Full-Scale Approximations of Spatio-Temporal Covariance Models for Large Datasets

Bohai Zhang, Huiyan Sang, Jianhua Z. Huang

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Various continuously-indexed spatio-temporal process models have been constructed to characterize spatio-temporal dependence structures, but the computational complexity for model fitting and predictions grows in a cubic order with the size of dataset and application of such models is not feasible for large datasets. This article extends the full-scale approximation (FSA) approach by Sang and Huang (2012) to the spatio-temporal context to reduce computational complexity. A reversible jump Markov chain Monte Carlo (RJMCMC) algorithm is proposed to select knots automatically from a discrete set of spatio-temporal points. Our approach is applicable to nonseparable and nonstationary spatio-temporal covariance models. We illustrate the effectiveness of our method through simulation experiments and application to an ozone measurement dataset.
Original languageEnglish (US)
Pages (from-to)99-114
Number of pages16
JournalStatistica Sinica
Volume25
Issue number1
DOIs
StatePublished - 2014
Externally publishedYes

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