9 citations · 24 across the 6 of their papers we have counts for
6 papers
A note on strong-consistency of componentwise ARH(1) predictors
M. D. Ruiz-Medina, J. Alvarez-Liebana
New results on strong-consistency, in the Hilbert-Schmidt and trace operator norms, are obtained, in the parameter estimation of an autoregressive Hilbertian process of order one (…
Strongly consistent autoregressive predictors in abstract Banach spaces
MD Ruiz-Medina, J. Alvarez-Liebana
This work derives new results on strong consistent estimation and prediction for autoregressive processes of order 1 in a separable Banach space B. The consistency results are obta…
Strongly consistent autoregressive predictors in abstract Banach spaces
M. D. Ruiz-Medina, J. Álvarez-Liébana
This work derives new results on strong consistent estimation and prediction for autoregressive processes of order 1 in a separable Banach space B. The consistency results are obta…
A note on strong-consistency of componentwise ARH(1) predictors
M. D. Ruiz-Medina, J. Álvarez-Liébana
This paper presents a new result on strong-consistency, in the trace norm, of a diagonal componentwise parameter estimator of the autocorrelation operator of an autoregressive proc…
Asymptotic properties of a componentwise ARH(1) plug-in predictor
J. Álvarez-Liébana, D. Bosq, M. Dolores Ruiz-Medina
This paper presents new results on prediction of linear processes in function spaces. The autoregressive Hilbertian process framework of order one (ARH(1) process framework) is ado…
Consistency of the plug-in functional predictor of the Ornstein-Uhlenbeck process in Hilbert and Banach spaces
J. Álvarez-Liébana, D. Bosq, M. D. Ruiz-Medina
New results on functional prediction of the Ornstein-Uhlenbeck process in an autoregressive Hilbert-valued and Banach-valued frameworks are derived. Specifically, consistency of th…