Document details for 'Selecting nonlinear stochastic process rate models using information criteria'

Authors Walker, D.M. and Marion, G.
Publication details Physica D 213, 190-196.
Keywords stochastic process models; model selection; description length; nonlinear models
Abstract We demonstrate how unknown process rates within a stochastic modelling framework based on Markov processes can be approximated from time series data using polynomial basis functions. The problem of model selection is considered by adapting basis function selection methods and the minimum description length information criteria which has previously been developed for nonlinear auto-regressive models of time series under Gaussian noise assumptions. We investigate the effectiveness of the methods with application to stochastic biological population models.
Last updated 2009-02-13
  1. mdl1.pdf

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