Author： Xie L. MacNeill I.B.
Publisher： 光谱学与光谱分析编辑部
ISSN： 0038-271X
Source： The South African Statistical Journal, Vol.40, Iss.1, 2006-03, pp. : 33-53
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
Set indexed partial sums of regression residuals obtained from the fit of a regression model to spatial data are used to define the spatial residual process. Limit processes are obtained for these partial sum sets. Statistics are derived for testing a spatial array of observations from a regression model for no change in parameters against possible alternatives involving change of parameters at unknown boundaries. These test statistics are defined in terms of set indexed partial sums, and distributional results based on properties of spatial residual processes are obtained for selected change-boundary statistics. Estimation of the locations of boundaries separating spatial sets of observations is discussed. This methodology is then applied to two sets of data.
Related content
Global uniqueness and Lipschitz stability of residual stressfrom one boundary measurement
ESAIM: Proceedings, Vol. 26, Iss. issue, 2009-01 ,pp. :
Access to resources
Recommend
Bayesian Quickest Detection Problems for Some Diffusion Processes
Advances in Applied Probability, Vol. 45, Iss. 1, 2013-03 ,pp. :
Kernel density estimation for spatial processes: the L 1 theory
Journal of Multivariate Analysis, Vol. 88, Iss. 1, 2004-01 ,pp. :