Open Conference Systems, 50th Scientific meeting of the Italian Statistical Society

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A functional regression control chart for profile monitoring
Fabio Centofanti, Antonio Lepore, Alessandra Menafoglio, Biagio Palumbo, Simone Vantini

Last modified: 2018-05-10

Abstract


In many applications, profile monitoring techniques are needed when the quality characteristic under control can be modeled as a function. Moreover, measures of other functional covariates are often available together with the functional quality characteristic. To combine the information coming from all the measures attainable, a new functional control chart is proposed for profile monitoring. It relies on the residuals of a function-on-function linear regression of the quality characteristic on the functional covariates. The effectiveness of the proposed monitoring scheme is illustrated on a real-case study about the monitoring of CO2 emissions from a Ro-Pax ship owned by the shipping company Grimaldi Group.

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