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Ricerca

Interessi di ricerca

Statistica

  • Statistica bayesiana non-parametrica: risultati asintotici
  • Serie storiche: analisi nel dominio dello spettro
  • Modelli lineari spaziali: risultati asintotici e applicazioni

Statistica applicata

Modelli statistici applicati a

  • studi clinici
  • veterinaria
  • conservazione beni culturali

Probabilità

  • random sums, passeggiate aleatorie e principi delle grandi deviazioni
  • processi di Lévy e distribuzioni infinitamente divisibili
  • Distribuzioni sferiche, simmetriche e applicazioni.

Lavori

Pubblicati

  • Donatelli, Marco; Luati, Alessandra; Martinelli, Andrea. Spectral filtering for trend estimation, Atti SIS.
  • Casini, Emanuele; Le Caër, Gérard; Martinelli, Andrea. Short hyperuniform random walks. J. Stat. Phys. 160 (2015), no. 1, 254–273.
  • Carbone, Raffaella; Martinelli, Andrea. Logarithmic Sobolev inequalities in non-commutative algebras. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18 (2015), no. 2, 1550011, 30 pp.
  • Donatelli, Marco; Luati, Alessandra; Martinelli, Andrea. Spectral filtering for trend estimation. Linear Algebra Appl. 473 (2015), 217–235.
  • Casini, Emanuele; Martinelli, Andrea. Characterization and stability of light statistics distributions. J. Math. Anal. Appl. 399 (2013), no. 2, 608–616.
  • Martinelli, Andrea; Ruggiero, Matteo; Walker, Stephen G. A note on convergence rates for posterior distributions via large deviations techniques. Statist. Papers 51 (2010), no. 2, 337–347.
  • Donatelli, M.; Estatico, C.; Martinelli, A.; Serra-Capizzano, S. Improved image deblurring with anti-reflective boundary conditions and re-blurring. Inverse Problems 22 (2006), no. 6, 2035–2053.
  • Buccini, de la Cruz Cabrera, Donatelli, Reichel. “Large-Scale Regression with Non-Convex Loss and Penalty Computational Statistics and Data Analysis”
  • Flor, N. “CT Colonography Evaluation of the Relationship between Colon Anatomy and Diverticula”
  • Leorato, S. “Matrix Spatial Specification models”, accepted

Working papers

  • Casini, E. “Independence characterization and L1 spherical distributions”
  • Martinelli, A. “A new stick breaking prior”

Partecipazione a programmi e convegni

Programmi

  • Invitato al programma “Bayesian Nonparametric Regression: Theory, Methods and Applications”, Isaac Newton Institute, Cambridge, UK (5 agosto 2007 – 24 agosto 2007).
  • Invitato al “Mathematical Imaging and Digital Media program”, National University of Singapore, Singapore (26 maggio 2008 – 20 giugno 2008)

Convegni e workshop

  • “Construction and properties of bayesian non parametric regression models” (6 - 10/08/2007).
  • “7th Workshop on Bayesian Nonparametrics”, 7th Workshop on Bayesian Nonparametrics, Moncalieri (TO), Italy (21 - 25 giugno 2009).
  • “Carlo Alberto Stochastics Workshop”, Moncalieri (TO), Italy (11 giugno 2010).
  • 46TH Scientific Meeting of the Italian Statistical Society, June 20-22, 2012. Rome
  • “The impact of statistical Thinking in economics and life sciences”, Università Bocconi, Milano, 13-15 settembre 2012 “ERCIM conference”, Oviedo (ES), 1-3 December 2012
  • “ISBA World Meeting”, Edinburgh, UK, June 24-29, 2018
  • “12th International Conference on Bayesian Nonparametrics”, Oxford, UK, June 24-28, 2019