Pratelli, Luca; Rigo, Pietro Some duality results for equivalence couplings and total variation. (English) Zbl 07905734 Electron. Commun. Probab. 29, Paper No. 17, 12 p. (2024). MSC: 60A10 60E05 28A35 49N15 49Q22 PDFBibTeX XMLCite \textit{L. Pratelli} and \textit{P. Rigo}, Electron. Commun. Probab. 29, Paper No. 17, 12 p. (2024; Zbl 07905734) Full Text: DOI arXiv Link OA License
Barabesi, Lucio; Pratelli, Luca An inequality for the total variation distance between high-dimensional centered Gaussian laws. (English) Zbl 07888222 Stat. Probab. Lett. 211, Article ID 110148, 5 p. (2024). MSC: 60E15 60F05 62G10 PDFBibTeX XMLCite \textit{L. Barabesi} and \textit{L. Pratelli}, Stat. Probab. Lett. 211, Article ID 110148, 5 p. (2024; Zbl 07888222) Full Text: DOI
Janson, Svante; Pratelli, Luca; Rigo, Pietro Quantitative bounds in the central limit theorem for \(m\)-dependent random variables. (English) Zbl 07873645 ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 245-265 (2024). MSC: 60F05 PDFBibTeX XMLCite \textit{S. Janson} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 245--265 (2024; Zbl 07873645) Full Text: arXiv Link
Di Noia, Antonio; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca A family of consistent normally distributed tests for Poissonity. (English) Zbl 1539.62122 AStA, Adv. Stat. Anal. 108, No. 1, 209-223 (2024). MSC: 62G10 62G20 62E10 PDFBibTeX XMLCite \textit{A. Di Noia} et al., AStA, Adv. Stat. Anal. 108, No. 1, 209--223 (2024; Zbl 1539.62122) Full Text: DOI arXiv OA License
Dreassi, Emanuela; Leisen, Fabrizio; Pratelli, Luca; Rigo, Pietro Generating knockoffs via conditional independence. (English) Zbl 07823209 Electron. J. Stat. 18, No. 1, 119-144 (2024). MSC: 62E10 62H05 60E05 62J02 PDFBibTeX XMLCite \textit{E. Dreassi} et al., Electron. J. Stat. 18, No. 1, 119--144 (2024; Zbl 07823209) Full Text: DOI arXiv Link
Barabesi, Lucio; Di Noia, Antonio; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca Estimation and goodness-of-fit testing for positive random variables with explicit Laplace transform. arXiv:2405.15041 Preprint, arXiv:2405.15041 [math.ST] (2024). BibTeX Cite \textit{L. Barabesi} et al., ``Estimation and goodness-of-fit testing for positive random variables with explicit Laplace transform'', Preprint, arXiv:2405.15041 [math.ST] (2024) Full Text: arXiv OA License
Basili, Marcello; Pratelli, Luca A new approach for imprecise probabilities. arXiv:2402.02556 Preprint, arXiv:2402.02556 [math.ST] (2024). BibTeX Cite \textit{M. Basili} and \textit{L. Pratelli}, ``A new approach for imprecise probabilities'', Preprint, arXiv:2402.02556 [math.ST] (2024) Full Text: arXiv OA License
Berti, Patrizia; Dreassi, Emanuela; Leisen, Fabrizio; Pratelli, Luca; Rigo, Pietro Bayesian predictive inference without a prior. (English) Zbl 07764890 Stat. Sin. 33, No. 4, 2405-2429 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{P. Berti} et al., Stat. Sin. 33, No. 4, 2405--2429 (2023; Zbl 07764890) Full Text: DOI arXiv
Pratelli, Luca; Rigo, Pietro A central limit theorem for some generalized martingale arrays. (English) Zbl 1521.60014 Electron. Commun. Probab. 28, Paper No. 26, 12 p. (2023). MSC: 60F05 60H05 60B10 60J65 PDFBibTeX XMLCite \textit{L. Pratelli} and \textit{P. Rigo}, Electron. Commun. Probab. 28, Paper No. 26, 12 p. (2023; Zbl 1521.60014) Full Text: DOI Link
Di Noia, Antonio; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca Censoring heavy-tail count distributions for parameter estimation with an application to stable distributions. (English) Zbl 1523.60039 Stat. Probab. Lett. 202, Article ID 109903, 5 p. (2023). MSC: 60E07 60E05 60E10 62E10 PDFBibTeX XMLCite \textit{A. Di Noia} et al., Stat. Probab. Lett. 202, Article ID 109903, 5 p. (2023; Zbl 1523.60039) Full Text: DOI arXiv
Pratelli, Luca; Rigo, Pietro A strong version of the Skorohod representation theorem. (English) Zbl 1514.60005 J. Theor. Probab. 36, No. 1, 372-389 (2023). MSC: 60B10 60A05 60A10 PDFBibTeX XMLCite \textit{L. Pratelli} and \textit{P. Rigo}, J. Theor. Probab. 36, No. 1, 372--389 (2023; Zbl 1514.60005) Full Text: DOI OA License
Berti, Patrizia; Dreassi, Emanuela; Leisen, Fabrizio; Pratelli, Luca; Rigo, Pietro Kernel based Dirichlet sequences. (English) Zbl 1527.60003 Bernoulli 29, No. 2, 1321-1342 (2023). MSC: 60B10 60G09 60G57 62G05 60F05 PDFBibTeX XMLCite \textit{P. Berti} et al., Bernoulli 29, No. 2, 1321--1342 (2023; Zbl 1527.60003) Full Text: DOI arXiv Link
