Vecchia approximation

Apr 26, 2026 - 20:41

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Ordering: Fixed grammar

← Previous revision		Revision as of 15:10, 26 April 2026
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	=== Ordering ===		=== Ordering ===

	It has been widely noted that the original lexicographic ordering based on coordinates when $\mathcal{S}$ is two-dimensional produces poor results.{{cite book\|author1=Sudipto Banerjee\|author2=Bradley P. Carlin\|author3=Alan E. Gelfand\|title=Hierarchical Modeling and Analysis for Spatial Data, Second Edition\|url=https://books.google.com/books?id=zNLhAwAAQBAJ\|date=12 September 2014\|publisher=CRC Press\|isbn=978-1-4398-1917-3}} More recently ~~another~~ orderings have been proposed, some of which ensure that points are ordered in a quasi-random fashion. Highly scalable, they have been shown to also drastically improve accuracy.		It has been widely noted that the original lexicographic ordering based on coordinates when $\mathcal{S}$ is two-dimensional produces poor results.{{cite book\|author1=Sudipto Banerjee\|author2=Bradley P. Carlin\|author3=Alan E. Gelfand\|title=Hierarchical Modeling and Analysis for Spatial Data, Second Edition\|url=https://books.google.com/books?id=zNLhAwAAQBAJ\|date=12 September 2014\|publisher=CRC Press\|isbn=978-1-4398-1917-3}} More recently other orderings have been proposed, some of which ensure that points are ordered in a quasi-random fashion. Highly scalable, they have been shown to also drastically improve accuracy.

	=== Conditioning ===		=== Conditioning ===