Y. A¨?ta¨?t-sahalia and R. Kimmel, Maximum likelihood estimation of stochastic volatility models, Journal of Financial Economics, vol.83, issue.2, pp.413-452, 2007.
DOI : 10.1016/j.jfineco.2005.10.006

A. Alfonsi, High order discretization schemes for the CIR process: Application to affine term structure and Heston models, Mathematics of Computation, vol.79, issue.269, pp.209-237, 2010.
DOI : 10.1090/S0025-5718-09-02252-2
URL : https://hal.archives-ouvertes.fr/hal-00143723

L. Anderson, Simple and efficient simulation of the Heston stochastic volatility model, The Journal of Computational Finance, vol.11, issue.3, 2008.
DOI : 10.21314/JCF.2008.189

R. Azencott and Y. Gadhyan, Accurate parameter estimation for coupled stochastic dynamics Dynamical systems, differential equations and applications, 7th AIMS Conference, pp.44-53, 2009.

M. Barczy and G. Pap, Asymptotic properties of maximum-likelihood estimators for Heston models based on continuous time observations, Statistics, vol.14, issue.2, pp.389-417, 2016.
DOI : 10.1214/009117905000000747

B. Alaya, M. Kebaier, and A. , Parameter Estimation for the Square-Root Diffusions: Ergodic and Nonergodic Cases, Stochastic Models, vol.28, issue.4, pp.4-2012
DOI : 10.1137/1116003
URL : https://hal.archives-ouvertes.fr/hal-00579644

B. Alaya, M. Kebaier, and A. , Asymptotic Behavior of The Maximum Likelihood Estimator For Ergodic and Nonergodic Square-Root Diffusions, Stochastic Analysis and Applications, 2013.

J. C. Cox, J. Ingersoll, J. E. , R. , and S. A. , A Theory of the Term Structure of Interest Rates, Econometrica, vol.53, issue.2, pp.385-407, 1985.
DOI : 10.2307/1911242

M. Du-roy-de-chaumaray, Large deviations for the squared radial Ornstein-Uhlenbeck process, Theory of Probability and its Applications, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01026307

W. Feller, Two singular diffusion problems, Ann. of Math, issue.2, pp.54-173, 1951.
DOI : 10.2307/1969318

M. Forde and A. Jacquier, The large-maturity smile for the Heston model, Finance and Stochastics, vol.20, issue.3, pp.755-780, 2011.
DOI : 10.1002/cpa.3160200404

M. Forde, A. Jacquier, L. , and R. , The Small-Time Smile and Term Structure of Implied Volatility under the Heston Model, SIAM Journal on Financial Mathematics, vol.3, issue.1, pp.690-708, 2012.
DOI : 10.1137/110830241

E. Fournié and D. Talay, Application de la statistique des diffusionsàdiffusionsà un modèle de taux d'intérêt, Finance, vol.12, 1991.

F. Gao and H. Jiang, Moderate deviations for squared radial Ornstein???Uhlenbeck process, Statistics & Probability Letters, vol.79, issue.11, pp.1378-1386, 2009.
DOI : 10.1016/j.spl.2009.02.011

J. Gatheral, The Volatility Surface: A Practitioner's Guide, 2006.
DOI : 10.1002/9781119202073

I. S. Gradshteyn, R. , and I. M. , Table of integrals, series, and products, 1980.

S. L. Heston, A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options, Review of Financial Studies, vol.6, issue.2, pp.327-343, 1993.
DOI : 10.1016/0304-405X(87)90009-2

A. Jacquier, R. , and P. , Large-maturity regimes of the Heston forward smile. Stochastic Process, Appl, vol.126, issue.4, pp.1087-1123, 2016.

A. Janek, T. Kluge, R. Weron, and U. Wystup, FX smile in the Heston model, Statistical tools for finance and insurance, pp.133-162, 2011.
DOI : 10.1007/978-3-642-18062-0_4

D. Lamberton and B. Lapeyre, Introduction au calcul stochastique appliquéappliquéà la finance, 1997.

R. Lee, Option pricing by transform methods: extensions, unification and error control, The Journal of Computational Finance, vol.7, issue.3, pp.51-86
DOI : 10.21314/JCF.2004.121
URL : https://www.einstitutional.com/geodesicweb/papers/Option_pricing_names.pdf

A. L. Lewis, Option valuation under stochastic volatility, 2000.

Y. L. Luke, The Special Functions and their Approximations, 1969.

L. Overbeck, Estimation for Continuous Branching Processes, Scandinavian Journal of Statistics, vol.25, issue.1, 1998.
DOI : 10.1111/1467-9469.00092

E. Stein and J. Stein, Stock Price Distributions with Stochastic Volatility: An Analytic Approach, Review of Financial Studies, vol.76, issue.4, pp.727-752, 1991.
DOI : 10.1016/0304-405X(87)90009-2

J. Stein, Overreactions in the Options Market, The Journal of Finance, vol.19, issue.4, pp.1011-1024, 1989.
DOI : 10.1016/0304-405X(87)90009-2

C. Wei and J. Winnicki, Estimation of the Means in the Branching Process with Immigration, The Annals of Statistics, vol.18, issue.4, 1990.
DOI : 10.1214/aos/1176347876

M. Zani, Large deviations for squared radial OrnsteinUhlenbeck processes, Stochastic Processes and their Applications, pp.25-42, 2002.
DOI : 10.1016/s0304-4149(02)00156-4
URL : https://doi.org/10.1016/s0304-4149(02)00156-4