Di Noia, Antonio; Barabesi, Lucio; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca Goodness-of-fit test for count distributions with finite second moment. (English) Zbl 07661829 J. Nonparametric Stat. 35, No. 1, 19-37 (2023). MSC: 62G10 62G20 PDFBibTeX XMLCite \textit{A. Di Noia} et al., J. Nonparametric Stat. 35, No. 1, 19--37 (2023; Zbl 07661829) Full Text: DOI arXiv
Barabesi, Lucio; Pratelli, Luca; Rigo, Pietro On the Chvátal-Janson conjecture. (English) Zbl 1506.60021 Stat. Probab. Lett. 194, Article ID 109744, 6 p. (2023). Reviewer: Carlo Sempi (Lecce) MSC: 60E05 60E15 60C05 PDFBibTeX XMLCite \textit{L. Barabesi} et al., Stat. Probab. Lett. 194, Article ID 109744, 6 p. (2023; Zbl 1506.60021) Full Text: DOI
Berti, Patrizia; Dreassi, Emanuela; Leisen, Fabrizio; Pratelli, Luca; Rigo, Pietro New perspectives on knockoffs construction. (English) Zbl 1498.62037 J. Stat. Plann. Inference 223, 1-14 (2023). MSC: 62E10 62H05 60E05 62J02 PDFBibTeX XMLCite \textit{P. Berti} et al., J. Stat. Plann. Inference 223, 1--14 (2023; Zbl 1498.62037) Full Text: DOI arXiv
Fattorini, Lorenzo; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca Design-based properties of the nearest neighbor spatial interpolator and its bootstrap mean squared error estimator. (English) Zbl 1520.62193 Biometrics 78, No. 4, 1454-1463 (2022). MSC: 62P10 PDFBibTeX XMLCite \textit{L. Fattorini} et al., Biometrics 78, No. 4, 1454--1463 (2022; Zbl 1520.62193) Full Text: DOI OA License
Berti, Patrizia; Dreassi, Emanuela; Leisen, Fabrizio; Rigo, Pietro; Pratelli, Luca A probabilistic view on predictive constructions for Bayesian learning. arXiv:2208.06785 Preprint, arXiv:2208.06785 [stat.ME] (2022). BibTeX Cite \textit{P. Berti} et al., ``A probabilistic view on predictive constructions for Bayesian learning'', Preprint, arXiv:2208.06785 [stat.ME] (2022) Full Text: arXiv OA License
Pratelli, Luca; Rigo, Pietro On the almost sure convergence of sums. (English) Zbl 1480.60002 Stat. Probab. Lett. 172, Article ID 109045, 6 p. (2021). Reviewer: Rasul A. Khan (Solon) MSC: 60A05 60F99 PDFBibTeX XMLCite \textit{L. Pratelli} and \textit{P. Rigo}, Stat. Probab. Lett. 172, Article ID 109045, 6 p. (2021; Zbl 1480.60002) Full Text: DOI arXiv
Fattorini, Lorenzo; Franceschi, Sara; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca Two-phase sampling strategies for design-based mapping of continuous spatial populations in environmental surveys. (English) Zbl 1475.62276 Ann. Appl. Stat. 15, No. 1, 287-303 (2021). MSC: 62P12 62K20 62D05 PDFBibTeX XMLCite \textit{L. Fattorini} et al., Ann. Appl. Stat. 15, No. 1, 287--303 (2021; Zbl 1475.62276) Full Text: DOI
Berti, Patrizia; Dreassi, Emanuela; Pratelli, Luca; Rigo, Pietro Asymptotics of certain conditionally identically distributed sequences. (English) Zbl 1457.60061 Stat. Probab. Lett. 168, Article ID 108923, 10 p. (2021). MSC: 60G25 60F05 60G09 62F15 62M20 PDFBibTeX XMLCite \textit{P. Berti} et al., Stat. Probab. Lett. 168, Article ID 108923, 10 p. (2021; Zbl 1457.60061) Full Text: DOI
Berti, Patrizia; Dreassi, Emanuela; Pratelli, Luca; Rigo, Pietro A class of models for Bayesian predictive inference. (English) Zbl 1466.62274 Bernoulli 27, No. 1, 702-726 (2021). Reviewer: Jaromír Antoch (Praha) MSC: 62G05 62L10 60B10 60F05 60F15 60G09 PDFBibTeX XMLCite \textit{P. Berti} et al., Bernoulli 27, No. 1, 702--726 (2021; Zbl 1466.62274) Full Text: DOI Euclid
Barabesi, Lucio; Pratelli, Luca On the generalized Benford law. (English) Zbl 1447.60036 Stat. Probab. Lett. 160, Article ID 108702, 8 p. (2020). MSC: 60E05 60F05 62E15 PDFBibTeX XMLCite \textit{L. Barabesi} and \textit{L. Pratelli}, Stat. Probab. Lett. 160, Article ID 108702, 8 p. (2020; Zbl 1447.60036) Full Text: DOI
Pratelli, Luca; Rigo, Pietro On the existence of continuous processes with given one-dimensional distributions. (English) Zbl 1455.60053 Electron. Commun. Probab. 24, Paper No. 46, 9 p. (2019). MSC: 60G05 60B10 60G17 PDFBibTeX XMLCite \textit{L. Pratelli} and \textit{P. Rigo}, Electron. Commun. Probab. 24, Paper No. 46, 9 p. (2019; Zbl 1455.60053) Full Text: DOI Euclid
Fattorini, Lorenzo; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca Design-based mapping for finite populations of marked points. (English) Zbl 1418.62115 Electron. J. Stat. 13, No. 1, 2121-2149 (2019). MSC: 62G05 62G20 62P10 PDFBibTeX XMLCite \textit{L. Fattorini} et al., Electron. J. Stat. 13, No. 1, 2121--2149 (2019; Zbl 1418.62115) Full Text: DOI Euclid
