103 citations · 319 across the 20 of their papers we have counts for
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Minimax testing in a statistical inverse problem with unknown operator
Clément Marteau, Theofanis Sapatinas
We study minimax testing in a statistical inverse problem when the associated operator is unknown. In particular, we consider observations from an inverse Gaussian regression model…
Testing Equality of Spectral Density Operators for Functional Processes
Anne Leucht, Efstathios Paparoditis, Daniel Rademacher +1
The problem of comparing the entire second order structure of two functional processes is considered and a -type statistic for testing equality of the corresponding spectral d…
Testing Equality of Autocovariance Operators for Functional Time Series
Dimitrios Pilavakis, Efstathios Paparoditis, Theofanis Sapatinas
We consider strictly stationary stochastic processes of Hilbert space-valued random variables and focus on fully functional tests for the equality of the lag-zero autocovariance op…
Moving Block and Tapered Block Bootstrap for Functional Time Series with an Application to the K-Sample Mean Problem
Dimitrios Pilavakis, Efstathios Paparoditis, Theofanis Sapatinas
We consider infinite-dimensional Hilbert space-valued random variables that are assumed to be temporal dependent in a broad sense. We prove a central limit theorem for the moving b…
Minimax Goodness-of-Fit Testing in Ill-Posed Inverse Problems with Partially Unknown Operators
Clément Marteau, Theofanis Sapatinas
We consider a Gaussian sequence model that contains ill-posed inverse problems as special cases. We assume that the associated operator is partially unknown in the sense that its s…
Bootstrap-Based K-Sample Testing For Functional Data
Efstathios Paparoditis, Theofanis Sapatinas
We investigate properties of a bootstrap-based methodology for testing hypotheses about equality of certain characteristics of the distributions between different populations in th…