Ruiz Medina, María DoloresÁlvarez Liébana, Javier2024-01-302024-01-302019Ruiz-Medina y Álvarez-Liébana (2019) «A note on strong-consistency of componentwise ARH(1) predictors», Statistics and Probability Letters, 145, pp. 224-228. doi:10.1016/J.SPL.2018.09.004.0167-715210.1016/J.SPL.2018.09.004https://hdl.handle.net/20.500.14352/96307New results on strong-consistency in the trace operator norm are obtained, in the parameter estimation of an autoregressive Hilbertian process of order one (ARH(1) process). Additionally, a strongly-consistent diagonal componentwise estimator of the autocorrelation operator is derived, based on its empirical singular value decomposition.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/journal articlehttps://doi.org/10.1016/J.SPL.2018.09.004https://www.sciencedirect.com/science/article/pii/S0167715218303031?via%3Dihubrestricted access519.8Dimension reduction techniquesEmpirical orthogonal basesFunctional predictionStrong-consistencyTrace normInvestigación operativa (Estadística)1207 Investigación Operativa