Optimal estimation and Cramer-Rao bounds for partial non-gaussian state space models

Partial non-Gaussian state-space models include many models of interest while keeping a convenient analytical structure. In this paper, two problems related to partial non-Gaussian models are addressed. First, we present an efficient sequential Monte Carlo method to perform Bayesian inference. Secon...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Bergman, N, Doucet, A, Gordon, N
Format: Conference item
Veröffentlicht: 2001
Beschreibung
Zusammenfassung:Partial non-Gaussian state-space models include many models of interest while keeping a convenient analytical structure. In this paper, two problems related to partial non-Gaussian models are addressed. First, we present an efficient sequential Monte Carlo method to perform Bayesian inference. Second, we derive simple recursions to compute posterior Cramér-Rao bounds (PCRB). An application to jump Markov linear systems (JMLS) is given.