Estimation of a Common Group Delay Between Two Multiple Time Series
提出一种在树轮年代学中估计两组时间序列之间共同群延迟的方法,该延迟在特定频段内恒定,并研究了估计的渐近性质。
Abstract The group delay at frequency λ between two univariate time series represents the time lag of the harmonic component at frequency λ of the first series behind the corresponding harmonic component of the second series. This article proposes an estimate of group delay under conditions that arise in dendrochronology where each of A tree ring time series shares a common group delay with each of B other tree ring time series and where the common group delay is constant over a frequency band. The asymptotic properties of the estimation procedure are investigated, and the application of the procedure to dendrochronology is emphasized and illustrated.