Browsing by Author "Petsa, A."
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Article
Adaptive quadratic functional estimation of a weighted density by model selection
Petsa, A.; Sapatinas, Theofanis (2010)We consider the problem of estimating the integral of the square of a probability density function f on the basis of a random sample from a weighted distribution. Specifically, using model selection via a penalized criterion, ...
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Article
Erratum to: "Minimax convergence rates under the Lp-risk in the functional deconvolution model" [Statist. Probab. Lett. 79 (2009) 1568-1576] (DOI:10.1016/j.spl.2009.03.028)
Petsa, A.; Sapatinas, Theofanis (2009)
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Article
Minimax convergence rates under the Lp-risk in the functional deconvolution model
Petsa, A.; Sapatinas, Theofanis (2009)We derive minimax results in the functional deconvolution model under the Lp-risk, 1 ≤ p < ∞. Lower bounds are given when the unknown response function is assumed to belong to a Besov ball and under appropriate smoothness ...
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Article
On Bayesian testimation and its application to wavelet thresholding
Abramovich, F.; Grinshtein, V.; Petsa, A.; Sapatinas, Theofanis (2010)We consider the problem of estimating the unknown response function in the Gaussian white noise model. We first utilize the recently developed Bayesian maximum a posteriori testimation procedure of Abramovich et al. (2007) ...
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Article
On the estimation of the function and its derivatives in nonparametric regression: A bayesian testimation approach
Petsa, A.; Sapatinas, Theofanis (2011)We consider the problem of estimating the unknown response function and its deriva- tives in the standard nonparametric regression model. Recently, Abramovich et al. (2010) applied a Bayesian testimation procedure in a ...