116 citations · 134 across the 3 of their papers we have counts for
3 papers
math.ST2009★ 116 cited
Consistencies and rates of convergence of jump-penalized least squares estimators
Leif Boysen, Angela Kempe, Volkmar Liebscher +2
We study the asymptotics for jump-penalized least squares regression aiming at approximating a regression function by piecewise constant functions. Besides conventional consistency…
math.ST2008
Jump estimation in inverse regression
Leif Boysen, Axel Munk
We consider estimation of a step function from noisy observations of a deconvolution , where is some bounded -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…