Dynamic Linear Model Diagnostics
Nov 30 1989
In time series analysis using dynamic linear models, retrospective analysis involves the calculation of filtered, or smoothed, distributions for state parameters in the past. we develop and illustrate novel results that are useful in retrospective assessment of the influence of individual observation on such distributions. In particular, new and computationally simple filtering equations are derived for past state parameters based on leaving out one observation at a time, providing dynamic model based versions of methods currently used in standard, static regression diagnostics.
Keywords:diagnostics, dynamic linear model, influence, jackknife calculations, outliers, smoothing time series