C. Andrieu and G. Roberts, The pseudo-marginal approach for efficient Monte Carlo computations . The Annals of Statistics, pp.697-725, 2009.

C. Andrieu, A. Doucet, and R. Holenstein, Particle Markov chain Monte Carlo methods, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.50, issue.3, pp.269-342, 2010.
DOI : 10.1214/06-BA127

URL : http://onlinelibrary.wiley.com/doi/10.1111/j.1467-9868.2009.00736.x/pdf

M. Beaumont, Estimation of population growth or decline in genetically monitored populations, Genetics, vol.164, issue.3, pp.1139-1160, 2003.

O. Cappé, E. Moulines, and T. Rydén, Inference in hidden Markov models, 2005.

O. Cappe and E. Moulines, An Overview of Existing Methods and Recent Advances in Sequential Monte Carlo, Proceedings of the IEEE, pp.899-924, 2007.
DOI : 10.1109/JPROC.2007.893250

B. Delyon, M. Lavielle, and E. Moulines, Convergence of a stochastic approximation version of the EM algorithm, Annals of Statistics, pp.94-128, 1999.

A. P. Dempster, N. Laird, and D. B. Rubin, Maximum likelihood from incomplete data via the EM algorithm, Journal of the Royal Statistical Society, Series B, vol.39, issue.1, pp.1-38, 1977.

S. Ditlevsen and A. Samson, Estimation in the partially observed stochastic Morris???Lecar neuronal model with particle filter and stochastic approximation methods, The Annals of Applied Statistics, vol.8, issue.2, pp.674-702, 2014.
DOI : 10.1214/14-AOAS729

URL : https://hal.archives-ouvertes.fr/hal-00712331

S. Donnet and A. Samson, Parametric inference for mixed models defined by stochastic differential equations, ESAIM: Probability and Statistics, vol.80, pp.196-218, 2008.
DOI : 10.1093/biomet/80.4.791

URL : https://hal.archives-ouvertes.fr/hal-00263515

A. Doucet, N. De-freitas, and N. Gordon, Sequential Monte Carlo methods in practice, 2001.
DOI : 10.1007/978-1-4757-3437-9

M. Fasiolo, N. Pya, and S. Wood, A Comparison of Inferential Methods for Highly Nonlinear State Space Models in Ecology and Epidemiology, Statistical Science, vol.31, issue.1, pp.96-118, 2016.
DOI : 10.1214/15-STS534SUPP

A. Golightly and D. Wilkinson, Bayesian parameter inference for stochastic biochemical network models using particle Markov chain Monte Carlo, Interface Focus, vol.149, issue.3, pp.807-820, 2011.
DOI : 10.1007/s11222-007-9045-8

URL : http://rsfs.royalsocietypublishing.org/content/royfocus/1/6/807.full.pdf

N. Gordon, D. Salmond, and A. Smith, Novel approach to nonlinear/non-Gaussian Bayesian state estimation, IEE Proceedings F-Radar and Signal Processing, pp.107-113, 1993.
DOI : 10.1049/ip-f-2.1993.0015

E. Herbst and F. Schorfheide, Tempered particle filtering, National Bureau of Economic Research, 2017.
DOI : 10.17016/feds.2016.072

Q. Huys, M. B. Ahrens, and L. Paninski, Efficient Estimation of Detailed Single-Neuron Models, Journal of Neurophysiology, vol.96, issue.2, pp.872-890, 2006.
DOI : 10.1152/jn.00079.2006

URL : http://jn.physiology.org/content/jn/96/2/872.full.pdf

J. M. Quentin, L. Huys, and . Paninski, Smoothing of, and Parameter Estimation from, Noisy Biophysical Recordings. PLOS Computational Biology, vol.5, issue.5, p.1000379, 2009.

