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20092025
most citedRobust Kalman tracking and smoothing with propagating and non-propagating outliers

39 citations · 90 across the 18 of their papers we have counts for

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8 papers · 1 filter

math.ST2019★ 2 cited

The column measure and Gradient-Free Gradient Boosting

Tino Werner, Peter Ruckdeschel

Sparse model selection by structural risk minimization leads to a set of a few predictors, ideally a subset of the true predictors. This selection clearly depends on the underlying…

math.ST2012★ 39 cited

Robust Kalman tracking and smoothing with propagating and non-propagating outliers

Peter Ruckdeschel, Bernhard Spangl, Daria Pupashenko

A common situation in filtering where classical Kalman filtering does not perform particularly well is tracking in the presence of propagating outliers. This calls for robustness u…

math.ST2010

Consequences of Higher Order Asymptotics for the MSE of M-estimators on Neighborhoods

Peter Ruckdeschel

In Ruckdeschel[10], we derive an asymptotic expansion of the maximal mean squared error (MSE) of location M-estimators on suitably thinned out, shrinking gross error neighborhoods.…

math.ST2010★ 1 cited

Higher order asymptotics for the MSE of the sample median on shrinking neighborhoods

Peter Ruckdeschel

We provide an asymptotic expansion of the maximal mean squared error (MSE) of the sample median to be attained on shrinking gross error neighborhoods about an ideal central distrib…

math.ST2010★ 2 cited

Higher Order Expansion for the MSE of M-estimators on shrinking neighborhoods

Peter Ruckdeschel

We consider estimation of a one-dimensional location parameter by means of M-estimators S_n with monotone influence curve psi. For growing sample size n, on suitably thinned out co…

math.ST2010

Fisher Information in Group-Type Models

Peter Ruckdeschel

In proofs of L_2-differentiability, Lebesgue densities of a central distribution are often assumed right from the beginning. Generalizing Theorem 4.2 of Huber[81], we show that in…

math.ST2010★ 4 cited

Fisher Information of Scale

Peter Ruckdeschel, Helmut Rieder

Motivated by the information bound for the asymptotic variance of M-estimates for scale, we define Fisher information of scale of any distribution function F on the real line as a…

math.ST2010★ 3 cited

Optimally (Distributional-)Robust Kalman Filtering

Peter Ruckdeschel

We present optimality results for robust Kalman filtering where robustness is understood in a distributional sense, i.e.; we enlarge the distribution assumptions made in the ideal…