Dept. of Statistics & OR, UNC-CH
Hanes Hall, CB#3260
Chapel Hill, NC 27599
Phone: 919 843-2430
Fax: 919 962-0391
Email: pipiras at email dot unc dot edu
Ph.D. (2002), Department of Mathematics and Statistics, Boston University
D.E.A. (1997), Laboratoire de Probabilites et Modeles Aleatoires, University of Paris 6, France
B.Sc. (1996), Department of Mathematics and Informatics, Vilnius University, Lithuania
2012 - present: Professor, Department of Statistics and OR, UNC-Chapel Hill
2010 - present: Director, Mathematical Decision Sciences, UNC-Chapel Hill
2007 - 2012: Associate Professor, Department of Statistics and OR, UNC-Chapel Hill
2002 - 2007: Assistant Professor, Department of Statistics and OR, UNC-Chapel Hill
2008 - 2010: Ciencia 2007 Researcher, Center of Mathematics and Its Applications, Instituto Superior Tecnico, Portugal
Long-range dependence, self-similarity, fractional Brownian motion
Heavy tails, extreme-value theory, stable distributions
Models and inference for multifractals
Other problems in Probability and Statistics:
Inverse problems, sampling algorithms
High-dimensional time series
Introduction to Statistics, Spring 2014.
Measure Theory and Integration, Fall 2013.
Advanced Probability: Weak Convergence, Empirical Processes, Fall 2013.
Courses taught in the past
Ideas for undergraduate probability course
DataFest 2013: Poster
DataFest 2014: Poster
Gustavo Didier (graduated in 2007)
Changryong Baek (graduated in 2010)
Ritwik Chaudhuri (started in Fall 2010)
Stefanos Kechagias (started in Fall 2011)
"Measure and Probability Theory" (with S. Cambanis and M. R. Leadbetter). Cambridge University Press, Forthcoming in 2013. Contents
"Long-Range Dependence and Self-Similarity" (with M. S. Taqqu).
Cambridge University Press, Forthcoming in 2014. Contents (as of November 15, 2013). Introductory chapter
"Integration questions related to fractional Brownian motion" (with M. S. Taqqu).
Probability Theory and Related Fields 118 (2000) 251-291.
"The structure of self-similar stable mixed moving averages" (with M. S. Taqqu).
The Annals of Probability 30 (2002) 898-932.
"Wavelet-based simulation of fractional Brownian motion revisited".
Applied and Computational Harmonic Analysis 19(1) (2005) 49-60.
"Gaussian stationary processes: adaptive wavelet decompositions, discrete approximations
and their convergence" (with G. Didier). Journal of Fourier Analysis and Applications 14
"Multifractal random walks as fractional Wiener integrals" (with P. Abry, P. Chainais and L. Coutin).
IEEE Transactions on Information Theory 55 (2009) 3825-3846.
"Second order properties of distribution tails and estimation of tail exponents in
random difference equations" (with C. Baek, H. Wendt and P. Abry).
Extremes 12 (2009) 361-400.
"Synthesis of multivariate stationary series
with prescribed marginal distributions and covariance using circulant matrix embedding"
(with H. Helgason and P. Abry). Signal Processing 91 (2011) 1741-1758.
"Integral representations and properties of operator fractional Brownian motions" (with G. Didier).
Bernoulli 17 (2011) 1-33.
"Local and global rank tests for multivariate varying-coefficient models"
(with S. Donald and N. Fortuna). Journal of Business and Economic Statistics
29 (2011) 295-306.
"Probabilistic sampling of finite renewal processes" (with N. Antunes). Bernoulli 17 (2011) 1285-1326.
"Statistical tests for a single change in mean against long-range dependence" (with C. Baek).
Journal of Time Series Analysis 33 (2012) 131–151.
"Long-range dependence of the two-dimensional Ising model at critical temperature" (with M. S. Taqqu).
All published or accepted research papers
Recent talks and posters
Some Matlab code
Conference on long-range dependence, self-similarity and heavy tails, April 2012
Meeting on multifractal analysis: from theory to applications and back, February 2014
Editorial work: Advances in Statistics,
Journal of Probability and Statistics
Stat & OR Homepage