Journal
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
Volume 86, Issue 12, Pages 2411-2428Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00949655.2015.1112391
Keywords
Functional boxplot; functional depth; multivariate functional data; multivariate functional principal component analysis; nonlinear profiles; process capability indices
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Process capability indices measure the ability of a process to provide products that meet certain specifications. Few references deal with the capability of a process characterized by a functional relationship between a response variable and one or more explanatory variables, which is called profile. Specifically, there is not any reference analysing the capability of processes characterized by multivariate nonlinear profiles. In this paper, we propose a method to measure the capability of these processes, based on principal components for multivariate functional data and the concept of functional depth. A simulation study is conducted to assess the performance of the proposed method. An example from the sugar production illustrates the applicability of this approach.
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