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On the alignment of multiple time series fragments
Authors:Mukherjee, K.   Shumway, R. H.   Verosub, K. L.
Affiliation:Department of Mathematical Sciences, The University of Liverpool, Liverpool L69 7ZL, U.K.
Abstract:We consider a local least-squares criterion for aligning multipletime series fragments differing by locations and show the consistencyof the time-lag estimator and the asymptotic normality of thelocation estimator. We apply the criterion to the problem ofaligning 50 glacial varve fragments and construct a 3000-yearsurrogate for global temperature.
Keywords:Aligning time series    Asymptotics    Global warming    Lag estimator    Local least-squares    Varve chronology
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