Axel Munk

most citedScale space consistency of piecewise constant least squares estimators -- another look at the regressogram

18 citations · 18 across the 2 of their papers we have counts for

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math.ST2008

Jump estimation in inverse regression

Leif Boysen, Axel Munk

We consider estimation of a step function $f$ from noisy observations of a deconvolution $ϕ * f$ , where $ϕ$ is some bounded $L_{1}$ -function. We use a penalized least squares estimator…

math.ST2006★ 18 cited

Scale space consistency of piecewise constant least squares estimators -- another look at the regressogram

Leif Boysen, Volkmar Liebscher, Axel Munk +1

We study the asymptotic behavior of piecewise constant least squares regression estimates, when the number of partitions of the estimate is penalized. We show that the estimator is…