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Iterative and Recursive Estimation in Structural Nonadaptive Models

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  • Pastorello, Sergio
  • Patilea, Valentin
  • Renault, Eric

Abstract

An inference method, called latent backfitting, is proposed. This method appears well suited for econometric models where the structural relationships of interest define the observed endogenous variables as a known function of unobserved state variables and unknown parameters. This nonlinear state-space specification paves the way for iterative or recursive EM-like strategies. In the E steps, the state variables are forecasted given the observations and a value of the parameters. In the M steps, these forecasts are used to deduce estimators of the unknown parameters from the statistical model of latent variables. The proposed iterative/recursive estimation is particularly useful for latent regression models and for dynamic equilibrium models involving latent state variables. Practical implementation issues are discussed through the example of term structure models of interest rates.

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Bibliographic Info

Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 21 (2003)
Issue (Month): 4 (October)
Pages: 449-82

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Handle: RePEc:bes:jnlbes:v:21:y:2003:i:4:p:449-82

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Cited by:
  1. Junye Lia & Carlo Favero & Fulvio Ortu, 2010. "A Spectral Estimation of Tempered Stable Stochastic Volatility Models and Option Pricing," Working Papers 370, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  2. Fan, Yanqin & Gentry, Matthew & Li, Tong, 2011. "A new class of asymptotically efficient estimators for moment condition models," Journal of Econometrics, Elsevier, vol. 162(2), pages 268-277, June.
  3. Torben G. Andersen & Nicola Fusari & Viktor Todorov, 2012. "Parametric Inference and Dynamic State Recovery from Option Panels," Global COE Hi-Stat Discussion Paper Series gd12-266, Institute of Economic Research, Hitotsubashi University.
  4. Neil Shephard, 2005. "Stochastic Volatility," Economics Papers 2005-W17, Economics Group, Nuffield College, University of Oxford.
  5. Liu, Sheen & Shi, Jian & Wang, Junbo & Wu, Chunchi, 2007. "How much of the corporate bond spread is due to personal taxes?," Journal of Financial Economics, Elsevier, vol. 85(3), pages 599-636, September.
  6. Adam Canopius, 2006. "Practitioners' Corner," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 4(2), pages 346-351.
  7. Damiaan Persyn & Wouter Torfs, 2013. "A gravity equation for commuting - with an application to estimating regional and language border effects in Belgium," ERSA conference papers ersa13p599, European Regional Science Association.
  8. Li, Tong, 2010. "Indirect inference in structural econometric models," Journal of Econometrics, Elsevier, vol. 157(1), pages 120-128, July.
  9. Garcia, René & Lewis, Marc-André & Pastorello, Sergio & Renault, Éric, 2011. "Estimation of objective and risk-neutral distributions based on moments of integrated volatility," Journal of Econometrics, Elsevier, vol. 160(1), pages 22-32, January.
  10. Filippo Altissimo & Antonio Mele, 2005. "Simulated nonparametric estimation of dynamic models with applications to finance," LSE Research Online Documents on Economics 24658, London School of Economics and Political Science, LSE Library.

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