ON THE LINEAR PREDICTION OF MULTIVARIATE (2,P)-BOUNDED PROCESSES

被引:3
作者
HOUDRE, C
机构
关键词
LINEAR PREDICTION; NONSTATIONARY PROCESSES; WIENER AND KALMAN FILTERING;
D O I
10.1214/aop/1176990454
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
We develop the linear least squares prediction theory for some classes of nonstationary processes having a Fourier spectral representation. We study time domain as well as spectral domain properties for these processes, such as a Wold decomposition and a decomposition for matrix bimeasures. We also obtain an autoregressive representation for the optimum predictor.
引用
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页码:843 / 867
页数:25
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