E. Ionides, D. Nguyen, Y. Atchadé, S. Stoev, and A. King, Inference for dynamic and latent variable models via iterated, perturbed Bayes maps, Proceedings of the National Academy of Sciences, pp.719-724, 2015.
DOI : 10.1109/JPROC.2007.893250

URL : http://www.pnas.org/content/112/3/719.full.pdf

A. Jasra, S. Singh, J. Martin, and E. Mccoy, Filtering via approximate Bayesian computation, Statistics and Computing, vol.58, issue.6, pp.1223-1237, 2012.
DOI : 10.1093/oxfordjournals.molbev.a026091

N. Kantas, A. Doucet, S. Singh, J. Maciejowski, and N. Chopin, On Particle Methods for Parameter Estimation in State-Space Models, Statistical Science, vol.30, issue.3, pp.328-351, 2015.
DOI : 10.1214/14-STS511

A. King, D. Nguyen, and E. Ionides, Statistical inference for partially observed Markov processes via the R package pomp, Journal of Statistical Software, issue.12, pp.69-2015
DOI : 10.18637/jss.v069.i12

URL : https://doi.org/10.18637/jss.v069.i12

G. Kitagawa, Monte Carlo filter and smoother for non-Gaussian nonlinear state space models, Journal of Computational and Graphical statistics, vol.5, issue.1, pp.1-25, 1996.
DOI : 10.2307/1390750

E. Kuhn and M. Lavielle, Maximum likelihood estimation in nonlinear mixed effects models, Computational Statistics & Data Analysis, vol.49, issue.4, pp.1020-1038, 2005.
DOI : 10.1016/j.csda.2004.07.002

M. Lavielle, Mixed effects models for the population approach: models, tasks, methods and tools, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01122873

F. Lindsten, An efficient stochastic approximation EM algorithm using conditional particle filters, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing
DOI : 10.1109/ICASSP.2013.6638872

URL : http://users.isy.liu.se/en/rt/schon/Publications/LindstenSJ2013.pdf

J. Liu, Monte Carlo strategies in scientific computing, 2008.
DOI : 10.1007/978-0-387-76371-2

T. Louis, Finding the observed information matrix when using the EM algorithm, Journal of the Royal Statistical Society. Series B, pp.226-233, 1982.

J. M. Marin, P. Pudlo, C. P. Robert, and R. Ryder, Approximate Bayesian computational methods, Statistics and Computing, vol.6, issue.31, pp.1167-1180, 2012.
DOI : 10.1098/rsif.2008.0172

URL : https://hal.archives-ouvertes.fr/hal-00567240

G. Martin, . Mccabe, . Frazier, C. Maneesoonthorn, and . Robert, Auxiliary likelihood-based approximate Bayesian computation in state space models, 2016.

O. Papaspiliopoulos, M. Roberts, and . Sköld, A General Framework for the Parametrization of Hierarchical Models, Statistical Science, vol.22, issue.1, pp.59-73, 2007.
DOI : 10.1214/088342307000000014

U. Picchini, Inference for SDE Models via Approximate Bayesian Computation, Journal of Computational and Graphical Statistics, vol.58, issue.4, pp.1080-1100, 2014.
DOI : 10.1098/rsif.2008.0172

URL : http://arxiv.org/pdf/1204.5459.pdf

U. Picchini and J. Forman, Accelerating inference for diffusions observed with measurement error and large sample sizes using approximate Bayesian computation, Journal of Statistical Computation and Simulation, vol.140, issue.2, pp.195-213, 2015.
DOI : 10.1002/jae.3950050202

URL : http://arxiv.org/pdf/1310.0973

J. Pinheiro and D. Bates, Approximations to the log-likelihood function in the nonlinear mixedeffects model, Journal of Computational and Graphical Statistics, vol.4, issue.1, pp.12-35, 1995.

C. Sherlock, A. Thiery, G. Roberts, and J. Rosenthal, On the efficiency of pseudo-marginal random walk Metropolis algorithms. The Annals of Statistics, pp.238-275, 2015.

A. Sitz, . Schwarz, H. Kurths, and . Voss, Estimation of parameters and unobserved components for nonlinear systems from noisy time series, Physical Review E, vol.147, issue.1, p.16210, 2002.
DOI : 10.1016/S0167-2789(00)00166-4

D. Wilkinson, smfsb: Stochastic modelling for systems biology, 2015.