On selection of statistics for approximate Bayesian computing (or the method of moments)

A cross validation method for selection of statistics for Approximate Bayesian Computing, and for related estimation methods such as the Method of Simulated Moments, is presented. The method uses simulated annealing to minimize the cross validation criterion over a combinatorial search space that ma...

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Detalles Bibliográficos
Autores: Creel, Michael|||0000-0002-0944-8405, Kristensen, Dennis
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:174328
Acceso en línea:https://ddd.uab.cat/record/174328
https://dx.doi.org/urn:doi:10.1016/j.csda.2015.05.005
Access Level:acceso abierto
Palabra clave:Approximate Bayesian computation
Likelihood-free methods
Selection of statistics
Method of simulated moments
Descripción
Sumario:A cross validation method for selection of statistics for Approximate Bayesian Computing, and for related estimation methods such as the Method of Simulated Moments, is presented. The method uses simulated annealing to minimize the cross validation criterion over a combinatorial search space that may contain an extremely large number of elements. A first simple example, for which optimal statistics are known from theory, shows that the method is able to select these optimal statistics out of a large set of candidate statistics. A second example of selection of statistics for a stochastic volatility model illustrates the method in a more complex case. Code to replicate the results, or to use the method for other applications, is provided at http://www.runmycode.org/companion/view/1116.