T. Adrian and F. Franzoni, Learning about Beta: Time-Varying Factor Loadings, Expected Returns, and the Conditional CAPM, SSRN Electronic Journal, vol.16, pp.537-556, 2009.
DOI : 10.2139/ssrn.1304536
URL : https://hal.archives-ouvertes.fr/hal-00587579

P. Cartier and Y. Perrin, Integration over finite sets Nonstandard Analysis in Practice, pp.195-204, 1995.

F. Diener and M. Diener, Nonstandard Analysis in Practice, pp.1-21, 1995.
DOI : 10.1007/978-3-642-57758-1

M. Fliess, Analyse non standard du bruit, Comptes Rendus Mathematique, vol.342, issue.10, pp.797-802, 2006.
DOI : 10.1016/j.crma.2006.02.037
URL : https://hal.archives-ouvertes.fr/inria-00001134

M. Fliess, Critique du rapport signaì a bruit en communications numériques, ARIMA, vol.9, pp.419-429, 2008.

M. Fliess and C. Join, A mathematical proof of the existence of trends in financial time series Systems Theory: Modeling, Analysis and Control, pp.43-62, 2009.

M. Fliess and C. Join, Systematic Risk Analysis: First Steps Towards a New Definition of Beta, SSRN Electronic Journal, 2009.
DOI : 10.2139/ssrn.1511280
URL : https://hal.archives-ouvertes.fr/inria-00425077

M. Fliess and C. Join, Preliminary remarks on option pricing and dynamic hedging. 1 st Internat, Conf. Syst. Comput. Sci
DOI : 10.1109/iconscs.2012.6502450
URL : https://hal.archives-ouvertes.fr/hal-00705373

M. Fliess and C. Join, Model-free control, International Journal of Control, vol.7, issue.4, pp.2228-2252, 2013.
DOI : 10.1016/j.conengprac.2009.03.005
URL : https://hal.archives-ouvertes.fr/hal-00828135

M. Fliess, C. Join, and F. Hatt, Volatility made observable at last. 3 es J. Identif. Modélisation Expérimentale, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00562488

M. Fliess, C. Join, and F. Hatt, A-t-on vraiment besoin de modèles probabilistes en ingénieriefinancì ere? Conf. médit. ingénierie sûre systèmes complexes, 2011.

M. Fliess, C. Join, and M. Mboup, Algebraic change-point detection, Applicable Algebra in Engineering, Communication and Computing, vol.83, issue.2, pp.131-143, 2010.
DOI : 10.1007/s00200-010-0119-z
URL : https://hal.archives-ouvertes.fr/inria-00439226

M. Fliess, C. Join, and H. Sira-ramírez, Robust residual generation for linear fault diagnosis: an algebraic setting with examples, International Journal of Control, vol.34, issue.14, pp.1223-1242, 2004.
DOI : 10.1080/002071704200024374

M. Fliess, C. Join, and H. Sira-ramírez, Non-linear estimation is easy, International Journal of Modelling, Identification and Control, vol.4, issue.1, pp.12-27, 2008.
DOI : 10.1504/IJMIC.2008.020996
URL : https://hal.archives-ouvertes.fr/inria-00158855

M. Fliess, M. Mboup, H. Mounier, and H. Sira-ramírez, Questioning some paradigms of signal processing via concrete examples, Algebraic Methods in Flatness, Signal Processing and State Estimation, pp.1-21, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00001059

M. Fliess and H. Sira-ramírez, An algebraic framework for linear identification, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.151-168, 2003.
DOI : 10.1051/cocv:2003008
URL : http://www.numdam.org/article/COCV_2003__9__151_0.pdf

M. Fliess and H. Sira-ramírez, Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques Identification of Continuous-time Models from Sampled Data, pp.362-391, 2008.

G. B. Folland, Advanced Calculus, 2002.

R. Gençay, F. Selçuk, and B. Whitcher, An Introduction to Wavelets and Other Filtering Methods in Finance and Economics, 2002.

E. L. Ince, Ordinary Differential Equations. Longmans-Green, 1926.

C. D. Kirkpatrick and J. R. Dahlquist, Technical Analysis: The Complete Resource for Financial Market Technicians, 2010.

C. Lobry and T. Sari, Nonstandard analysis and representation of reality, Internat. J. Control, vol.81, pp.517-534, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00857828

M. Mboup, Parameter estimation for signals described by differential equations, Applicable Analysis, vol.26, issue.1, pp.29-52, 2009.
DOI : 10.1109/MED.2008.4602161

M. Mboup, C. Join, and M. Fliess, Numerical differentiation with annihilators in noisy environment, Numerical Algorithms, vol.14, issue.12, pp.439-467, 2009.
DOI : 10.1007/s11075-008-9236-1
URL : https://hal.archives-ouvertes.fr/inria-00319240

S. Ross, The arbitrage theory of capital asset pricing, Journal of Economic Theory, vol.13, issue.3, pp.341-360, 1976.
DOI : 10.1016/0022-0531(76)90046-6

W. F. Sharpe, Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk, The Journal of Finance, vol.19, issue.3, pp.425-442, 1964.
DOI : 10.2307/2977928

T. Teräsvirta, Forecasting economic variables with nonlinear models, Handbook of Economic Forecasting, pp.413-457, 2006.

C. Tofallis, Investment volatility: A critique of standard beta estimation and a simple way forward, European Journal of Operational Research, vol.187, issue.3, pp.1358-1367, 2008.
DOI : 10.1016/j.ejor.2006.09.018

J. R. Trapero, H. Sira-ramírez, and V. Feliu-battle, An algebraic frequency estimator for a biased and noisy sinusoidal signal, Signal Processing, vol.87, issue.6, pp.1188-1201, 2007.
DOI : 10.1016/j.sigpro.2006.10.006

J. R. Trapero, H. Sira-ramírez, and V. Feliu-battle, A fast on-line frequency estimator of lightly damped vibrations in flexible structures, Journal of Sound and Vibration, vol.307, issue.1-2, pp.365-378, 2007.
DOI : 10.1016/j.jsv.2007.07.005

J. R. Trapero, H. Sira-ramírez, and V. Feliu-battle, On the algebraic identification of the frequencies, amplitudes and phases of two sinusoidal signals from their noisy sum, International Journal of Control, vol.339, issue.3, pp.505-516, 2008.
DOI : 10.1016/j.sigpro.2004.05.008