A method for testing an extended poisson hypothesis of spontaneous quantal transmitter release at neuromuscular junctions, Biophysical Journal, vol.46, issue.3, pp.323-330, 1984. ,
DOI : 10.1016/S0006-3495(84)84028-X
The Time-Rescaling Theorem and Its Application to Neural Spike Train Data Analysis, Neural Computation, vol.18, issue.2, pp.325-346, 2002. ,
DOI : 10.1038/17605
On goodness of fit tests for models of neuronal spike trains considered as counting processes, Tech. rep, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00416793
An introduction to the theory of point processes, Probability and its Applications ,
Non-parametric significance estimation of joint-spike events by shuffling and resampling, Neurocomputing, vol.52, issue.54, pp.52-5431, 2003. ,
DOI : 10.1016/S0925-2312(02)00823-8
Significance of joint-spike events based on trial-shuffling by efficient combinatorial methods, Complexity, vol.52, issue.54, pp.1-8, 2003. ,
DOI : 10.1002/cplx.10085
Automatic spike train analysis and report generation. An implementation with R, R2HTML and STAR, Journal of Neuroscience Methods, vol.181, issue.1, pp.119-144, 2009. ,
DOI : 10.1016/j.jneumeth.2009.01.037
URL : https://hal.archives-ouvertes.fr/hal-00725386
Statistical analysis of temporal evolution in single-neuron firing rates, Biostatistics, vol.3, issue.1, pp.1-20, 2002. ,
DOI : 10.1093/biostatistics/3.1.1
Neuronal population coding of movement direction, Science, vol.233, issue.4771, pp.1416-1419, 1986. ,
DOI : 10.1126/science.3749885
THE MIRROR-NEURON SYSTEM, Annual Review of Neuroscience, vol.27, issue.1, pp.169-192, 2004. ,
DOI : 10.1146/annurev.neuro.27.070203.144230
Analysis of Parallel Spike Trains, Series in Computational Neuroscience 2010 chap. Estimating the Firing Rate ,
Unitary joint-events in multiple-neuron spiking activity: Detection, significance and interpretation, 1996. ,
Analysis of Parallel Spike Trains, Series in Computational Neuroscience 2010 chap ,
DOI : 10.1007/978-1-4419-5675-0
Dynamical changes and temporal precision of synchronised spiking activity in monkey motor cortex during movement preparation, Journal of Physiology, vol.94, pp.569-582, 2000. ,
Correlation-Based Analysis and Generation of Multiple Spike Trains Using Hawkes Models with an Exogenous Input, Frontiers in Computational Neuroscience, vol.4, pp.4-147, 2010. ,
DOI : 10.3389/fncom.2010.00147
How Structure Determines Correlations in Neuronal Networks, PLoS Computational Biology, vol.52, issue.5, p.31916, 2012. ,
DOI : 10.1371/journal.pcbi.1002059.s001
Recurrent interactions in spiking networks with arbitrary topology. Physical review E, Statistical, nonlinear, and soft matter physics, p.1002059, 2011. ,
Maximum likelihood identification of neural point process systems, Biological Cybernetics, vol.80, issue.4-5, pp.265-275, 1988. ,
DOI : 10.1080/01621459.1985.10477119
Spatio-temporal correlations and visual signalling in a complete neuronal population, Nature, vol.22, issue.7207, pp.995-999, 2008. ,
DOI : 10.1038/nature07140
Analyzing Functional Connectivity Using a Network Likelihood Model of Ensemble Neural Spiking Activity, Neural Computation, vol.18, issue.9, pp.1927-1961, 2005. ,
DOI : 10.1126/science.8036517
Multiple Tests based on a Gaussian Approximation of the Unitary Events method, Tech. rep ,
URL : https://hal.archives-ouvertes.fr/hal-00757323
Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes, Journal of the American Statistical Association, vol.28, issue.7, pp.9-27, 1988. ,
DOI : 10.1007/BF02481022
Introduction to theoretical neurobiology Nonlinear and stochastic theories, Cambridge Studies in Mathematical Biology, vol.2, 1988. ,
Time intervals between accidents -a note on Maguire, Pearson and Wynn's paper, Biometrika, vol.40, issue.12, pp.212-213, 1953. ,
Statistical Models and Methods for Lifetime Data, 1982. ,
DOI : 10.1002/9781118033005
EDF Statistics for Goodness of Fit and Some Comparisons, Journal of the American Statistical Association, vol.10, issue.1, pp.730-737, 1974. ,
DOI : 10.1111/j.1467-9574.1967.tb00548.x
Mathematical statistics Holden-Day Inc. 1976. [Basic ideas and selected topics, -Day Series in Probability and Statistics] ,
Keiding N: Statistical models based on counting processes, 1993. ,
Kernel bandwidth optimization in spike rate estimation, Journal of Computational Neuroscience, vol.26, issue.4, pp.171-182, 2010. ,
DOI : 10.1007/s10827-009-0180-4
Point processes and queues, Martingale dynamics, 1981. ,
DOI : 10.1007/978-1-4684-9477-8
Integrability of expected increments of point processes and a related random change of scale, Transactions of the American Mathematical Society, vol.165, pp.483-506, 1972. ,
DOI : 10.1090/S0002-9947-1972-0314102-9
Empirical processes with applications to statistics, Probability and Mathematical Statistics: Probability and Mathematical Statistics, 1986. ,
DOI : 10.1137/1.9780898719017
Probability and statistical inference, 1977. ,
