A note on strong-consistency of componentwise ARH(1) predictors
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2019
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Elsevier
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Ruiz-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.
Abstract
New 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.