Pratelli, Luca; Rigo, Pietro Total variation bounds for Gaussian functionals. (English) Zbl 1415.60006 Stochastic Processes Appl. 129, No. 7, 2231-2248 (2019). MSC: 60B10 60F05 60G15 PDFBibTeX XMLCite \textit{L. Pratelli} and \textit{P. Rigo}, Stochastic Processes Appl. 129, No. 7, 2231--2248 (2019; Zbl 1415.60006) Full Text: DOI
Barabesi, Lucio; Pratelli, Luca On the properties of a Takács distribution. (English) Zbl 1407.60022 Stat. Probab. Lett. 148, 66-73 (2019). MSC: 60E05 60F05 60E10 PDFBibTeX XMLCite \textit{L. Barabesi} and \textit{L. Pratelli}, Stat. Probab. Lett. 148, 66--73 (2019; Zbl 1407.60022) Full Text: DOI
Fattorini, Lorenzo; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca Design-based maps for continuous spatial populations. (English) Zbl 07072421 Biometrika 105, No. 2, 419-429 (2018). MSC: 62P10 PDFBibTeX XMLCite \textit{L. Fattorini} et al., Biometrika 105, No. 2, 419--429 (2018; Zbl 07072421) Full Text: DOI
Pratelli, Luca; Rigo, Pietro Convergence in total variation to a mixture of Gaussian laws. (English) Zbl 1404.60008 Mathematics 6, No. 6, Paper No. 99, 14 p. (2018). MSC: 60B10 60F05 PDFBibTeX XMLCite \textit{L. Pratelli} and \textit{P. Rigo}, Mathematics 6, No. 6, Paper No. 99, 14 p. (2018; Zbl 1404.60008) Full Text: DOI OA License
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Asymptotic predictive inference with exchangeable data. (English) Zbl 1404.60007 Braz. J. Probab. Stat. 32, No. 4, 815-833 (2018). MSC: 60B10 60G09 60F17 62G20 62F15 PDFBibTeX XMLCite \textit{P. Berti} et al., Braz. J. Probab. Stat. 32, No. 4, 815--833 (2018; Zbl 1404.60007) Full Text: DOI Euclid
Fattorini, L.; Marcheselli, M.; Pratelli, L. Design-based maps for finite populations of spatial units. (English) Zbl 1398.62255 J. Am. Stat. Assoc. 113, No. 522, 686-697 (2018). MSC: 62M30 62D05 PDFBibTeX XMLCite \textit{L. Fattorini} et al., J. Am. Stat. Assoc. 113, No. 522, 686--697 (2018; Zbl 1398.62255) Full Text: DOI Link
Fattorini, Lorenzo; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca Design-based asymptotics for two-phase sampling strategies in environmental surveys. (English) Zbl 1506.62238 Biometrika 104, No. 1, 195-205 (2017). MSC: 62D10 62P12 PDFBibTeX XMLCite \textit{L. Fattorini} et al., Biometrika 104, No. 1, 195--205 (2017; Zbl 1506.62238) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Rate of convergence of empirical measures for exchangeable sequences. (English) Zbl 1505.60042 Math. Slovaca 67, No. 6, 1557-1570 (2017). MSC: 60G09 60B10 60A10 60G57 62F15 PDFBibTeX XMLCite \textit{P. Berti} et al., Math. Slovaca 67, No. 6, 1557--1570 (2017; Zbl 1505.60042) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Asymptotics of predictive distributions. (English) Zbl 1422.62014 Ferraro, Maria Brigida (ed.) et al., Soft methods for data science. Selected papers based on the presentations at the 8th international conference on soft methods in probability and statistics, SMPS 2016, Rome, Italy, September 12–14, 2016. Cham: Springer. Adv. Intell. Syst. Comput. 456, 53-60 (2017). MSC: 62-07 60B20 62E10 62E20 PDFBibTeX XMLCite \textit{P. Berti} et al., Adv. Intell. Syst. Comput. 456, 53--60 (2017; Zbl 1422.62014) Full Text: DOI
Berti, Patrizia; Crimaldi, Irene; Pratelli, Luca; Rigo, Pietro Asymptotics for randomly reinforced urns with random barriers. (English) Zbl 1358.60005 J. Appl. Probab. 53, No. 4, 1206-1220 (2016). MSC: 60B10 60F05 60G57 62F15 PDFBibTeX XMLCite \textit{P. Berti} et al., J. Appl. Probab. 53, No. 4, 1206--1220 (2016; Zbl 1358.60005) Full Text: DOI arXiv Euclid
Barabesi, L.; Fattorini, L.; Marcheselli, M.; Pisani, C.; Pratelli, L. The estimation of diversity indexes by using stratified allocations of plots, points or transects. (English) Zbl 1525.62067 Environmetrics 26, No. 3, 202-215 (2015). MSC: 62P12 PDFBibTeX XMLCite \textit{L. Barabesi} et al., Environmetrics 26, No. 3, 202--215 (2015; Zbl 1525.62067) Full Text: DOI
Barabesi, L.; Pratelli, L. Universal methods for generating random variables with a given characteristic function. (English) Zbl 1458.65006 J. Stat. Comput. Simulation 85, No. 8, 1679-1691 (2015). MSC: 65C10 62-08 60E10 PDFBibTeX XMLCite \textit{L. Barabesi} and \textit{L. Pratelli}, J. Stat. Comput. Simulation 85, No. 8, 1679--1691 (2015; Zbl 1458.65006) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro A survey on Skorokhod representation theorem without separability. (English) Zbl 1363.60002 Theory Stoch. Process. 20, No. 2, 1-12 (2015). MSC: 60B10 60A05 60A10 PDFBibTeX XMLCite \textit{P. Berti} et al., Theory Stoch. Process. 20, No. 2, 1--12 (2015; Zbl 1363.60002)
