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Beyond axial symmetry: An improved class of models for global data
Author(s) -
Castruccio Stefano,
Genton Marc G.
Publication year - 2014
Publication title -
stat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.61
H-Index - 18
ISSN - 2049-1573
DOI - 10.1002/sta4.44
Subject(s) - axial symmetry , context (archaeology) , parametric statistics , class (philosophy) , symmetry (geometry) , parametric model , domain (mathematical analysis) , rotational symmetry , work (physics) , mathematics , statistical physics , computer science , mathematical analysis , physics , geometry , geology , artificial intelligence , statistics , paleontology , thermodynamics
An important class of models for data on a spherical domain, called axially symmetric, assumes stationarity across longitudes but not across latitudes. The main aim of this work is to introduce a new and more flexible class of models by relaxing the assumption of longitudinal stationarity in the context of regularly gridded climate model output. In this investigation, two other related topics are discussed: the lack of fit of an axially symmetric parametric model compared with a non‐parametric model and to longitudinally reversible processes, an important subclass of axially symmetric models. Copyright © 2014 John Wiley & Sons, Ltd