Abstract
Many classes of nonlinear filters are based on the field of robust estimation and especially on order statistics. Both of these fields have been developed by statisticians in the last three decades and they have now reached maturity. In this chapter an introduction to robust statistics and order statistics will be given, as a mathematical preliminary to nonlinear filters. The interested reader can find more information in specialized books [1–5].
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Pitas, I., Venetsanopoulos, A.N. (1990). Statistical Preliminaries. In: Nonlinear Digital Filters. The Springer International Series in Engineering and Computer Science, vol 84. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6017-0_2
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DOI: https://doi.org/10.1007/978-1-4757-6017-0_2
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