Date
2004
Ville de l'éditeur
Paris
Nom de l'éditeur
Université Paris-Dauphine
Titre de la collection
Cahiers du CEREMADE
n° dans la collection
2004-15
Indexation documentaire
Probabilités et mathématiques appliquées
Subject
Monte Carlo Filtering; Particle Filter; Gibbs Sampling; Stochastic Volatility Models
Code JEL
C15
Type
Document de travail / Working paper
Nombre de pages du document
42
Résumé en anglais
Modelling of the fi nancial variable evolution represents an important issue in financial econometrics. Stochastic dynamic models allow to describe more accurately many features of
the financial variables, but often there exists a trade-off between the modelling accuracy and
the complexity. Moreover the degree of complexity is increased by the use of latent factors
which are usually introduced in time series analysis, in order to capture the heterogeneous
time evolution of the observed process. The presence of unobserved components makes
the maximum likelihood inference more difficult to apply. Thus the Bayesian approach is
preferable since it allows to treat general state space models and makes easier the simulation
based approach to parameters estimation and latent factors filtering. The main aim of this
work is to produce an updated review of Bayesian inference approaches for latent factor
models. Moreover, we provide a review of simulation based filtering methods in a Bayesian
perspective focusing, through some examples, on stochastic volatility models.