Personal web page of Virgile Caron Virgile CARON

I teached several math courses for undergraduate and postgraduate in the past five years. I was for three years a Teaching Assistant at Université Paris VI (Pierre et Marie Curie University) and for two years Assistant Professor at Paris Institute of Statistics (ISUP). ISUP is a graduate school of statistics based in Paris. It offers specializations in acturial science, Biostatistics and industry. I was in charge of "Time series" (Tutorial 30h) for Postgraduate students and "Statistical inference" (Tutorial 70h) for Postgraduate as well as "Data analysis and regression analysis" (Tutorial 36h) for Undergraduate students. All math courses comes with pratical work on computer. This year, as a postdoc at Telecom Paris Tech, i have no teaching charge.

As a Teaching Assistant (2008-2011)

Undergraduate: Vector Space (Tutorial: 156h).

Matrix, linear system, vector space, linear map, linear algebra (basis, rank, determinant).

Undergraduate : "Data analysis and regression analysis" (Tutorial 36h).

Descriptive statistics, linear regression, principal component analysis, notion of probability theory, Gaussian vectors, point estimators, interval estimators.


As a full time Assistant Professor (2011-2012, 2012-2013)

Postgraduate : "Time series" (Tutorial 30h).

Stationary process, autocorrelation, Autoregressif model, Moving average model, Durbin-Levinson algorithm, innovation algorithm, Autoregressive-moving-average model, spectral density, parameter estimation for ARMA process.

Postgraduate : "Statistical inference" (Tutorial 70h).

Decision theory, statistical model, sufficient statistic, exponential family, Rao-Blackwell Theorem, Method of moments, Maximum likelihood method, bayesian estimator, Minimum-variance unbiased estimator, Neyman-Paerson test, chi2 test, Kolmogorov-Smirnov test, interval estimators.


Undergraduate : "Data analysis and regression analysis" (Tutorial 36h).

Descriptive statistics, linear regression, principal component analysis, notion of probability theory, Gaussian vectors, point estimators, interval estimators.