Accurate and robust indirect inference for diffusion models
Indirect inference (Smith, 1993; Gouriéroux, Monfort and Renault, 1993) is a simulation-based estimation method dealing with econometric models whose likelihood function is intractable. Typical examples are diffusion models described by stochastic differential equations. A potential problem that arises when estimating a diffusion model is the possible model misspecifcation which can lead to biased estimators and misleading test results. To correct the bias due to model misspecifcation, Genton and Ronchetti (2003) proposed robust indirect inference. The standard asymptotic approximation to the finite sample distribution of the robust indirect estimators and tests, however, can be very poor and can lead to misleading inference. To improve the finite sample accuracy, we propose in this paper an optimal choice of the auxiliary discretized model and a new test based on asymptotically equivalent M-estimators of the robust indirect estimators. We apply the robust indirect saddlepoint tests using an optimal choice of discretization to various contaminated diffusion models and we illustrate the gain in finite sample accuracy when using the new technique.
|Date of creation:||Aug 2008|
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- Genton, Marc G. & de Luna, Xavier, 2000. "Robust simulation-based estimation," Statistics & Probability Letters, Elsevier, vol. 48(3), pages 253-259, July.
- Chan, K C, et al, 1992.
" An Empirical Comparison of Alternative Models of the Short-Term Interest Rate,"
Journal of Finance,
American Finance Association, vol. 47(3), pages 1209-27, July.
- Tom Doan, . "RATS programs to replicate CKLS(1992) estimation of interest rate models," Statistical Software Components RTZ00035, Boston College Department of Economics.
- Gallant, A. Ronald & Tauchen, George, 1996.
"Which Moments to Match?,"
Cambridge University Press, vol. 12(04), pages 657-681, October.
- Broze, Laurence & Scaillet, Olivier & Zako an, Jean-Michel, 1998.
"Quasi-Indirect Inference For Diffusion Processes,"
Cambridge University Press, vol. 14(02), pages 161-186, April.
- BROZE, Laurence & SCAILLET, Olivier & ZAKOIAN, Jean-Michel, . "Quasi-indirect inference for diffusion processes," CORE Discussion Papers RP 1327, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- BROZE, Laurence & SCAILLET, Olivier & ZAKOIAN, Jean-Michel, 1995. "Quasi Indirect Inference for Diffusion Processes," CORE Discussion Papers 1995005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Veronika Czellar & G. Andrew Karolyi & Elvezio Ronchetti, 2005.
"Indirect Robust Estimation of the Short-term Interest Rate Process;,"
Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva
2005.02, Institut d'Economie et Econométrie, Université de Genève.
- Czellar, Veronika & Karolyi, G. Andrew & Ronchetti, Elvezio, 2007. "Indirect robust estimation of the short-term interest rate process," Journal of Empirical Finance, Elsevier, vol. 14(4), pages 546-563, September.
- Veronika Czellar & G. Andrew Karolyi & Elvezio Ronchetti, 2005. "Indirect Robust Estimation of the Short-term interest Rate Process," FAME Research Paper Series rp135, International Center for Financial Asset Management and Engineering.
- Veronika Czellar & G. Andrew Karolyi & Elvezio Ronchetti, 2007. "Indirect robust estimation of the short-term interest rate process," Post-Print hal-00463251, HAL.
- Czellar, Veronika & Karolyi, G. Andrew & Ronchetti, