Full-Scale Approximations of Spatio-Temporal Covariance Models for Large Datasets
Type
ArticleKAUST Grant Number
KUS-CI-016-04Date
2014Permanent link to this record
http://hdl.handle.net/10754/598377
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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.Citation
Zhang B, Sang H, Huang JZ (2014) Full-Scale Approximations of Spatio-Temporal Covariance Models for Large Datasets. STAT SINICA. Available: http://dx.doi.org/10.5705/ss.2013.260w.Sponsors
This work was partially supported by NSF grant DMS-1007618, NSF grant EARS-1343155, and Award Number KUS-CI-016-04 made by King Abdullah University of Science and Technology (KAUST). Huang's work was also partially supported by NSF grant DMS-1208952.Publisher
Institute of Statistical ScienceJournal
Statistica Sinicaae974a485f413a2113503eed53cd6c53
10.5705/ss.2013.260w