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Gluing lemmas and Skorohod representations. (English) Zbl 1330.60010 Electron. Commun. Probab. 20, Paper No. 53, 11 p. (2015). MSC: 60B10 60A05 60A10 PDFBibTeX XMLCite \textit{P. Berti} et al., Electron. Commun. Probab. 20, Paper No. 53, 11 p. (2015; Zbl 1330.60010) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Two versions of the fundamental theorem of asset pricing. (English) Zbl 1326.60007 Electron. J. Probab. 20, Paper No. 34, 21 p. (2015). MSC: 60A05 60A10 28C05 91B25 91G10 PDFBibTeX XMLCite \textit{P. Berti} et al., Electron. J. Probab. 20, Paper No. 34, 21 p. (2015; Zbl 1326.60007) Full Text: DOI arXiv
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro; Spizzichino, Fabio Equivalent or absolutely continuous probability measures with given marginals. (English) Zbl 1328.60007 Depend. Model. 3, 47-58 (2015). MSC: 60A05 60A10 28A35 PDFBibTeX XMLCite \textit{P. Berti} et al., Depend. Model. 3, 47--58 (2015; Zbl 1328.60007) Full Text: DOI OA License
Berti, Patrizia; Crimaldi, Irene; Pratelli, Luca; Rigo, Pietro Central limit theorems for an Indian buffet model with random weights. (English) Zbl 1314.60015 Ann. Appl. Probab. 25, No. 2, 523-547 (2015). MSC: 60B10 60F05 60G09 60G57 62F15 PDFBibTeX XMLCite \textit{P. Berti} et al., Ann. Appl. Probab. 25, No. 2, 523--547 (2015; Zbl 1314.60015) Full Text: DOI arXiv Euclid
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro A unifying view on some problems in probability and statistics. (English) Zbl 1478.60007 Stat. Methods Appl. 23, No. 4, 483-500 (2014). MSC: 60A05 60A10 60G05 PDFBibTeX XMLCite \textit{P. Berti} et al., Stat. Methods Appl. 23, No. 4, 483--500 (2014; Zbl 1478.60007) Full Text: DOI
Barabesi, Lucio; Pratelli, Luca Discussion of “On simulation and properties of the stable law” by L. Devroye and L. James. (English) Zbl 1332.65006 Stat. Methods Appl. 23, No. 3, 345-351 (2014). MSC: 65C10 65C05 60E05 60E07 60E10 PDFBibTeX XMLCite \textit{L. Barabesi} and \textit{L. Pratelli}, Stat. Methods Appl. 23, No. 3, 345--351 (2014; Zbl 1332.65006) Full Text: DOI
Barabesi, Lucio; Pratelli, Luca A note on a universal random variate generator for integer-valued random variables. (English) Zbl 1325.65013 Stat. Comput. 24, No. 4, 589-596 (2014). MSC: 65C10 62E10 60E10 PDFBibTeX XMLCite \textit{L. Barabesi} and \textit{L. Pratelli}, Stat. Comput. 24, No. 4, 589--596 (2014; Zbl 1325.65013) Full Text: DOI arXiv
Berti, P.; Crimaldi, I.; Pratelli, L.; Rigo, P. An Anscombe-type theorem. (English) Zbl 1309.60012 J. Math. Sci., New York 196, No. 1, 15-22 (2014). Reviewer: Wiesław Dziubdziela (Miedziana Gora) MSC: 60F05 PDFBibTeX XMLCite \textit{P. Berti} et al., J. Math. Sci., New York 196, No. 1, 15--22 (2014; Zbl 1309.60012) Full Text: DOI arXiv
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Price uniqueness and fundamental theorem of asset pricing with finitely additive probabilities. (English) Zbl 1398.60003 Stochastics 86, No. 1, 135-146 (2014). MSC: 60A05 60A10 28C05 91B25 91G10 PDFBibTeX XMLCite \textit{P. Berti} et al., Stochastics 86, No. 1, 135--146 (2014; Zbl 1398.60003) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro A Skorohod representation theorem without separability. (English) Zbl 1308.60007 Electron. Commun. Probab. 18, Paper No. 80, 12 p. (2013). MSC: 60B10 60A05 60A10 PDFBibTeX XMLCite \textit{P. Berti} et al., Electron. Commun. Probab. 18, Paper No. 80, 12 p. (2013; Zbl 1308.60007) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Finitely additive equivalent martingale measures. (English) Zbl 1302.60009 J. Theor. Probab. 26, No. 1, 46-57 (2013). MSC: 60A05 60A10 28C05 91B25 91G10 PDFBibTeX XMLCite \textit{P. Berti} et al., J. Theor. Probab. 26, No. 1, 46--57 (2013; Zbl 1302.60009) Full Text: DOI arXiv Link
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Exchangeable sequences driven by an absolutely continuous random measure. (English) Zbl 1277.60064 Ann. Probab. 41, No. 3B, 2090-2102 (2013). MSC: 60G09 60G42 60G57 62F15 PDFBibTeX XMLCite \textit{P. Berti} et al., Ann. Probab. 41, No. 3B, 2090--2102 (2013; Zbl 1277.60064) Full Text: DOI arXiv Euclid
