Title
Approximate maximum likelihood estimation using data-cloning ABC
Abstract
A maximum likelihood methodology for a general class of models is presented, using an approximate Bayesian computation (ABC) approach. The typical target of ABC methods is models with intractable likelihoods, and we combine an ABC-MCMC sampler with so-called \"data cloning\" for maximum likelihood estimation. Accuracy of ABC methods relies on the use of a small threshold value for comparing simulations from the model and observed data. The proposed methodology shows how to use large threshold values, while the number of data-clones is increased to ease convergence towards an approximate maximum likelihood estimate. We show how to exploit the methodology to reduce the number of iterations of a standard ABC-MCMC algorithm and therefore reduce the computational effort, while obtaining reasonable point estimates. Simulation studies show the good performance of our approach on models with intractable likelihoods such as g -and- k distributions, stochastic differential equations and state-space models.
Year
DOI
Venue
2017
10.1016/j.csda.2016.08.006
Computational Statistics & Data Analysis
Keywords
Field
DocType
Approximate Bayesian computation,Intractable likelihood,MCMC,State-space model,Stochastic differential equation
Econometrics,Convergence (routing),Point estimation,Approximate Bayesian computation,Markov chain Monte Carlo,State-space representation,Threshold limit value,Stochastic differential equation,Statistics,Maximum likelihood sequence estimation,Mathematics
Journal
Volume
Issue
ISSN
105
C
0167-9473
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Umberto Picchini192.99
AndersonRachele200.34