Pietro Rigo
Full professor of Probability
Tel.: +39 0382/986226
Fax: +39 0382/304226
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Pietro Rigo Full professor of Probability Tel.: +39 0382/986226 Fax: +39 0382/304226
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Curriculum vitae
Pietro Rigo was born in Arezzo in 1958, graduated (in Statistics) at the University of Siena in 1982, and got the PhD (Dottorato di Ricerca) at the University of Padova in 1989. From 1989 to 2000, he was at the University of Firenze. Currently, he teaches Probability and Statistics at the Faculty of Economics. For more information (in Italian), click here.
Bayesian statistics, Conditional probability (classical and based on the notion of coherence), Convergence of stochastic processes (almost sure uniform and in distribution), Disintegrability, Empirical processes, Exchangeability, Finite additive probabilities, Integral representation of functionals, Random probability measures, Stochastic integration.
Berti P. Pratelli L. Rigo P. (2010) A Skorohod representation theorem for uniform distance, Probability Theory and Related Fields, to appear.
Berti P. Pratelli L. Rigo P. (2010) Skorohod representation theorem via disintegrations , Sankhya, to appear.
Berti P. Pratelli L. Rigo P. (2009) Atomic intersection of sigma-fields and some of its consequences, Probability Theory and Related Fields, to appear.
Berti P. Crimaldi I. Pratelli L. Rigo P. (2009) Rate of convergence of predictive distributions for dependent data, Bernoulli, 15, 1351-1367.
Berti P. Consonni G. Pratelli L. Rigo P. (2008) Comment: Gibbs sampling, exponential families and orthogonal polynomials (by P. Diaconis, K. Khare, L. Saloff-Coste), Statistical Science, 23, 179-182.
Berti P. Pratelli L. Rigo P. (2008) Trivial intersection of sigma-fields and Gibbs sampling, The Annals of Probability, 36, 2215-2234.
Berti P. Rigo P. (2008) A conditional 0-1 law for the symmetric sigma-field, Journal of Theoretical Probability, 21, 517-526.
Berti P. Regazzini E. Rigo P. (2007) Modes of convergence in the coherent framework, Sankhya, 69, 314-329.
Berti P. Rigo P. (2007) 0-1 laws for regular conditional distributions, The Annals of Probability, 35, 649-662.
Berti P. Pratelli L. Rigo P. (2007) Skorohod representation on a given probability space, Probability Theory and Related Fields, 137, 277-288.
Berti P. Pratelli L. Rigo P. (2006) Almost sure weak convergence of random probability measures, Stochastics: An International Journal of Probability and Stochastic Processes (formerly: Stochastics and Stochastic Reports), 78, 91-97.
Berti P. Rigo P. (2006) Finitely additive uniform limit theorems, Sankhya, 68, 24-44.
Berti P. Pratelli L. Rigo P. (2006) Asymptotic behaviour of the empirical process for exchangeable data, Stochastic Processes and their Applications, 116, 337-344.
Berti P. Pratelli L. Rigo P. (2004) Limit theorems for a class of identically distributed random variables, The Annals of Probability, 32, 2029-2052.
Berti P. Rigo P. (2004) Convergence in distribution of non measurable random elements, The Annals of Probability, 32, 365-379.
Berti P. Regazzini E. Rigo P. (2003) Integration with respect to Brownian-like processes, Sankhya, 65, 715-732.
Berti P. Rigo P. (2003) Bayesian nonparametrics for invariant, non-exchangeable data, Invited Papers of the 54-th Session of the I.S.I., Berlino, 106-109.
Berti P. Rigo P. (2002) On coherent conditional probabilities and disintegrations, Annals of Mathematics and Artificial Intelligence, 35, 71-82.
Berti P. Pratelli L. Rigo P. (2002) Almost sure uniform convergence of empirical distribution functions, International Mathematical Journal, 2, 1237-1250.
Berti P. Mattei A. Rigo P. (2002) Uniform convergence of empirical and predictive measures, Atti del Seminario Matematico e Fisico dell'Universita' di Modena, L, 465-477.
Berti P. Rigo P. (2002) A uniform limit theorem for predictive distributions, Statistics and Probability Letters, 56, 113-120.
Berti P. Regazzini E. Rigo P. (2001) Strong previsions of random elements, Statistical Methods and Applications (Journal of the Italian Statistical Society), 10, 11-28.
Berti P. Rigo P. (2000) Integral representation of linear functionals on spaces of unbounded functions, Proceedings of the American Mathematical Society, 128, 3251-3258.
Berti P. Fattorini L. Rigo P. (2000) Eliminating nuisance parameters: two characterizations, Test, 9, 133-148.
Berti P. Fortini S. Ladelli L. Regazzini E. Rigo P. (2000) On parametric models for invariant probability measures, Quaderni di Statistica, Vol. 2, 39-57.
Berti P. Rigo P. (1999) Existence of non measurable disintegrations, Atti del Seminario Matematico e Fisico dell'Universita' di Modena, XLVII, 65-76.
Berti P. Rigo P. (1999) Sufficient conditions for the existence of disintegrations, Journal of Theoretical Probability, 12, 75-86.
Berti P. Rigo P. (1997) A Glivenko-Cantelli theorem for exchangeable random variables, Statistics and Probability Letters, 32, 385-391.
Berti P. Regazzini E. Rigo P. (1997) Well-calibrated, coherent forecasting systems, Theory of Probability and its applications, 42, 82-102.
Berti P. Rigo P. (1996) On the existence of inferences which are consistent with a given model, The Annals of Statistics, 24, 1235-1249.
Berti P. Rigo P. (1995) A note on Zenga concentration index, Journal of the Italian Statistical Society, 4, 397-404.
Berti P. Rigo P. (1994) Coherent inferences and improper priors, The Annals of Statistics, 22, 1177-1194.
Berti P. Rigo P. (1993) Coherent predictive inferences, Invited Papers of the 49th Session of the I.S.I., Firenze, 15-32.
Berti P. Rigo P. (1992) Weak disintegrability as a form of preservation of coherence, Journal of the Italian Statistical Society, 1, 161-181.
Berti P. Regazzini E. Rigo P. (1992) Finitely additive Radon Nikodym theorem and concentration function of a probability with respect to a probability, Proceedings of the American Mathematical Society, 114, 1069-1078.
Berti P. Regazzini E. Rigo P. (1991) Coherent statistical inference and Bayes theorem, The Annals of Statistics, 19, 366-381.
Berti P. Rigo P. (1989) Conglomerabilità, disintegrabilità e coerenza, Serie Ricerche Teoriche n. 11, Dipartimento Statistico, Università di Firenze.
Rigo P. (1988) Qualitative probabilities, pseudodensities and improper priors, Quaderni del Dipartimento Statistico n. 29, Università di Firenze.
Rigo P. (1988) Un teorema di estensione per probabilità condizionate finitamente additive, Atti della XXXIV Riunione Scientifica della S.I.S., Siena, 27-34.
Rigo P. (1987) Two inequalities for the
Gini index, Statistica, anno XLVII, n. 4, 531-541.
Berti P. Leisen F. Pratelli L. Rigo P. (2005) Limit theorems for empirical processes based on dependent data.
Berti P. Crimaldi I. Pratelli L. Rigo P. (2009) A central limit theorem and its applications to multicolor randomly reinforced urns.
Berti P. Crimaldi I. Pratelli L. Rigo P. (2009) Central limit theorems for multicolor urns with dominated colors.
Berti P. Gori M. Rigo P. (2009) A note on the law of large numbers in economics.
In
progress
Berti P. Rigo P. (2010) Finitely additive equivalent martingale measures.