Brasco, Lorenzo; Nitsch, Carlo; Pratelli, Aldo On the boundary of the attainable set of the Dirichlet spectrum. (English) Zbl 1277.47023 Z. Angew. Math. Phys. 64, No. 3, 591-597 (2013). Reviewer: Dian K. Palagachev (Bari) MSC: 47A75 35P15 PDFBibTeX XMLCite \textit{L. Brasco} et al., Z. Angew. Math. Phys. 64, No. 3, 591--597 (2013; Zbl 1277.47023) Full Text: DOI arXiv HAL
Pratelli, Luca; Baccini, Alberto; Barabesi, Lucio; Marcheselli, Marzia Statistical analysis of the Hirsch index. (English) Zbl 1253.62103 Scand. J. Stat. 39, No. 4, 681-694 (2012). MSC: 62P99 62G05 PDFBibTeX XMLCite \textit{L. Pratelli} et al., Scand. J. Stat. 39, No. 4, 681--694 (2012; Zbl 1253.62103) Full Text: DOI arXiv
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Finitely additive FTAP under an atomic reference measure. (English) Zbl 1252.60003 Greco, Salvatore (ed.) et al., Advances in computational intelligence. 14th international conference on information processing and management of uncertainty in knowledge-based systems, IPMU 2012, Catania, Italy, July 9–13, 2012. Proceedings, Part IV. Berlin: Springer (ISBN 978-3-642-31723-1/pbk; 978-3-642-31724-8/ebook). Communications in Computer and Information Science 300, 114-123 (2012). MSC: 60A05 28C05 60A10 91B25 91G10 PDFBibTeX XMLCite \textit{P. Berti} et al., Commun. Comput. Inf. Sci. 300, 114--123 (2012; Zbl 1252.60003) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Limit theorems for empirical processes based on dependent data. (English) Zbl 1246.60009 Electron. J. Probab. 17, Paper No. 9, 18 p. (2012). MSC: 60B10 60F05 60G09 60G57 PDFBibTeX XMLCite \textit{P. Berti} et al., Electron. J. Probab. 17, Paper No. 9, 18 p. (2012; Zbl 1246.60009) Full Text: DOI
Brasco, Lorenzo; Pratelli, Aldo Sharp stability of some spectral inequalities. (English) Zbl 1241.47015 Geom. Funct. Anal. 22, No. 1, 107-135 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 47A75 58J50 52A40 49Q20 49R05 PDFBibTeX XMLCite \textit{L. Brasco} and \textit{A. Pratelli}, Geom. Funct. Anal. 22, No. 1, 107--135 (2012; Zbl 1241.47015) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro A Skorohod representation theorem for uniform distance. (English) Zbl 1228.60009 Probab. Theory Relat. Fields 150, No. 1-2, 321-335 (2011). Reviewer: Carlo Sempi (Lecce) MSC: 60B10 60A05 60A10 PDFBibTeX XMLCite \textit{P. Berti} et al., Probab. Theory Relat. Fields 150, No. 1--2, 321--335 (2011; Zbl 1228.60009) Full Text: DOI Link
Berti, Patrizia; Crimaldi, Irene; Pratelli, Luca; Rigo, Pietro A central limit theorem and its applications to multicolor randomly reinforced urns. (English) Zbl 1225.60038 J. Appl. Probab. 48, No. 2, 527-546 (2011). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60F05 60G57 60B10 60F15 PDFBibTeX XMLCite \textit{P. Berti} et al., J. Appl. Probab. 48, No. 2, 527--546 (2011; Zbl 1225.60038) Full Text: DOI arXiv
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Skorohod representation theorem via disintegrations. (English) Zbl 1209.60005 Sankhyā, Ser. A 72, No. 1, 208-220 (2010). MSC: 60B10 60A05 60A10 PDFBibTeX XMLCite \textit{P. Berti} et al., Sankhyā, Ser. A 72, No. 1, 208--220 (2010; Zbl 1209.60005) Full Text: DOI Link
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Atomic intersection of \(\sigma \)-fields and some of its consequences. (English) Zbl 1200.60008 Probab. Theory Relat. Fields 148, No. 1-2, 269-283 (2010). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 60A10 PDFBibTeX XMLCite \textit{P. Berti} et al., Probab. Theory Relat. Fields 148, No. 1--2, 269--283 (2010; Zbl 1200.60008) Full Text: DOI Link
Berti, Patrizia; Crimaldi, Irene; Pratelli, Luca; Rigo, Pietro Central limit theorems for multicolor urns with dominated colors. (English) Zbl 1203.60025 Stochastic Processes Appl. 120, No. 8, 1473-1491 (2010). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60F05 60G57 PDFBibTeX XMLCite \textit{P. Berti} et al., Stochastic Processes Appl. 120, No. 8, 1473--1491 (2010; Zbl 1203.60025) Full Text: DOI arXiv
Berti, Patrizia; Crimaldi, Irene; Pratelli, Luca; Rigo, Pietro Rate of convergence of predictive distributions for dependent data. (English) Zbl 1375.60063 Bernoulli 15, No. 4, 1351-1367 (2009). MSC: 60F05 62G05 60B10 PDFBibTeX XMLCite \textit{P. Berti} et al., Bernoulli 15, No. 4, 1351--1367 (2009; Zbl 1375.60063) Full Text: DOI arXiv
Berti, Patrizia; Consonni, Guido; Pratelli, Luca; Rigo, Pietro Comment: “Gibbs sampling, exponential families and orthogonal polynomials”. (English) Zbl 1327.62056 Stat. Sci. 23, No. 2, 179-182 (2008). MSC: 62D05 60E05 60J10 PDFBibTeX XMLCite \textit{P. Berti} et al., Stat. Sci. 23, No. 2, 179--182 (2008; Zbl 1327.62056) Full Text: DOI arXiv Euclid
