Full Professor: SECS-S/01 – STATISTICA, Department of Mathematical Sciences G. L. Lagrange, Politecnico di Torino, Italy.
Title: Classes of high dimensional Bernoulli distributions with given identical margins
Abstract: The main contributions of the work (joint with P. Semeraro, Politecnico di Torino) are algorithms to sample from multivariate Bernoulli distributions and to determine the distributions and bounds of a wide class of indices and measures of probability mass functions. Probability mass functions of exchangeable Bernoulli distributions are points in a convex polytope, and we provide an analytical expression for the extremal points of this polytope. The more general class of multivariate Bernoulli distributions with identical marginal Bernoulli distributions with parameter p is also a convex polytope. However, finding its extremal points is a more challenging task. Our novel theoretical contribution is to use an algebraic approach to find a set of analytically available generators.
Biography: Born in Bologna, Italy, Roberto Fontana is currently a Full Professor, SECS-S/01 – STATISTICA, Politecnico di Torino. His areas of specialisation include; Industrial Statistics; Design of Experiments; Algebraic Statistics. Appointments held, since 1995 are: 1995-2001 Head of the StatisticalMethodology Unit at the Fiat Research Center, Orbassano, Turin (I); 2002-2006 Director of Tourism Observatory of Regione Piemonte, Torino (I); 2006-2017 Assistant Professor (Ricercatore SECS-S/01 – Statistica) at Politecnico di Torino (I); 2018-2022 Associate Professor (SECS-S/01 – Statistica) at Politecnico di Torino (I) (till Apr, 2022); 2022-present Full Professor (SECS-S/01 – Statistica) at Politecnico di Torino (I) (sinceMay, 2022); Education: 1988 Laurea inMatematica (cum laude) , Università di Torino (I); 1995 PhD inMatematica, Politecnico di Torino (I).
