Unit canonical correlations between future and past
From MaRDI portal
Publication:1104009
DOI10.1214/aos/1176350836zbMath0646.62082OpenAlexW2024942135MaRDI QIDQ1104009
Publication date: 1988
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176350836
futureHardy spacesnumber of zerosHankel matrixcanonical correlationsMcMillan degreeKronecker indicespastautoregressive moving average processesfull rankn-dimensional stationary ARMA processstationary vector processunit correlations
Inference from stochastic processes and prediction (62M20) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Stationary stochastic processes (60G10) Prediction theory (aspects of stochastic processes) (60G25)
Related Items
Canonical correlation and reduction of multiple time series ⋮ All-pass matrices, the positive real lemma, and unit canonical correlations between future and past ⋮ Data-driven predictive control in a stochastic setting: a unified framework ⋮ The asymptotic variance of subspace estimates. ⋮ State-Space Analysis of Granger-Geweke Causality Measures with Application to fMRI ⋮ On the ill-conditioning of subspace identification with inputs ⋮ Numerical conditioning and asymptotic variance of subspace estimates ⋮ A note on Hankel approximation of all-pass functions ⋮ Subspace identification by data orthogonalization and model decoupling ⋮ STATIONARY PROCESSES WITH A FINITE NUMBER OF NON‐ZERO CANONICAL CORRELATIONS BETWEEN FUTURE AND PAST ⋮ Consistency analysis of some closed-loop subspace identification methods ⋮ Geometric and long run aspects of Granger causality ⋮ Departure from normality of increasing-dimension martingales ⋮ Subspace identification of closed loop systems by the orthogonal decomposition method