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Trivial intersection of \(\sigma \)-fields and Gibbs sampling. (English) Zbl 1159.60007 Ann. Probab. 36, No. 6, 2215-2234 (2008). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60A05 60A10 60J22 65C05 PDFBibTeX XMLCite \textit{P. Berti} et al., Ann. Probab. 36, No. 6, 2215--2234 (2008; Zbl 1159.60007) Full Text: DOI arXiv
Crimaldi, Irene; Letta, Giorgio; Pratelli, Luca A strong form of stable convergence. (English) Zbl 1129.60030 Donati-Martin, Catherine (ed.) et al., Séminaire de Probabilités XL. Berlin: Springer (ISBN 978-3-540-71188-9/pbk). Lecture Notes in Mathematics 1899, 203-225 (2007). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{I. Crimaldi} et al., Lect. Notes Math. 1899, 203--225 (2007; Zbl 1129.60030) Full Text: DOI
Crimaldi, Irene; Letta, Giorgio; Pratelli, Luca Exchanging the order of two operations on sigma-fields. (Sur l’intervension de l’ordre entre deux opérations sur les tribus.) (French. English summary) Zbl 1123.60002 C. R., Math., Acad. Sci. Paris 345, No. 6, 341-344 (2007). MSC: 60A10 PDFBibTeX XMLCite \textit{I. Crimaldi} et al., C. R., Math., Acad. Sci. Paris 345, No. 6, 341--344 (2007; Zbl 1123.60002) Full Text: DOI
Marcheselli, Marzia; Pratelli, Luca Some asymptotic results on the sum of variances of order statistics. (English) Zbl 1114.60309 Int. J. Contemp. Math. Sci. 2, No. 1-4, 103-113 (2007). MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{M. Marcheselli} and \textit{L. Pratelli}, Int. J. Contemp. Math. Sci. 2, No. 1--4, 103--113 (2007; Zbl 1114.60309) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Skorohod representation on a given probability space. (English) Zbl 1106.60003 Probab. Theory Relat. Fields 137, No. 3-4, 277-288 (2007). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60B10 60A05 60A10 PDFBibTeX XMLCite \textit{P. Berti} et al., Probab. Theory Relat. Fields 137, No. 3--4, 277--288 (2007; Zbl 1106.60003) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Almost sure weak convergence of random probability measures. (English) Zbl 1100.60025 Stochastics 78, No. 2, 91-97 (2006). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60G57 60F15 60B10 60A05 PDFBibTeX XMLCite \textit{P. Berti} et al., Stochastics 78, No. 2, 91--97 (2006; Zbl 1100.60025) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Asymptotic behaviour of the empirical process for exchangeable data. (English) Zbl 1087.60503 Stochastic Processes Appl. 116, No. 2, 337-344 (2006). MSC: 60B10 PDFBibTeX XMLCite \textit{P. Berti} et al., Stochastic Processes Appl. 116, No. 2, 337--344 (2006; Zbl 1087.60503) Full Text: DOI
Crimaldi, Irene; Pratelli, Luca Convergence results for conditional expectations. (English) Zbl 1114.60024 Bernoulli 11, No. 4, 737-745 (2005). Reviewer: Pavel Froněk (Praha) MSC: 60F05 PDFBibTeX XMLCite \textit{I. Crimaldi} and \textit{L. Pratelli}, Bernoulli 11, No. 4, 737--745 (2005; Zbl 1114.60024) Full Text: DOI
Crimaldi, Irene; Pratelli, Luca Two inequalities for conditional expectations and convergence results for filters. (English) Zbl 1074.60019 Stat. Probab. Lett. 74, No. 2, 151-162 (2005). MSC: 60E15 60G35 60F05 PDFBibTeX XMLCite \textit{I. Crimaldi} and \textit{L. Pratelli}, Stat. Probab. Lett. 74, No. 2, 151--162 (2005; Zbl 1074.60019) Full Text: DOI
Giuliano Antonini, Rita; Pratelli, Luca A strong law of large numbers for generalized almost sure central limit theorems. (English) Zbl 1074.60036 Teor. Jmovirn. Mat. Stat. 70, 1-8 (2004) and Theory Probab. Math. Stat. 70, 1-9 (2005). Reviewer: R. E. Maiboroda (Kyïv) MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{R. Giuliano Antonini} and \textit{L. Pratelli}, Teor. Ĭmovirn. Mat. Stat. 70, 1--8 (2005; Zbl 1074.60036)
Crimaldi, Irene; Pratelli, Luca Convergence results for multivariate martingales. (English) Zbl 1070.60040 Stochastic Processes Appl. 115, No. 4, 571-577 (2005). MSC: 60G48 60F05 PDFBibTeX XMLCite \textit{I. Crimaldi} and \textit{L. Pratelli}, Stochastic Processes Appl. 115, No. 4, 571--577 (2005; Zbl 1070.60040) Full Text: DOI Link
De Pascale, Luigi; Pratelli, Aldo Sharp summability for Monge transport density via interpolation. (English) Zbl 1072.49033 ESAIM, Control Optim. Calc. Var. 10, 549-552 (2004). MSC: 49Q20 41A65 49N60 PDFBibTeX XMLCite \textit{L. De Pascale} and \textit{A. Pratelli}, ESAIM, Control Optim. Calc. Var. 10, 549--552 (2004; Zbl 1072.49033) Full Text: DOI Numdam EuDML
