Y. Aït-sahalia, Testing Continuous-Time Models of the Spot Interest Rate, Review of Financial Studies, vol.9, pp.385-426, 1996.

Y. Aït-sahalia, L. P. Hansen, and J. Scheinkman, Operator Methods for Continuous-Time Markov Processes, pp.1-66, 2010.

T. G. Andersen, T. Bollerslev, F. X. Diebold, and P. Labys, The Distribution of Exchange Rate Volatility, Journal of the American Statistical Association, vol.96, pp.42-55, 2001.

T. G. Andersen, T. Bollerslev, F. X. Diebold, and P. Labys, Modeling and Forecasting Realized Volatility, Econometrica, vol.71, pp.579-625, 2003.

D. W. Andrews, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation, Econometrica, vol.60, pp.953-966, 1991.

J. Bai, Testing Parametric Conditional Distributions of Dynamic Models, Review of Economics and Statistics, vol.85, pp.531-549, 2003.

J. Bai and S. Ng, Tests for Skewness, Kurtosis, and Normality for Time Series Data, Journal of Business, Economics and Statistics, vol.23, pp.49-60, 2005.

O. E. Barndorff-nielsen and N. Shephard, Non-Gaussian OU based Models and some of their uses in Financial Economics," with discussion, Journal of the Royal Statistical Society, B, vol.63, pp.167-241, 2001.

A. Bera, Y. Bilias, ;. Me, . Ml, and G. El, Approaches to Estimation: A Synthesis, The MM, vol.107, pp.51-86, 2002.

M. V. Boldin, Estimation of the distribution of noise in an autoregressive scheme, Theory Probab. Appl, vol.27, pp.866-871, 1982.

T. Bollerslev, Generalized Autoregressive Conditional Heteroskedasticity, Journal of Econometrics, vol.31, pp.307-327, 1986.

T. Bollerslev, A Conditional Heteroskedastic Time Series Model For Speculative Prices and Rates of Returns, Review of Economics and Statistics, vol.69, pp.542-547, 1987.

T. Bollerslev, R. Engle, D. B. Nelson-;-r, D. L. Engle, and . Mcfadden, ARCH Models, Handbook of Econometrics, vol.IV, pp.2959-3038, 1994.

T. Bollerslev and J. F. Wooldridge, Quasi Maximum Likelihood Estimation and Inference in Dynamic Models with Time Varying Covariances, Econometric Reviews, vol.11, pp.143-172, 1992.

C. Bontemps, Moment Based Tests for Discrete Distributions, 2009.

C. Bontemps, B. Feunou, and N. Meddahi, Moment Based Tests of Multivariate Distributions, 2011.

C. Bontemps and N. Meddahi, Testing Normality: A GMM Approach, Journal of Econometrics, vol.124, pp.149-186, 2005.
URL : https://hal.archives-ouvertes.fr/hal-02875105

C. Bontemps and N. Meddahi, Optimal Moment Based Tests of Distributional Assumptions, 2011.

X. Chen, L. P. Hansen, and J. Scheinkman, Nonlinear Principal Components and Long-Run Implications of Multivariate Diffusions, Annals of Statistics, vol.37, pp.4279-4312, 2009.

A. Chesher, G. Dhaene, C. Gouriéroux, and O. Scaillet, , 1999.

A. Chesher and R. J. Smith, Likelihood Ratio Specification Tests, Econometrica, vol.65, pp.627-646, 1997.

T. S. Chihara, An Introduction to Orthogonal Polynomials, 1978.

P. F. Christoffersen, Evaluating Interval Forecasts, International Economic Review, vol.39, pp.841-862, 1998.

L. Cobb, P. Koppstein, and N. H. Chen, Estimation and Moment Recursions for Multimodal Distributions of the Exponential Family, Journal of the American Statistical Association, vol.78, pp.124-130, 1983.

T. Conley, L. P. Hansen, E. Luttmer, and J. Scheinkman, Short-Term Interest Rates as Subordinated Diffusions, Review of Financial Studies, vol.10, pp.525-577, 1997.

V. Corradi and N. R. Swanson, Bootstrap Specification Test for Diffusion Processes, Journal of Econometrics, vol.124, pp.117-148, 2005.

J. C. Cox, J. Ingersoll, and S. Ross, A Theory of the Term Structure of Interest Rates, Econometrica, vol.53, pp.385-408, 1984.

F. X. Diebold, T. A. Gunther, and A. S. Tay, Evaluating Density Forecasts, with Applications to Financial Risk Management, International Economic Review, vol.39, pp.863-883, 1998.

F. X. Diebold, J. Hahn, and A. S. Tay, Multivariate Density Forecast Evaluation and Calibration in Financial Risk Management: High-Frequency Returns on Foreign Echange, Review of Economics and Statistics, vol.81, pp.661-673, 1999.

F. X. Diebold, A. S. Tay, and K. F. Wallis, Evaluating Density Forecasts of Inflation: The Survey of Professional Forecasters," in Cointegration, Causality, and Forecasting: A Festschrift in Honour of, pp.76-90, 1999.

