103 citations · 319 across the 20 of their papers we have counts for
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Some new approaches to infinite divisibility
Theofanis Sapatinas, Damodar N. Shanbhag, Arjun K. Gupta
Using an approach based, amongst other things, on Proposition 1 of Kaluza (1928), Goldie (1967) and, using a different approach based especially on zeros of polynomials, Steutel (1…
Nonparametric Regression Estimation Based on Spatially Inhomogeneous Data: Minimax Global Convergence Rates and Adaptivity
Anestis Antoniadis, Marianna Pensky, Theofanis Sapatinas
We consider the nonparametric regression estimation problem of recovering an unknown response function f on the basis of spatially inhomogeneous data when the design points follow…
Minimax nonparametric testing in a problem related to the Radon transform
Yuri I. Ingster, Theofanis Sapatinas, Irina A. Suslina
We consider the detection problem of a two-dimensional function from noisy observations of its integrals over lines. We study both rate and sharp asymptotics for the error probabil…
Multichannel Boxcar Deconvolution with Growing Number of Channels
Marianna Pensky, Theofanis Sapatinas
We consider the problem of estimating the unknown response function in the multichannel deconvolution model with a boxcar-like kernel which is of particular interest in signal proc…