Strong unimodality and scale mixtures
Copyright policy )Strong unimodality and scale mixtures
It is known that the asymptotically optimal L-estimator has non-negative weights if and only if the underlying density is strongly unimodal. Since the Tukey model is often used to model data containing gross errors, it is of interest to know when such densities are strongly unimodal. This paper examines the question more generally for a large class of scale mixtures. A simple necessary and sufficient condition is given in the case of the Tukey model.
- University of Wisconsin–Madison United States
- University of Wisconsin–Oshkosh United States
asymptotically optimal L-estimator, strong unimodality, Point estimation, Robustness and adaptive procedures (parametric inference), Tukey model, gross errors, scale mixtures
asymptotically optimal L-estimator, strong unimodality, Point estimation, Robustness and adaptive procedures (parametric inference), Tukey model, gross errors, scale mixtures
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!