Forecasting with unequally spaced data by a functional principal component approach

被引:22
作者
Aguilera, AM [1 ]
Ocaña, FA
Valderrama, MJ
机构
[1] Univ Granada, Fac Ciencias, Dpto Estadist & IO, E-18071 Granada, Spain
[2] Univ Granada, Fac Farm, Dept Estadist & Invest Operat, Granada, Spain
关键词
Karhunen-Loeve expansion; least-squares linear prediction; orthogonal projection; principal components;
D O I
10.1007/BF02595871
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The Principal Component Regression model of multiple responses is extended to forecast a continuous-time stochastic process. Orthogonal projection on a subspace of trigonometric functions is applied in order to estimate the principal components using discrete-time observations from a sample of regular curves. The forecasts provided by this approach are compared with classical principal component regression on simulated data.
引用
收藏
页码:233 / 253
页数:21
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