J. Bai and S. Ng, Confidence Intervals for Diffusion Index Forecasts and Inference for Factor-Augmented Regressions, Econometrica, vol.74, issue.4, pp.1133-1150, 2006.
DOI : 10.1111/j.1468-0262.2006.00696.x
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.415.6817

J. Bai and S. Ng, Principal components estimation and identification of static factors, Journal of Econometrics, vol.176, issue.1, pp.18-29, 2013.
DOI : 10.1016/j.jeconom.2013.03.007

M. Bessec and O. Bouabdallah, Forecasting GDP over the Business Cycle in a Multi-Frequency and Data-Rich Environment, Oxford Bulletin of Economics and Statistics, vol.41, issue.3, pp.360-384, 2015.
DOI : 10.1257/jel.41.3.788
URL : https://hal.archives-ouvertes.fr/hal-01275760

S. Brave and R. A. Butters, Gathering Insights on the Forest from the Trees: A New Metric for Financial Conditions, SSRN Electronic Journal, 2010.
DOI : 10.2139/ssrn.1668786

G. W. Brier, VERIFICATION OF FORECASTS EXPRESSED IN TERMS OF PROBABILITY, Monthly Weather Review, vol.78, issue.1, pp.1-3, 1950.
DOI : 10.1175/1520-0493(1950)078<0001:VOFEIT>2.0.CO;2

M. Camacho, G. Perezquiros, and P. Poncela, Markov-Switching Dynamic Factor Models in Real Time, SSRN Electronic Journal, 1205.
DOI : 10.2139/ssrn.2002667
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.359.6902

M. Camacho, G. Perezquiros, and P. Poncela, Extracting Nonlinear Signals from Several Economic Indicators, Journal of Applied Econometrics, vol.96, issue.7, pp.1073-1089, 2015.
DOI : 10.1016/S0304-4076(99)00051-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.369.4330

G. Chamberlain, Funds, Factors, and Diversification in Arbitrage Pricing Models, Econometrica, vol.51, issue.5, pp.1305-1323, 1983.
DOI : 10.2307/1912276

G. Chamberlain and M. Rothschild, Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets, Econometrica, vol.51, issue.5, pp.1281-1304, 1983.
DOI : 10.2307/1912275
URL : https://dash.harvard.edu/bitstream/handle/1/3230355/Chamberlain_ArbitrageFactor.pdf?sequence=2

M. Chauvet, An Econometric Characterization of Business Cycle Dynamics with Factor Structure and Regime Switching, International Economic Review, vol.39, issue.4, pp.969-96, 1998.
DOI : 10.2307/2527348

M. Chauvet and Z. Senyuz, A Dynamic Factor Model of the Yield Curve as a Predictor of the Economy. Finance and Economics Discussion Series 2012-32, Board of Governors of the Federal Reserve System (U.S.); 2012

M. Chauvet and C. Yu, International business cycles: G7 and oecd countries, Economic Review, issue.1, pp.43-54, 2006.

G. Connor and R. A. Korajczyk, Performance measurement with the arbitrage pricing theory, Journal of Financial Economics, vol.15, issue.3, pp.373-394, 1986.
DOI : 10.1016/0304-405X(86)90027-9

O. Darné and L. Ferrara, Identification of Slowdowns and Accelerations for the Euro Area Economy*, Oxford Bulletin of Economics and Statistics, vol.53, issue.3, pp.335-364, 2011.
DOI : 10.1016/j.jmoneco.2005.03.015

T. A. Davig, Detecting recessions in the Great Moderation: a real-time analysis, Economic Review, pp.5-33, 2008.

F. X. Diebold and G. D. Rudebusch, Measuring Business Cycles: A Modern Perspective, The Review of Economics and Statistics, vol.78, issue.1, pp.67-77, 1996.
DOI : 10.2307/2109848
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.200.2423

M. Dolega, Tracking Canadian Trend Productivity: A Dynamic Factor Model with Markov Switching. Discussion Papers 07-12; Bank of Canada, 2007.

R. Douc, E. Moulines, J. Olsson, and R. Van-handel, Consistency of the maximum likelihood estimator for general hidden Markov models, The Annals of Statistics, vol.39, issue.1, pp.474-513, 2011.
DOI : 10.1214/10-AOS834
URL : https://hal.archives-ouvertes.fr/hal-00633451

R. Douc, E. Moulines, and T. Rydén, Asymptotic properties of the maximum likelihood estimator in autoregressive models with markov regime. The Annals of, Statistics, vol.32, issue.5, pp.2254-2304, 2004.

