Electricity consumption prediction with functional linear regression using spline estimators

By J. Antoch, Lubos Prchal, Maria Rosaria De Rosa, Pascal Sarda. 2010

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Asymptotics of prediction in functional linear regression with functional outputs (2009, methodology): “With the second part of the sample, we compute another estimator Ŝ[2] of S and with the last part of the sample, we approximate the term (Ŝ(Xn+1) − S(Xn+1)) ⊗ (Ŝ(Xn+1) − S(Xn+1)), with 1 2 (Ŝ [1](Xn+1) − Ŝ[2](Xn+1)) ⊗ (Ŝ[1](Xn+1) − Ŝ[2](Xn+1)) which allows to build an unbiased estimator of σ 2 ε , g”
Modeling and forecasting electricity spot prices: A functional data perspective (2013, methodology): “For example, there is a vast literature on modeling and forecasting electricity demand; see, for example, Ferraty and Vieu (2006) and Antoch et al. (2010).”
Multivariate analysis of variance for functional data (2017, methodology): “Particular problems considered in functional data analysis include canonical correlation analysis [29,30,33], cluster analysis [27,49], confidence intervals [32], discriminant analysis [4,18,47], linear and nonlinear models [3,15,35], the one-way ANOVAproblem [12,14,20,25,26,50,51], principal compon”