J. C. Duan, A Specification Test for Time Series Models by a Normality Transformation, 2003.

J. Durbin, Weak Convergence of Sample Distribution Functions When Parameters Are Estimated, Annals of Statistics, vol.1, pp.279-290, 1973.

G. Fiorentini, E. Sentana, and G. Calzolari, On the Validity of the Jarque-Bera Normality Test in Conditionally Heteroskedastic Dynamic Regression Models, Economics Letters, vol.83, p.307312, 2004.

L. Forsberg and T. Bollerslev, Bridging the gap between the distribution of realized (ECU) volatility and ARCH modelling (of the EURO): the GARCH-NIG model, Journal of Econometrics, vol.17, pp.535-548, 2002.

A. R. Gallant, Explicit Estimators of Parametric Functions in Nonlinear Regressions, Journal of the American Statistical Association, vol.75, pp.182-193, 1980.

C. Gourieroux and J. Jasiak, Multivariate Jacobi Process with Application to Smooth Transitions, Journal of Econometrics, vol.131, pp.475-505, 2006.

L. P. Hansen, Large Sample Properties of Generalized Method of Moments Estimators, Econometrica, vol.50, pp.1029-1054, 1982.

L. P. Hansen, Generalized Method of Moments Estimation: A Time Series Perspective, International Encyclopedia of Social and Behavioral Sciences, 2001.

L. P. Hansen and J. Scheinkman, Back to the Future: Generating Moment Implications for Continuous Time Markov Processes, Econometrica, vol.63, pp.767-804, 1995.

A. C. Harvey, E. Ruiz, and N. Shephard, Multivariate Stochastic Variance Models, Review of Economic Studies, vol.61, pp.247-264, 1994.

X. Huang and G. Tauchen, The Relative Contribution of Jumps to Total Price Variance, Journal of Financial Econometrics, vol.3, pp.456-499, 2005.

C. M. Jarque and A. K. Bera, Efficient Tests for Normality, Homoscedasticity and serial Independence of Regression Residuals, Economics Letters, vol.6, pp.255-259, 1980.

N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions, vol.1, 1994.

L. K. Kalliovirta, Misspecification Tests Based on Quantile Residuals, 2006.

S. Karlin and H. M. Taylor, A Second Course in Stochastic Processes, 1981.

E. V. Khmaladze, Martingale Approach in the Theory of Goodness-of-Tests, Theory of Probability and its Application, vol.26, pp.240-257, 1981.

E. V. Khmaladze and H. L. Koul, Martingale transforms goodness-of-fit tests in regression models, Annals of Statistics, vol.32, pp.995-1034, 1984.

S. Kim, N. Shephard, and S. Chib, Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models, Review of Economic Studies, vol.65, pp.361-393, 1998.

B. Lejeune, A Diagnostic M-Test for Distributional Specification of Parametric conditional Heteroscedasticity Models for Financial Data, 2002.

H. W. Lilliefors, On the Kolmogorov-Smirnov Test for Normality with Mean and Variance, Journal of the American Statistical Association, vol.62, pp.399-402, 1967.

I. N. Lobato and C. Velasco, A Simple Test Of Normality For Time Series, Econometric Theory, vol.20, pp.671-689, 2004.

J. R. Michael, W. R. Schucany, and R. W. Haas, Generating Random Variates Using Transformations with Multiple Roots, The American Stastistician, vol.30, pp.88-90, 1976.

W. K. Newey, Generalized Method of Moments Specification Testing, Journal of Econometrics, vol.29, pp.229-256, 1985.

W. K. Newey, Maximum Likelihood Specification Testing and Conditional Moment Tests, Econometrica, vol.53, pp.1047-1070, 1985.

W. K. Newey, D. F. Mcfadden-;-r, D. L. Engle, and . Mcfadden, Large Sample Estimation and Hypothesis Testing, Handbook of Econometrics, vol.IV, pp.2111-2245, 1994.

W. K. Newey and K. D. West, A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix, Econometrica, vol.55, pp.703-708, 1987.

C. D. Orme, The Small Sample Performance of the Information Matrix Test, Journal of Econometrics, vol.46, pp.309-331, 1990.

M. Richardson and T. Smith, A test for Multivariate Normality in Stock Returns, Journal of Business, vol.66, pp.295-321, 1993.

W. Schoutens, Stochastic Processes and Orthogonal Polynomials, vol.146, 2000.

C. Stein, A Bound for the Error in the Normal Approximation to the Distribution of a Sum of Dependant Random Variables, Proc. Sixth Berkeley Symp. Math. Statist. Probab, vol.2, pp.583-602, 1972.

G. E. Tauchen, Diagnostic Testing and Evaluation of Maximum Likelihood Models, Journal of Econometrics, vol.30, pp.415-443, 1985.

H. White, Maximum Likelihood Estimation of Misspecified Models, Econometrica, vol.50, pp.1-25, 1982.

E. Wong, The Construction of a Class of Stationary Markoff Processes, Sixteenth Symposium in Applied Mathematics, Stochastic Processes in Mathematical Physics and Engineering, pp.264-276, 1964.

J. Wooldridge, A Unified Approach to Robust, Regression-based Specification Tests, Econometric Theory, vol.6, pp.17-43, 1990.