Distributional Kalman filters for Bayesian forecasting and closed form recurrences
Over the last 50 years there has been an enormous explosion in developing full distributional analogues of the Kalman filter. In this paper we explore how some of the second-order processes discovered by Kalman have their analogues in Bayesian state space models. Many of the analogues in the lierature need to be calculated using numerical methods like Markov chain Monte Carlo so they retain, or even enhance, the descriptive power of the Kalman filter, but at the cost of reduced transparency. However, if the analogues are drawn properly, elegant recurrence relationships—like those of the Kalman filter—can still be developed that apply, at least, for one‐step‐ahead forecast distributions. In this paper we explore the variety of ways such models have been built, in particular with respect to graphical time series models. Copyright (C) 2010 John Wiley & Sons, Ltd.
Volume (Year): 30 (2011)
Issue (Month): 1 (January)
|Contact details of provider:|| Web page: http://www3.interscience.wiley.com/cgi-bin/jhome/2966|
When requesting a correction, please mention this item's handle: RePEc:jof:jforec:v:30:y:2011:i:1:p:210-224. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing)or (Christopher F. Baum)
If references are entirely missing, you can add them using this form.