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Time-varying spatio-temporal models by wavelets

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Autor(es):
Chen, Yangyang ; Morettin, Pedro A. ; Chiann, Chang
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION; v. N/A, p. 27-pg., 2025-08-20.
Resumo

The spatio-temporal autoregressive moving average (STARMA) model is frequently used in several studies concerning multivariate stationary time series. However, in practice, the assumption of stationarity is not always guaranteed. One way to proceed is to consider locally stationary processes. In this paper, we propose a time-varying spatio-temporal autoregressive and moving average (tvSTARMA) modelling based on the local stationarity assumption. The time-varying parameters are expanded as linear combinations of wavelet bases, and some procedures are proposed to estimate the coefficients. Some simulations and an application to historical weekly mean temperature records of Western states of the USA are illustrated. (AU)

Processo FAPESP: 19/05917-6 - Novas metodologias em deformação de espaços temporais
Beneficiário:Yangyang Chen
Modalidade de apoio: Bolsas no Brasil - Doutorado Direto
Processo FAPESP: 18/04654-9 - Séries temporais, ondaletas e dados de alta dimensão
Beneficiário:Pedro Alberto Morettin
Modalidade de apoio: Auxílio à Pesquisa - Temático