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A general class of capability indices in the case of asymmetric tolerances
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.
1997 (engelsk)Inngår i: Communications in Statistics - Theory and Methods, ISSN 0361-0926, E-ISSN 1532-415X, Vol. 26, nr 8, s. 2049-2072Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Vännman has earlier studied a class of capability indices, containing the indices Cp, Cpk, Cpm, and Cpmk, when the tolerances are symmetric. We study the properties of this class when the tolerances are asymmetric and suggest a new enlargened class of indices. Under the assumption of normality an explicit form of the distribution of the new class of the estimated indices is provided. Numerical investigations are made to explore the behavior of the estimators of the indices for different values of the parameters. Based on the estimator a decision rule that can be used to determine whether the process can be considered capable or not is provided and suitable criteria for choosing an index from the family are suggested.

sted, utgiver, år, opplag, sider
1997. Vol. 26, nr 8, s. 2049-2072
HSV kategori
Forskningsprogram
Matematisk statistik inriktning industriell statistik
Identifikatorer
URN: urn:nbn:se:ltu:diva-3807Lokal ID: 1a50e200-c0ba-11db-834c-000ea68e967bOAI: oai:DiVA.org:ltu-3807DiVA, id: diva2:976668
Merknad
Godkänd; 1997; 20070220 (evan)Tilgjengelig fra: 2016-09-29 Laget: 2016-09-29 Sist oppdatert: 2017-11-24bibliografisk kontrollert

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