Broadly speaking, mathematical statistics motivated by/applied to the natural sciences. In particular:


Papers

Panaretos, V.M. & Zemel, Y. (2018).
Statistical Aspects of Wasserstein Distances.
arXiv:1806.05500

Masarotto, M., Panaretos, V.M., & Zemel, Y. (2018).
Procrustes metrics on covariance operators and optimal transportation of Gaussian processes.
arXiv:1801.01990

Chakraborty, A. & Panaretos, V.M. (2017).
Regression with genuinely functional errors-in-covariates .
arXiv:1712.04290.

Chakraborty, A. & Panaretos, V.M. (2017).
Functional Registration and Local Variations.
arXiv:1702.03556.

Descary, M.-H. & Panaretos, V.M. (2017).
Recovering Covariance from Functional Fragments.
Biometrika, to appear.

Chakraborty, A. & Panaretos, V.M. (2016).
Hybrid Regularisation of Functional Linear Models.
Bernoulli, to appear.

Descary, M.-H. & Panaretos, V.M. (2016).
Functional Data Analysis by Matrix Completion.
Annals of Statistics, to appear.

Zemel, Y. & Panaretos, V.M. (2016).
Fréchet Means and Procrustes Analysis in Wasserstein Space.
Bernoulli, to appear.

Pham, T. & Panaretos, V.M. (2016).
Methodology and Convergence Rates for Functional Time Series Regression.
Statistica Sinica (Special Issue in Memory of Peter Hall), to appear.

Wei, S. & Panaretos, V.M. (2018).
Empirical Evolution Equations.
Electronic Journal of Statistics, 12 (1): 249-276.

Tavakoli, S. & Panaretos, V.M. (2016).
Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics.
Journal of the American Statistical Association (Applications and Case Studies), 111 (515): 1020-1035.

Panaretos, V.M. & Zemel, Y. (2016).
Amplitude and Phase Variation of Point Processes.
Annals of Statistics, 44 (2): 771-812.

Kuusela, M. & Panaretos, V.M. (2015).
Statistical Unfolding of Elementary Particle Spectra: Empirical Bayes Estimation and Bias-Corrected Uncertainty Quantification.
Annals of Applied Statistics, 9 (3): 1671-1705.

Panaretos, V.M., Pham, T. & Yao, Z. (2014).
Principal Flows.
Journal of the American Statistical Association (Theory and Methods), 109 (505): 424-436.

Kraus, A. & Panaretos, V.M. (2014).
Frequentist Estimation of an Epidemic's Spreading Potential When Observations Are Scarce.
Biometrika, 101 (1): 141-154.

Panaretos, V.M. & Tavakoli, S. (2013).
Cramér-Karhunen-Loève Representation and Harmonic Principal Component Analysis of Functional Time Series.
Stochastic Processes and their Applications, 123 (7), 2779-2807..

(Invited Contribution, Special Issue on the Occasion of the 2013 International Year of Statistics)

Panaretos, V.M. & Tavakoli, S. (2013).
Fourier Analysis of Stationary Time Series in Function Space.
Annals of Statistics, 41 (2): 568-603.

[Supplementary material (34 pages), Annals of Statistics (2013)]

Kraus, D. & Panaretos, V.M. (2012).
Dispersion Operators and Resistant Second-Order Analysis of Functional Data.
Biometrika, 99 (4): 813-832.

[Supplementary material (8 pages), Biometrika (2012)]

Panaretos, V.M. & Konis, K. (2012).
Nonparametric Construction of Multivariate Kernels.
Journal of the American Statistical Association (Theory and Methods), 107 (499): 1085-1095.

Kvitkovicova, A. & Panaretos, V.M. (2011).
Asymptotic Inference for Partially Observed Branching Processes.
Advances in Applied Probability, 43 (4): 1166-1190 .

Panaretos, V.M. & Konis, K. (2011).
Sparse Approximations of Protein Structure given Noisy Random Projections.
Annals of Applied Statistics, 5 (4): 2572-2602.

Panaretos, V.M. (2011).
A Conversation with David R. Brillinger.
Statistical Science, 26 (3): 440-469.

Panaretos, V.M., Kraus, D. & Maddocks, J.H. (2010).
Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles.
Journal of the American Statistical Association (Theory and Methods), 105 (490): 670-682.

[Supplementary material (19 pages), Journal of the American Statistical Association (2010)]

Panaretos, V.M. (2009).
On Random Tomography with Unobservable Projection Angles.
Annals of Statistics, 37 (6): 3272-3306.

Panaretos, V.M. (2008).
Representation of Radon Shape Diffusions via Hyperspherical Brownian Motion.
Mathematical Proceedings of the Cambridge Philosophical Society, 145 (2): 457-470.

Panaretos, V.M. (2007).
Partially Observed Branching Processes for Stochastic Epidemics.
Journal of Mathematical Biology, 54 (5): 645-668.

Panaretos, V.M. (2006).
The Diffusion of Radon Shape.
Advances in Applied Probability (SGSA), 38 (2): 320-335.

Books

Panaretos, V.M. & Zemel, Y. (2018).
Introduction to Statistics in Wasserstein Spaces.
Springer Briefs in Probability & Mathematical Statistics (forthcoming).

Panaretos, V.M. (2016).
Statistics for Mathematicians: a Rigorous First Course.
Compact Textbooks in Mathematics, Birkhauser.

Panaretos, V.M. (2016).
Statistique pour mathématiciens : un premier cours rigoureux.
PPUR.

Book Chapters

Panaretos, V.M. (2011).
Commentary on David R. Brillinger's Theoretical Papers.
In The Selected Works of D.R. Brillinger (P. Guttorp, editor), Springer, NY.

Refereed Conference Proceedings

Panaretos, V.M. (2011).
A Statistician's View on Deconvolution and Unfolding.
In Proceedings of the PHYSTAT 2011Workshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding (H.B. Prosper, L. Lyons, editors), CERN, Geneva.