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...

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প্রধান লেখক: Bergman, N, Doucet, A, Gordon, N
বিন্যাস: Conference item
প্রকাশিত: 2001
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author Bergman, N
Doucet, A
Gordon, N
author_facet Bergman, N
Doucet, A
Gordon, N
author_sort Bergman, N
collection OXFORD
description 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.
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spelling oxford-uuid:be1fd07f-e50b-4e29-86f4-3ea8d986f43c2022-03-27T05:36:54ZOptimal estimation and Cramer-Rao bounds for partial non-gaussian state space modelsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:be1fd07f-e50b-4e29-86f4-3ea8d986f43cSymplectic Elements at Oxford2001Bergman, NDoucet, AGordon, NPartial 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.
spellingShingle Bergman, N
Doucet, A
Gordon, N
Optimal estimation and Cramer-Rao bounds for partial non-gaussian state space models
title Optimal estimation and Cramer-Rao bounds for partial non-gaussian state space models
title_full Optimal estimation and Cramer-Rao bounds for partial non-gaussian state space models
title_fullStr Optimal estimation and Cramer-Rao bounds for partial non-gaussian state space models
title_full_unstemmed Optimal estimation and Cramer-Rao bounds for partial non-gaussian state space models
title_short Optimal estimation and Cramer-Rao bounds for partial non-gaussian state space models
title_sort optimal estimation and cramer rao bounds for partial non gaussian state space models
work_keys_str_mv AT bergmann optimalestimationandcramerraoboundsforpartialnongaussianstatespacemodels
AT douceta optimalestimationandcramerraoboundsforpartialnongaussianstatespacemodels
AT gordonn optimalestimationandcramerraoboundsforpartialnongaussianstatespacemodels