2007/02/27 by Daniel Grau, Grau, Daniel
Decision Sciences · Mathematics · #46N30 #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #FOS: Mathematics #Optimal Experimental Design Methods #Statistics Theory (math.ST) #math.ST #msc:46N30 #stat.TH
paper · pdf · doi:10.48550/arxiv.math/0702841
16 pages
arxiv created 2007/02/27 · openalex publication_date 2007/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Capability 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 Cp, Cpk, Cpm, and Cpmk 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.