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On the two-filter approximations of marginal smoothing distributions in general state-space models
Published online by Cambridge University Press: 20 March 2018
Abstract
A prevalent problem in general state-space models is the approximation of the smoothing distribution of a state conditional on the observations from the past, the present, and the future. The aim of this paper is to provide a rigorous analysis of such approximations of smoothed distributions provided by the two-filter algorithms. We extend the results available for the approximation of smoothing distributions to these two-filter approaches which combine a forward filter approximating the filtering distributions with a backward information filter approximating a quantity proportional to the posterior distribution of the state, given future observations.
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- Copyright © Applied Probability Trust 2018
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