C. Doz, D. Giannone, and L. Reichlin, A two-step estimator for large approximate dynamic factor models based on Kalman filtering, Journal of Econometrics, vol.164, issue.1, pp.188-205, 2011.
DOI : 10.1016/j.jeconom.2011.02.012
URL : https://hal.archives-ouvertes.fr/hal-00638009

C. Doz, D. Giannone, and L. Reichlin, A Quasi???Maximum Likelihood Approach for Large, Approximate Dynamic Factor Models, Review of Economics and Statistics, vol.97, issue.4, pp.1014-1024, 2012.
DOI : 10.2307/1912526
URL : https://hal.archives-ouvertes.fr/hal-00638440

C. Francq and M. Roussignol, On White Noises Driven by Hidden Markov Chains, Journal of Time Series Analysis, vol.18, issue.6, pp.553-578, 1997.
DOI : 10.1111/1467-9892.00068

C. Francq and M. Roussignol, 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

J. Hamilton, A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle, Econometrica, vol.57, issue.2, pp.357-84, 1989.
DOI : 10.2307/1912559

J. D. Hamilton, A Quasi-Bayesian Approach to Estimating Parameters for Mixtures of Normal Distributions, Journal of Business & Economic Statistics, vol.9, issue.1, pp.27-39, 1991.

J. D. Hamilton, Specification testing in Markov-switching time-series models, Journal of Econometrics, vol.70, issue.1, pp.127-157, 1996.
DOI : 10.1016/0304-4076(69)41686-9

D. W. Hosmer, On mle of the parameters of a mixture of two normal distributions when the sample size is small, Communications in Statistics, vol.1, issue.3, pp.217-227, 1973.

C. Juhn, S. Potter, and M. Chauvet, Markov switching in disaggregate unemployment rates, Empirical Economics, vol.27, issue.2, pp.205-232, 2002.

N. M. Kiefer, Discrete Parameter Variation: Efficient Estimation of a Switching Regression Model, Econometrica, vol.46, issue.2, pp.427-434, 1978.
DOI : 10.2307/1913910

C. J. Kim, Dynamic linear models with Markov-switching, Journal of Econometrics, vol.60, issue.1-2, pp.1-22, 1994.
DOI : 10.1016/0304-4076(94)90036-1

C. J. Kim and C. R. Nelson, Business Cycle Turning Points, A New Coincident Index, and Tests of Duration Dependence Based on a Dynamic Factor Model With Regime Switching, Review of Economics and Statistics, vol.82, issue.400, pp.188-201, 1998.
DOI : 10.2307/2290410

M. J. Kim and J. S. Yoo, New index of coincident indicators: A multivariate Markov switching factor model approach, Journal of Monetary Economics, vol.36, issue.3, pp.607-630, 1995.
DOI : 10.1016/0304-3932(95)01229-X

V. Krishnamurthy and T. Ryden, 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

R. Paap, R. Segers, and D. Van-dijk, Do Leading Indicators Lead Peaks More Than Troughs?, Journal of Business & Economic Statistics, vol.27, issue.4, pp.528-543, 2009.
DOI : 10.1198/jbes.2009.07061
URL : https://repub.eur.nl/pub/9230/EI2007-08.pdf

Z. Psaradakis and M. Sola, Finite-sample properties of the maximum likelihood estimator in autoregressive models with Markov switching, Journal of Econometrics, vol.86, issue.2, pp.369-386, 1998.
DOI : 10.1016/S0304-4076(98)00010-4

J. Stock and M. Watson, Forecasting Using Principal Components From a Large Number of Predictors, Journal of the American Statistical Association, vol.97, issue.460, pp.1167-1179, 2002.
DOI : 10.1198/016214502388618960

T. Thadewald and H. Bning, Jarque???Bera Test and its Competitors for Testing Normality ??? A Power Comparison, Journal of Applied Statistics, vol.52, issue.1, pp.87-105, 2007.
DOI : 10.2307/2287373

J. M. Wang, T. M. Gao, and R. Mcnown, Measuring Chinese business cycles with dynamic factor models, Journal of Asian Economics, vol.20, issue.2, pp.89-97, 2009.
DOI : 10.1016/j.asieco.2008.10.003