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Asymptotic behaviour of approximate Bayesian estimators

Dean, TA and Singh, SS (2011) Asymptotic behaviour of approximate Bayesian estimators. Technical Report. Cambridge University Engineering Department.

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Abstract

Although approximate Bayesian computation (ABC) has become a popular technique for performing parameter estimation when the likelihood functions are analytically intractable there has not as yet been a complete investigation of the theoretical properties of the resulting estimators. In this paper we give a theoretical analysis of the asymptotic properties of ABC based parameter estimators for hidden Markov models and show that ABC based estimators satisfy asymptotically biased versions of the standard results in the statistical literature.

Item Type: Monograph (Technical Report)
Subjects: UNSPECIFIED
Divisions: Div F > Signal Processing and Communications
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 12:27
Last Modified: 10 Mar 2014 17:35
DOI:

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