IEEE Transactions on Acoustics Speech and Signal Processing · 1989 · 104 citations · 18 references
Order TheoryOrder Statistic FiltersStatistical Signal ProcessingEngineeringFiltering TechniqueFilter (Signal Processing)Impulsive TypeSignal ProcessingStatistical InferenceProbability TheorySpurious OutliersDigital FilterFiltersStatisticsFilter Design
The Ll-filters are introduced to generate the order statistic filters (L-filters) and the nonrecursive linear, or finite-duration impulse-response (FIR), filters. Such estimators are particularly effective filtering signals that do not necessarily follow Gaussian distributions. They can be designed to restore one-dimensional or multidimensional signals corrupted by noise of impulsive type. Such filters are appealing since they are suitable for being made robust against the presence of spurious outliers in the data.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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The Advanced Theory of Statistics
S. L., M. G. Kendall, A. Stuart · Population · 1963 · 1.8K citations
Engineering, Statistical Foundation, Statistical Inference +5
Mathematical Methods of Statistics.
F. N. David, H. Cramer · Biometrika · 1947 · 1.8K citations
Statistical Inference, Statistical Science, Mathematical Statistic +2
A General Qualitative Definition of Robustness
Frank R. Hampel · The Annals of Mathematical Statistics · 1971 · 985 citations · Full text