pp.102-107, 1988.

F. O. Sullivan, Nonparametric estimation in the cox model. The Annals of Statistics, pp.124-145, 1993.

J. O. Ramsay, Functional data analysis, p.27, 2006.

C. R. Rao and I. Chakravarti, Some Small Sample Tests of Significance for a Poisson Distribution, Biometrics, vol.12, issue.3, pp.264-282, 1956.
DOI : 10.2307/3001466

D. Revuz and M. Yor, Continuous martingales and Brownian motion, pp.52-65, 2013.

P. Reynaud-bouret, V. Rivoirard, F. Grammont, and C. Tuleau-malot, Goodness-of-Fit Tests and Nonparametric Adaptive Estimation for Spike Train Analysis, The Journal of Mathematical Neuroscience, vol.4, issue.1, pp.22-47, 2014.
DOI : 10.1109/TIT.1981.1056305

URL : https://hal.archives-ouvertes.fr/hal-00789127

J. D. Scargle, Studies in Astronomical Time Series Analysis. V. Bayesian Blocks, a New Method to Analyze Structure in Photon Counting Data, The Astrophysical Journal, vol.504, issue.1, p.405, 1998.
DOI : 10.1086/306064

H. Schmidli, Lundberg inequalities for a Cox model with a piecewise constant intensity, Journal of Applied Probability, vol.73, issue.01, pp.196-210, 1996.
DOI : 10.1017/S0021900200103857

G. R. Shorack and J. A. Wellner, Empirical processes with applications to statistics, SIAM, vol.75, issue.76, p.74, 2009.
DOI : 10.1137/1.9780898719017

D. L. Snyder and M. I. Miller, Random point processes in time and space, 2012.
DOI : 10.1007/978-1-4612-3166-0

A. B. Tsybakov, Introduction to nonparametric estimation. revised and extended from the 2004 french original. translated by vladimir zaiats, pp.27-96, 2009.

. Watanabe, On discontinuous additive functionals and lévy measures of a markov process In Japanese journal of mathematics: transactions and abstracts, pp.53-70, 1964.

T. Zhang and S. C. Kou, Nonparametric inference of doubly stochastic poisson process data via the kernel method. The annals of applied statistics, p.36, 1913.