most citedOptimally (Distributional-)Robust Kalman Filtering

3 citations · 7 across the 6 of their papers we have counts for

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6 papers

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.ST20101 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.ST20102 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…

stat.CO20101 cited

Optimally Robust Kalman Filtering at Work: AO-, IO-, and Simultaneously IO- and AO- Robust Filters

Peter Ruckdeschel

We take up optimality results for robust Kalman filtering from Ruckdeschel[2001,2010] where robustness is understood in a distributional sense, i.e.; we enlarge the distribution as…

math.ST20103 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…