Nonlinear and Non-Gaussian State-Space Modeling with Monte-Carlo Simulations

We propose two nonlinear and nonnormal filters based on Monte Carlo simulation techniques. In terms of programming and computational requirements both filters are more tractable than other nonlinear filters that use numerical integration, Monte Carlo integration with importance sampling or Gibbs sam...

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Bibliographic Details
Main Authors: Mariano, Roberto S., Tanizaki, Hisashi
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1998
Subjects:
Online Access:https://ink.library.smu.edu.sg/soe_research/272
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Institution: Singapore Management University
Language: English
Description
Summary:We propose two nonlinear and nonnormal filters based on Monte Carlo simulation techniques. In terms of programming and computational requirements both filters are more tractable than other nonlinear filters that use numerical integration, Monte Carlo integration with importance sampling or Gibbs sampling. The proposed filters are extended to prediction and smoothing algorithms. Monte Carlo experiments are carried out to assess the statistical merits of the proposed filters.