Ambrosio, L.; Kirchheim, B.; Pratelli, A. Existence of optimal transport maps for crystalline norms. (English) Zbl 1076.49022 Duke Math. J. 125, No. 2, 207-241 (2004). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49Q20 49J45 28A50 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Duke Math. J. 125, No. 2, 207--241 (2004; Zbl 1076.49022) Full Text: DOI Euclid
De Pascale, L.; Evans, L. C.; Pratelli, A. Integral estimates for transport densities. (English) Zbl 1068.35170 Bull. Lond. Math. Soc. 36, No. 3, 383-395 (2004). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 35Q72 82C70 PDFBibTeX XMLCite \textit{L. De Pascale} et al., Bull. Lond. Math. Soc. 36, No. 3, 383--395 (2004; Zbl 1068.35170) Full Text: DOI
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Limit theorems for a class of identically distributed random variables. (English) Zbl 1050.60004 Ann. Probab. 32, No. 3A, 2029-2052 (2004). Reviewer: A. J. Stam (Winsum) MSC: 60B10 60F05 60F15 60G09 PDFBibTeX XMLCite \textit{P. Berti} et al., Ann. Probab. 32, No. 3A, 2029--2052 (2004; Zbl 1050.60004) Full Text: DOI arXiv
Ambrosio, Luigi; Pratelli, Aldo Existence and stability results in the \(L^1\) theory of optimal transportation. (English) Zbl 1065.49026 Caffarelli, Luis A. (ed.) et al., Optimal transportation and applications. Lectures given at the C.I.M.E. summer school, Martina Franca, Italy, September 2–8, 2001. Berlin: Springer (ISBN 3-540-40192-X/pbk). Lect. Notes Math. 1813, 123-160 (2003). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49Q20 49J45 PDFBibTeX XMLCite \textit{L. Ambrosio} and \textit{A. Pratelli}, Lect. Notes Math. 1813, 123--160 (2003; Zbl 1065.49026)
Berti, Patrizia; Pratelli, Luca; Rigo, Pietro Almost sure uniform convergence of empirical distribution functions. (English) Zbl 1221.60039 Int. Math. J. 2, No. 12, 1237-1250 (2002). MSC: 60F15 60B10 60G09 62G20 62G30 PDFBibTeX XMLCite \textit{P. Berti} et al., Int. Math. J. 2, No. 12, 1237--1250 (2002; Zbl 1221.60039)
De Pascale, Luigi; Pratelli, Aldo Regularity properties for Monge transport density and for solutions of some shape optimization problem. (English) Zbl 1032.49043 Calc. Var. Partial Differ. Equ. 14, No. 3, 249-274 (2002). Reviewer: M.Fuchs (Saarbrücken) MSC: 49Q10 49J45 49Q20 PDFBibTeX XMLCite \textit{L. De Pascale} and \textit{A. Pratelli}, Calc. Var. Partial Differ. Equ. 14, No. 3, 249--274 (2002; Zbl 1032.49043) Full Text: DOI Link
Mancino, M. E.; Pratelli, L. Some results of stable convergence for exchangeable random variables in Hilbert spaces. (English) Zbl 0981.60022 Theory Probab. Appl. 45, No. 2, 329-337 (2000) and Teor. Veroyatn. Primen. 45, No. 2, 395-403 (2000). Reviewer: Valeriy Koval’ (Shytomyr) MSC: 60F05 PDFBibTeX XMLCite \textit{M. E. Mancino} and \textit{L. Pratelli}, Theory Probab. Appl. 45, No. 2, 329--337 (2000) and Teor. Veroyatn. Primen. 45, No. 2, 395--403 (2000; Zbl 0981.60022) Full Text: DOI
Mancino, Maria Elvira; Pratelli, Luca Skorohod integral for a particular class of nonadapted processes. (English) Zbl 0956.60057 Ital. J. Pure Appl. Math. 2, 121-132 (1997). Reviewer: Rainer Buckdahn (Brest) MSC: 60H05 60H07 PDFBibTeX XMLCite \textit{M. E. Mancino} and \textit{L. Pratelli}, Ital. J. Pure Appl. Math. 2, 121--132 (1997; Zbl 0956.60057)
Letta, Giorgio; Pratelli, Luca Stable convergence to a Gaussian kernel. (Convergence stable vers un noyau gaussien.) (French) Zbl 0953.60004 Rend. Accad. Naz. Sci. XL, Mem. Mat. Appl. (5) 20, 205-213 (1996). Reviewer: M.Iosifescu (Bucureşti) MSC: 60F05 PDFBibTeX XMLCite \textit{G. Letta} and \textit{L. Pratelli}, Rend. Accad. Naz. Sci. XL, Mem. Mat. Appl. (5) 20, 205--213 (1996; Zbl 0953.60004)
Mancino, Mavira; Pratelli, Luca Some convergence properties of the Ogawa integral relative to a martingale. (English) Zbl 0833.60059 Rend. Accad. Naz. Sci. XL, V. Ser., Mem. Mat. 18, No. 1, 89-101 (1994). Reviewer: R.Buckdahn (Brest) MSC: 60H05 PDFBibTeX XMLCite \textit{M. Mancino} and \textit{L. Pratelli}, Rend. Accad. Naz. Sci. XL, V. Ser., Mem. Mat. 18, No. 1, 89--101 (1994; Zbl 0833.60059)
Pratelli, Luca Two counter examples for convergence of anticipative integrals. (Deux contre-exemples sur la convergence d’intégrales anticipatives.) (French) Zbl 0810.60049 Azéma, Jacques (ed.) et al., Séminaire de Probabilités XXVIII. Berlin: Springer-Verlag. Lect. Notes Math. 1583, 110-112 (1994). Reviewer: L.Pratelli (Pisa) MSC: 60H05 PDFBibTeX XMLCite \textit{L. Pratelli}, Lect. Notes Math. 1583, 110--112 (1994; Zbl 0810.60049) Full Text: Numdam EuDML
