Basic properties of strong mixing conditions. A survey and some open questions, Probability Surveys, pp.107-144, 2005. ,
The Estimation of the Order of a Mixture Model, Bernoulli, vol.3, issue.3, pp.279-299, 1997. ,
DOI : 10.2307/3318593
Testing in locally conic models, and application to mixture models, ESAIM: Probability and Statistics, vol.1, pp.285-317, 1997. ,
DOI : 10.1051/ps:1997111
Testing the order of a model using locally conic parametrization: population mixtures and stationary ARMA processes, The Annals of Statistics, vol.27, issue.4, pp.1178-1209, 1999. ,
DOI : 10.1214/aos/1017938921
Asymptotic properties of the maximum likelihood estimator in autoregressive models with Markov regime, The Annals of Statistics, pp.2254-2304, 2004. ,
Mixing: properties and examples, 1995. ,
Invariance principles for absolutely regular empirical processes, Inst. Henri Poincaré (B) Probabilités et Statistiques, pp.31-393, 1995. ,
Long swings in the dollar: are they in the data and do markets know it?, American Economic Review, vol.80, issue.4, pp.689-713, 1990. ,
Ergodicity of Autoregressive Processes with Markov-Switching and Consistency of the Maximum-Likelihood Estimator, Statistics, vol.32, issue.2, pp.151-173, 1998. ,
DOI : 10.1214/aoms/1177729952
Likelihood ratio of unidentifiable models and multilayer neural networks, The Annals of Statistics, vol.31, issue.3, pp.833-851, 2003. ,
DOI : 10.1214/aos/1056562464
Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models, International Economic Review, vol.39, issue.3, pp.763-788, 1998. ,
DOI : 10.2307/2527399
The likelihood ratio test for the number of components in a mixture with Markov regime, ESAIM: Probability and Statistics, vol.4, pp.25-52, 2000. ,
DOI : 10.1051/ps:2000102
Likelihood ratio inequalities with applications to various mixtures, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.38, issue.6, pp.897-906, 2002. ,
DOI : 10.1016/S0246-0203(02)01125-1
A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle, Econometrica, vol.57, issue.2, pp.357-384, 1989. ,
DOI : 10.2307/1912559
Analysis of time series subject to changes in regime, Journal of Econometrics, vol.45, issue.1-2, pp.307-333, 1990. ,
DOI : 10.1016/0304-4076(90)90093-9
The likelihood ratio test under nonstandard conditions: Testing the markov switching model of gnp, Journal of Applied Econometrics, vol.5, issue.S1, pp.61-82, 1992. ,
DOI : 10.1002/jae.3950070506
Erratum: The likelihood ratio test under nonstandard conditions: Testing the Markov switching model of GNP, Journal of Applied Econometrics, vol.7, issue.2, pp.195-198, 1996. ,
DOI : 10.1002/(SICI)1099-1255(199603)11:2<195::AID-JAE375>3.0.CO;2-2
Inference When a Nuisance Parameter Is Not Identified Under the Null Hypothesis, Econometrica, vol.64, issue.2, pp.413-430, 1996. ,
DOI : 10.2307/2171789
On estimating of the number of constituents of a finite mixture of continuous distributions, Annals of the Institute of Statistical Mathematics, vol.34, issue.1, pp.235-240, 1985. ,
DOI : 10.1007/BF02481094
Philatelic Mixtures and Multimodal Densities, Journal of the American Statistical Association, vol.20, issue.404, pp.941-953, 1988. ,
DOI : 10.1080/01621459.1988.10478683
Consistent estimation of the order of mixture models, Sankhya: The Indian Journal of Statistics, vol.62, pp.49-66, 2000. ,
Consistent Estimation of Linear and Non-linear Autoregressive Models with Markov Regime, Journal of Time Series Analysis, vol.19, issue.3, pp.291-307, 1998. ,
DOI : 10.1111/1467-9892.00093
The Hamilton model with a general autoregressive component: estimation and comparison with other models of economic time series, Journal of Monetary Economics, vol.26, issue.3, pp.409-432, 1990. ,
DOI : 10.1016/0304-3932(90)90005-O
Maximum-Penalized-Likelihood Estimation for Independent and Markov- Dependent Mixture Models, Biometrics, vol.48, issue.2, pp.545-558, 1992. ,
DOI : 10.2307/2532308
Consistent estimation of a mixing distribution, The Annals of Statistics, pp.1350-1360, 1992. ,
Moment matrices: application in mixtures, The Annals of Statistics, pp.722-740, 1983. ,
Asymptotics for likelihood ratio tests under loss of identifiability, The Annals of Statistics, pp.31-807, 2003. ,
Penalized estimate of the number of states in Gaussian linear AR with Markov regime, Electronic Journal of Statistics, vol.2, issue.0, pp.1111-1128, 2008. ,
DOI : 10.1214/08-EJS272
A Graphical Technique for Determining the Number of Components in a Mixture of Normals, Journal of the American Statistical Association, vol.43, issue.426, pp.487-495, 1994. ,
DOI : 10.1002/gepi.1370070605
Estimating the Order of Hidden Markov Models, Statistics, vol.9, issue.4, pp.345-354, 1995. ,
DOI : 10.1080/02331889008802274
Business cycles, financial crises, and stock volatility, Carnegie-Rochester Conference Series on Public Policy, vol.31, issue.1, pp.83-125, 1989. ,
DOI : 10.1016/0167-2231(89)90006-7
Asymptotic Statistics, 2000. ,
DOI : 10.1017/CBO9780511802256
On a mixture autoregressive model, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.62, issue.1, pp.95-115, 2000. ,
DOI : 10.1111/1467-9868.00222
On stability of nonlinear AR processes with Markov switching, Advances in Applied Probability, vol.45, issue.02, pp.394-407, 2000. ,
DOI : 10.1080/15326349908807535