Simultaneously Recorded Trains of Action Potentials: Analysis and Functional Interpretation, Science, vol.164, issue.3881, pp.828-830, 1969. ,
DOI : 10.1126/science.164.3881.828
Introduction to nonparametric estimation Springer Series in Statistics, Revised and extended from the 2004 French original, 2009. ,
Empirical choice of histograms and kernel density estimators. Scand, J. Statist, vol.1982, issue.92, pp.65-78 ,
Density estimation for statistics and data analysis, Monographs on Statistics and Applied Probability, 1986. ,
DOI : 10.1007/978-1-4899-3324-9
Bandwidth selection in kernel density estimation: Oracle inequalities and adaptive minimax optimality, The Annals of Statistics, vol.39, issue.3, pp.1608-1632, 2011. ,
DOI : 10.1214/11-AOS883
URL : https://hal.archives-ouvertes.fr/hal-01265258
Adaptive estimation of the intensity of inhomogeneous Poisson processes via concentration inequalities. Probab. Theory Related Fields, pp.103-153, 2003. ,
An EM algorithm for estimation in Markov-modulated Poisson processes, Computational Statistics & Data Analysis, vol.21, issue.4, pp.431-447, 1996. ,
DOI : 10.1016/0167-9473(95)00025-9
Near optimal thresholding estimation of a Poisson intensity on the real line, Electronic Journal of Statistics, vol.4, issue.0, pp.172-238, 2010. ,
DOI : 10.1214/08-EJS319
URL : https://hal.archives-ouvertes.fr/hal-00634406
Adaptive density estimation: A curse of support?, Journal of Statistical Planning and Inference, vol.141, issue.1, pp.115-139, 2011. ,
DOI : 10.1016/j.jspi.2010.05.017
URL : https://hal.archives-ouvertes.fr/hal-00634421
Multiscale Poisson Intensity and Density Estimation, IEEE Transactions on Information Theory, vol.53, issue.9, pp.3171-3187, 2007. ,
DOI : 10.1109/TIT.2007.903139
Neuronal Spike Trains and Stochastic Point Processes, Biophysical Journal, vol.7, issue.4, pp.419-440, 1967. ,
DOI : 10.1016/S0006-3495(67)86597-4
Point spectra of some mutually exciting point processes, J. Roy. Statist. Soc. Ser. B, vol.33, pp.438-443, 1971. ,
FADO: A Statistical Method to Detect Favored or Avoided Distances between Occurrences of Motifs using the Hawkes' Model, Statistical Applications in Genetics and Molecular Biology, vol.4, issue.1, p.pp. (electronic), 2005. ,
DOI : 10.2202/1544-6115.1119
Multivariate Hawkes process models of the occurrence of regulatory elements, BMC Bioinformatics, vol.11, issue.1, 2010. ,
DOI : 10.1186/1471-2105-11-456
The Identification of Point Process Systems, The Annals of Probability, vol.3, issue.6, pp.909-924, 1975. ,
DOI : 10.1214/aop/1176996218
Identification of synaptic interactions, Biological Cybernetics, vol.12, issue.4, pp.213-228, 1976. ,
DOI : 10.1007/BF00365087
Stability of nonlinear Hawkes processes, pp.1563-1588, 1996. ,
Some non asymptotic tail estimates for Hawkes processes ,
Some examples of statistical estimation applied to earthquake data, Ann. Inst. Statist. Math, issue.B, pp.34189-207, 1982. ,
Adaptive estimation for Hawkes processes; application to genome analysis, The Annals of Statistics, vol.38, issue.5, pp.2781-2822, 2010. ,
DOI : 10.1214/10-AOS806
URL : https://hal.archives-ouvertes.fr/hal-00863958
Modelling reciprocating relationships with Hawkes processes, Proceedings of NIPS 2012 ,
Lasso and probabilistic inequalities for multivariate point processes, Bernoulli, vol.21, issue.1 ,
DOI : 10.3150/13-BEJ562
URL : https://hal.archives-ouvertes.fr/hal-00722668
Inference of functional connectivity in Neurosciences via Hawkes processes, 2013 IEEE Global Conference on Signal and Information Processing ,
DOI : 10.1109/GlobalSIP.2013.6736879
URL : https://hal.archives-ouvertes.fr/hal-00866823
Dynamics of neuronal firing correlation: modulation of " effective connectivity, Journal of Neurophysiology, issue.5, pp.61900-917, 1989. ,
Regression shrinkage and selection via the lasso, J. Roy. Statist. Soc. Ser. B, p.58, 1996. ,
Spike synchronization and firing rate in a population of motor cortical neurons in relation to movement direction and reaction time, Biological Cybernetics, vol.88, issue.5, pp.360-373, 2003. ,
DOI : 10.1007/s00422-002-0385-3
Cancellation of a planned movement in monkey motor cortex, NeuroReport, vol.17, issue.3, pp.281-285, 2006. ,
DOI : 10.1097/01.wnr.0000201510.91867.a0
On Lewis' simulation method for point processes, IEEE Transactions on Information Theory, vol.27, issue.1, pp.23-31, 1981. ,
DOI : 10.1109/TIT.1981.1056305
Controlling the false discovery rate: a practical and powerful approach to multiple testing, J. Roy. Statist. Soc. Ser. B, vol.57, pp.289-300, 1995. ,
Nonparametric Estimation of the Division Rate of a Size-Structured Population, SIAM Journal on Numerical Analysis, vol.50, issue.2, pp.925-950 ,
DOI : 10.1137/110828344
URL : https://hal.archives-ouvertes.fr/hal-00578694
Nonparametric Estimation of the Division Rate of a Size-Structured Population, SIAM Journal on Numerical Analysis, vol.50, issue.2 ,
DOI : 10.1137/110828344
URL : https://hal.archives-ouvertes.fr/hal-00578694