Perron, François
- Full Professor
-
Faculty of Arts and Science - Department of Mathematics and Statistics
André-Aisenstadt Office 6188
Courriels
Affiliations
- Membre Centre de recherches mathématiques
- Membre CRM Centre de recherches mathématiques
Research area
- Bayesian statistics
- Monte Carlo methods
- Decision theory
- Copula
- Markov chain
- Asymptotic methods
- Computational statistics
- Analysis and probability
Research projects Expand all Collapse all
Centre de recherches mathématiques (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2022 - 2029
Statistique bayésienne, théorie de la décision et méthodes de simulation par chaînes de Markov CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2018 - 2025
Statistique bayésienne, théorie de la décision et méthodes de simulation par chaînes de Markov CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2018 - 2024
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2015 - 2023
BAYESIAN ESTIMATION OF A COPULA, MCMC AND DECISION THEORY CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2013 - 2019
COMPUTATIONAL RESOURCES FOR RESEARCH IN MATHEMATICS AND STATISTICS CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2013 - 2015
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2008 - 2016
BAYESIAN NONPARAMETRIC ESTIMATION, MCMC AND DECISION THEORY / 2008 - 2012
Selected publications Expand all Collapse all
On runs, bivariate Poisson mixtures and distributions that arise in Bernoulli arrays
Unbiased and almost unbiased ratio estimators of the population mean in ranked set sampling
Bayesian estimation of a bivariate copula using the Jeffreys prior
Non-parametric Bayesian inference on bivariate extremes
On the use of antithetic variables to improve over the ranked set sampling estimator of the population mean
Estimating a bounded parameter for symmetric distributions
A Bayesian estimator for the dependence function of a bivariate extreme-value distribution
Metropolis-Hastings algorithms with adaptive proposals
Adaptive rejection Metropolis sampling using Lagrange interpolation polynomials of degree 2
On the estimation of a restricted location parameter for symmetric distributions
On the geometric ergodicity of Metropolis-Hastings algorithms
Minimax estimation of a constrained binomial proportion $p$ when $\vert p-1/2\vert$ is small
Improving on the mle of a bounded location parameter for spherical distributions
Improving on the independent Metropolis-Hastings algorithm
Optimal Hoeffding bounds for discrete reversible Markov chains
On sums of products of Bernoulli variables and random permutations
Estimation of variance based on a ranked set sample
Extremal properties of sums of Bernoulli random variables
On the minimax estimator of a bounded normal mean
Improving on the MLE of a Bounded Normal Mean
Bayesian nonparametric modeling using mixtures of triangular distributions.
Beyond accept-reject sampling.
Random selection in ranked set sampling and its applications
On a conjecture of Krishnamoorthy and Gupta
Estimation of a mean vector in a two-sample problem
Confidence sets having the shape of a half-space
Monotonic minimax estimators of a $2\times 2$ covariance matrix
Minimax estimators of a covariance matrix
Best equivariant estimation in curved covariance models
Testing independence with additional information
Equivariant estimators of the covariance matrix
On the best equivariant estimator of mean of a multivariate normal population
Equivariant estimation of a mean vector $\mu$ of $N(\mu,\Sigma)$ with $\mu'\Sigma^{-1}\mu=1$ or $\Sigma^{-1/2}\mu =c$ or $\Sigma=\sigma^2\mu'\mu I$