Generalization of usual capability indices for unilateral tolerances

dc.creatorGrau, Daniel
dc.date2007-02-27
dc.date.accessioned2026-07-07T08:08:48Z
dc.date.available2026-07-07T08:08:48Z
dc.descriptionCapability indices are dimensionless quantities measuring the aptitude of a process to manufacture items whose characteristics must be within a specified tolerance ranges. The usual indices $C_p$, $C_{pk}$, $C_{pm}$, and $C_{pmk}$ are used for a process of normal distribution and a target located at the center of the tolerance interval. Various indices derived from the previous family allow to consider more complex situations when asymmetrical tolerances and non-normal distributions are taken into account. In this paper we study the case where a single tolerance is imposed because the shifts in the direction of this tolerance appear much more serious than in the opposite direction. We propose a family of four indices having interpretations and properties similar to those of the usual family.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0702841
dc.identifierhttp://arxiv.org/abs/math/0702841
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131388
dc.subjectStatistics Theory
dc.subject46N30
dc.titleGeneralization of usual capability indices for unilateral tolerances
dc.typetext

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