Linear prediction in functional data analysis

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چکیده

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Providing comprehensive control chart for monitoring of linear and nonlinear profiles using functional data analysis.

Considering profiles as functional variables, two control charts are proposed for their monitoring in phase II. Due to its conformity with the nature of real-world profiles, applying functional model leads to proposed control charts obtained through functional data analysis techniques with desired features. These include simplicity in calculation and possibility of using them for different prof...

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There has been substantial recent work on methods for estimating the slope function in linear regression for functional data analysis. However, as in the case of more conventional finite-dimensional regression, much of the practical interest in the slope centers on its application for the purpose of prediction, rather than on its significance in its own right. We show that the problems of slope...

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2012

ISSN: 0304-4149

DOI: 10.1016/j.spa.2012.06.014