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Cubic spline for the functional treatment of the global solar radiation

Abstract:

The article shows the calculation of cubic splines that defines the behavior of the global solar radiation on a high Andean equatorial location. The spline smoothing is developed in a normed orthogonal functional space, where the discretized data (ti,xi) are transformed into functions X(t). The analysis of univariate and multivariate data allows studying natural phenomena from finite sets of numerical values. Data collection involves not only getting values, but also includes the processes or functions that give rise to them. Bootstrap resampling was used for detecting outliers with which annual, month and by climatic periods averages are obtained. Functional monthly averages of global solar radiation show the presence of two forms of behavior during the period studied.