Working paper
Open access

Simulation based bias correction methods for complex models

Publication date2017

Along the ever increasing data size and model complexity, an important challenge frequently encountered in constructing new estimators or in implementing a classical one such as the maximum likelihood estimator, is the computational aspect of the estimation procedure. To carry out estimation, approximate methods such as pseudo-likelihood functions or approximated estimating equations are increasingly used in practice as these methods are typically easier to implement numerically although they can lead to inconsistent and/or biased estimators. In this context, we extend and provide refinements on the known bias correction properties of two simulation based methods, respectively indirect inference and bootstrap, each with two alternatives. These results allow one to build a framework defining simulation based estimators that can be implemented for complex models. Indeed, based on a biased or even inconsistent estimator, several simulation based methods can be used to define new estimators that are both consistent and with reduced finite sample bias. This framework includes the classical method of indirect inference for bias correction without requiring specification of an auxiliary model. We demonstrate the equivalence between one version of the indirect inference and the iterative bootstrap, both correct sample biases up to the order n^3. The iterative method can be thought of as a computationally efficient algorithm to solve the optimization problem of the indirect inference. Our results provide different tools to correct the asymptotic as well as finite sample biases of estimators and give insight on which method should be applied for the problem at hand. The usefulness of the proposed approach is illustrated with the estimation of robust income distributions and generalized linear latent variable models.

  • Iterative bootstrap
  • Two-step estimators
  • Indirect inference
  • Robust statistics
  • Weighted maximum likelihood estimators
  • Generalized latent variable models
Citation (ISO format)
GUERRIER, Stéphane et al. Simulation based bias correction methods for complex models. 2017
Main files (1)
Working paper
Secondary files (1)
  • PID : unige:95054

Technical informations

Creation05/28/2017 4:26:00 PM
First validation05/28/2017 4:26:00 PM
Update time03/15/2023 1:47:57 AM
Status update03/15/2023 1:47:56 AM
Last indexation01/17/2024 12:12:13 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack