Sufficient Reduction in Multivariate Surveillance

Marianne Frisén, Eva Andersson, Linus Schiöler
2011 Communications in Statistics - Theory and Methods  
The relation between change points in multivariate surveillance is important but seldom considered. The sufficiency principle is here used to clarify the structure of some problems, to find efficient methods, and to determine appropriate evaluation metrics. We study processes where the changes occur simultaneously or with known time lags. The surveillance of spatial data is one example where known time lags can be of interest. A general version of a theorem for the sufficient reduction of
more » ... reduction of processes that change with known time lags is given. A simulation study illustrates the benefits or the methods based on the sufficient statistics.
doi:10.1080/03610921003714162 fatcat:dpatprnq6zejrogkxmofs3p3yy