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math.ST2026
Csiszár indices and interpolating copulas
Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1
We study various properties of -divergences and Csiszár indices between two probability distributions in very general setups for the convex function and for the probability…
math.ST2026
Nonparametric spectral density estimation using interactive mechanisms under local differential privacy
Cristina Butucea, Karolina Klockmann, Tatyana Krivobokova
We study the problem of estimating the spectral density of a centered stationary Gaussian time series under local differential privacy constraints. Specifically, we propose new int…
math.ST2025
Asymptotic Equivalence of Locally Stationary Processes and Bivariate White Noise
Cristina Butucea, Alexander Meister, Angelika Rohde
We consider a general class of statistical experiments, in which an -dimensional centered Gaussian random variable is observed and its covariance matrix is the parameter of inte…