The Gasser-Müller estimator

Convergence of the Gasser-mmller Estimator under -mixing Condition

This paper is devoted to convergence problems of the Gasser-MMller estima-tor for the regression function in a xed-design regression model. We prove the asymptotic normality and rates of uniform strong convergence for this type of estimators under the-mixing condition on the residuals. The proof of strong convergence is based on a Bernstein-type inequality which is very similar to that derived ...

Susan Gasser

submersible's spotlights as a slow-motion blizzard of mucus. Indeed, the biologists on this trip say they probably identified a dozen new species. (They need to double-check with their Russian colleagues, who have been at this business a lot longer and who have a literature that's both rich and hard to access). They're on the frontier of marine biology. The US Coast Guard provided the icebreake...

Review of Georg Gasser, ed., How Successful Is Naturalism?

Minimax A- and D-optimal integer-valued wavelet designs for estimation

Abstract: The author discusses integer-valued designs for wavelet estimation of nonparametric response curves in the possible presence of heteroscedastic noise using a modified wavelet version of the Gasser– Müller kernel estimator or weighted least squares estimation. The designs are constructed using a minimax treatment and the simulated annealing algorithm. The author presents designs for th...

The Müller-Lyer figure and the fly.

In the Müller-Lyer illusion two horizontal line segments of equal length are perceived by humans as unequal. The gaze of a fly presented with Müller-Lyer figures corresponds to human eye movements and human (illusionary) evaluations of the segment lengths. It is suggested that a theory similar to the phenomenological theory which accounts for the fly's gaze may account for the human eye's movem...