On Mixing and Stability of Limit Theorems, The Annals of Probability, vol.6, issue.2, pp.325-331, 1978. ,
DOI : 10.1214/aop/1176995577
Statistical estimation for reflected skew processes, Statistical Inference for Stochastic Processes, vol.35, issue.1, pp.231-248, 2010. ,
DOI : 10.1007/s11203-010-9047-6
URL : https://hal.archives-ouvertes.fr/hal-00704352
Diffusion Models for Population Dynamics Incorporating Individual Behavior at Boundaries: Applications to Refuge Design, Theoretical Population Biology, vol.55, issue.2, pp.189-207, 1999. ,
DOI : 10.1006/tpbi.1998.1397
On estimating the diffusion coefficient from discrete observations, J. Appl. Probab, vol.304, pp.790-804, 1993. ,
Functional limit theorems for occupation times of Lamperti???s stochastic processes in discrete time, Journal of Mathematics of Kyoto University, vol.47, issue.2, pp.429-440, 2007. ,
DOI : 10.1215/kjm/1250281054
On Skew Brownian Motion, The Annals of Probability, vol.9, issue.2, pp.309-313, 1981. ,
DOI : 10.1214/aop/1176994472
Limit theorems for null recurrent Markov processes, Mem. Amer. Math. Soc, pp.161-768, 2003. ,
Statistical Estimation Asymptotic Theory, 1981. ,
Limit theorems for stochastic processes, 1987. ,
DOI : 10.1007/978-3-662-02514-7
Rates of convergence to the local time of a diffusion, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.34, issue.4, pp.505-544, 1998. ,
DOI : 10.1016/S0246-0203(98)80026-5
Parametric inference for discretely observed non-ergodic diffusions, Bernoulli, vol.12, issue.3, pp.383-401, 2006. ,
DOI : 10.3150/bj/1151525127
Parameter Estimation for Stochastic Processes, 1984. ,
An occupation time theorem for a class of stochastic processes, Transactions of the American Mathematical Society, vol.88, issue.2, pp.380-387, 1958. ,
DOI : 10.1090/S0002-9947-1958-0094863-X
Asymptotics in statistics, 2000. ,
One ??? dimensional stochastic differential equations involving the local times of the unknown process, Lecture Notes in Math, vol.52, issue.53, pp.51-82, 1983. ,
DOI : 10.1512/iumj.1975.24.24047
On the constructions of the skew Brownian motion, Probability Surveys, vol.3, issue.0, pp.413-466, 2006. ,
DOI : 10.1214/154957807000000013
URL : https://hal.archives-ouvertes.fr/inria-00000785
A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients, The Annals of Applied Probability, vol.16, issue.1, pp.107-139, 2006. ,
DOI : 10.1214/105051605000000656
URL : https://hal.archives-ouvertes.fr/inria-00000410
Simulating diffusion processes in discontinuous media: A numerical scheme with constant time steps, Journal of Computational Physics, vol.231, issue.21, pp.7299-7314, 2012. ,
DOI : 10.1016/j.jcp.2012.07.011
URL : https://hal.archives-ouvertes.fr/hal-00649170
Euler scheme for reflected stochastic differential equations, Mathematics and Computers in Simulation, vol.38, issue.1-3, pp.119-126, 1992. ,
DOI : 10.1016/0378-4754(93)E0074-F
Un schéma d'Euler pour équations différentielles stochastiques réfléchies, C. R. Acad. Sci. Paris Sér. I Math. 316, vol.6, pp.601-605, 1993. ,
Statistics of random processes. II. Applications, 2001. ,
Interprétations probabilistes d'opérateurs sous forme divergence et analyse de méthodes numériques associées, 2004. ,
Biased movement at a boundary and conditional occupancy times for diffusion processes, J. Appl. Probab, vol.403, pp.557-580, 2003. ,
A Generalized Taylor???Aris Formula and Skew Diffusion, Multiscale Modeling & Simulation, vol.5, issue.3, pp.786-801, 2006. ,
DOI : 10.1137/050642770
On stable sequences of events. Sankhy¯ a Ser, pp.293-302, 1963. ,
A diffusion with discontinuous local time, In: Temps locaux, pp.52-53, 1978. ,
Calculation of Diffusive Shock Acceleration of Charged Particles by Skew Brownian Motion, The Astrophysical Journal, vol.541, issue.1, pp.428-435, 2000. ,
DOI : 10.1086/309429
Universidad de Valparaíso; Casilla 123-V; Chile ,