Pratelli, Luca On the law of large numbers for exchangeable sequences. (Italian) Zbl 0789.60036 Atti Semin. Mat. Fis. Univ. Modena 41, No. 1, 255-259 (1993). Reviewer: R.Scozzafava (Roma) MSC: 60G09 60F15 PDFBibTeX XMLCite \textit{L. Pratelli}, Atti Semin. Mat. Fis. Univ. Modena 41, No. 1, 255--259 (1993; Zbl 0789.60036)
Pratelli, Luca A necessary and sufficient condition for the convergence to the normal distribution. (Une condition nécessaire et suffisante pour la convergence vers la loi normale.) (French) Zbl 0762.60021 Expo. Math. 10, No. 3, 275-284 (1992). Reviewer: V.M.Kruglov (Moskva) MSC: 60F05 PDFBibTeX XMLCite \textit{L. Pratelli}, Expo. Math. 10, No. 3, 275--284 (1992; Zbl 0762.60021)
Pratelli, L. Sur la convergence vers la loi de Poisson. (On the convergence to a Poisson law). (French) Zbl 0751.60024 Ann. Inst. Henri Poincaré, Probab. Stat. 28, No. 2, 151-164 (1992). Reviewer: L.Paditz (Dresden) MSC: 60F05 60B10 60G50 60E07 PDFBibTeX XMLCite \textit{L. Pratelli}, Ann. Inst. Henri Poincaré, Probab. Stat. 28, No. 2, 151--164 (1992; Zbl 0751.60024) Full Text: Numdam EuDML
Pratelli, Luca On strong convergence in \(L^ 1\) for a sequence of Bochner integrable random vectors. (Sur la convergence en moyenne pour des vecteurs aléatoires intégrables au sens de Bochner.) (French. English summary) Zbl 0776.60043 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 3, No. 4, 299-306 (1992). Reviewer: R.J.Tomkins (Regina) MSC: 60F15 60B12 60F25 PDFBibTeX XMLCite \textit{L. Pratelli}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 3, No. 4, 299--306 (1992; Zbl 0776.60043) Full Text: EuDML
Pratelli, Luca A characterization of convergence in \(L^ 1\). Application to quasimartingales. (Une caracterisation de la convergence dans \(L^ 1\). Application aux quasimartingales.) (French) Zbl 0766.60041 Séminaire de probabilités XXVI, Lect. Notes Math. 1526, 61-69 (1992). Reviewer: D.Szynal (Lublin) MSC: 60F25 60G48 PDFBibTeX XMLCite \textit{L. Pratelli}, Lect. Notes Math. 1526, 61--69 (1992; Zbl 0766.60041) Full Text: Numdam EuDML
Letta, Giorgio; Pratelli, Luca On a weak form of changeability. (Sur une forme faible d’échangeabilité.) (French) Zbl 0834.60035 Rend. Accad. Naz. Sci. XL, V. Ser., Mem. Mat. 15, No. 1, 219-227 (1991). Reviewer: G.Orman (Braşov) MSC: 60G09 PDFBibTeX XMLCite \textit{G. Letta} and \textit{L. Pratelli}, Rend. Accad. Naz. Sci. XL, V. Ser., Mem. Mat. 15, No. 1, 219--227 (1991; Zbl 0834.60035)
Letta, Giorgio; Pratelli, Luca Quelques remarques sur les intégrales stochastiques de processus non prévisibles. (Some remarks on stochastic integrals of non-predictible processes). (French) Zbl 0732.60065 Rend. Accad. Naz. Sci. Detta XL, V. Ser. Mem. Mat. 14, No. 1, 183-193 (1990). Reviewer: M.Picconi (Roma) MSC: 60H05 60G07 PDFBibTeX XMLCite \textit{G. Letta} and \textit{L. Pratelli}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 14, No. 1, 183--193 (1990; Zbl 0732.60065)
Pratelli, Luca Sur le lemme de mesurabilité de Doob. (On the measurability lemma of Doob). (French) Zbl 0726.28005 Séminaire de probabilités XXIV 1988/89, Lect. Notes Math. 1426, 46-51 (1990). Reviewer: J.-C.Massé (Quebec) MSC: 28A20 28A05 60G07 PDFBibTeX XML Full Text: Numdam EuDML
Pratelli, Luca La loi des grands nombres pour une suite échangeable. (The law of large numbers for an exchangeable series). (French) Zbl 0731.60024 Séminaire de probabilités XXIII, Lect. Notes Math. 1372, 527-530 (1989). MSC: 60F15 60G09 PDFBibTeX XML Full Text: Numdam EuDML
Pratelli, Luca Invariance des notions de semimartingale et d’intégrale stochastique par un changement d’espace. (Invariance of the notions of semimartingale and stochastic integral to space change). (French) Zbl 0694.60050 Rend. Accad. Naz. Sci. Detta XL, V. Ser. 13, No. 1, 297-305 (1989). Reviewer: B.L.S.Prakasa Rao MSC: 60H05 60G48 PDFBibTeX XMLCite \textit{L. Pratelli}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 13, No. 1, 297--305 (1989; Zbl 0694.60050)
Pratelli, Luca Invariance of a stochastic equation against space change. (Italian. French summary) Zbl 0667.60059 Rend. Accad. Naz. Sci. Detta XL, V. Ser. 12, No. 1, 201-207 (1988). MSC: 60H05 PDFBibTeX XMLCite \textit{L. Pratelli}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 12, No. 1, 201--207 (1988; Zbl 0667.60059)