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Multivariate Non‐parametric Tolerance Regions: A New Construction Technique
Author(s) -
Ackermann H.
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250404
Subject(s) - continuation , multivariate statistics , ackermann function , parametric statistics , construct (python library) , mathematics , scale (ratio) , function (biology) , multivariate analysis , statistics , computer science , inverse , geography , geometry , cartography , evolutionary biology , biology , programming language
In continuation of the work by Abt (1977, 1982) and Ackermann (1980) a new construction technique is proposed to construct multivariate non‐parametric tolerance regions based on the higher‐dimensional correlations among the N variables under consideration. The scale‐independency of the method is shown and a decision function is described to decide whether a given point lies within such a tolerance region or not. The method is discussed using the data of a clinical example.