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Statistical procedures and robust statistics

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  • Davies, P. Laurie

Abstract

It is argued that a main aim of statistics is to produce statistical procedures which in this article are defined as algorithms with inputs and outputs. The structure and properties of such procedures are investigated with special reference to topological and testing considerations. Procedures which work well in a large variety of situations are often based on robust statistical functionals. In the final section some aspects of robust statistics are discussed again with special reference to topology and continuity.

Suggested Citation

  • Davies, P. Laurie, 2002. "Statistical procedures and robust statistics," Technical Reports 2002,54, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200254
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    File URL: https://www.econstor.eu/bitstream/10419/77324/2/2002-54.pdf
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    1. Davies, P. Laurie & Gather, U., 2002. "Breakdown and groups," Technical Reports 2002,57, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
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    Cited by:

    1. Mildenberger, Thoralf, 2006. "A note on the geometry of the multiresolution criterion," Technical Reports 2006,36, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.

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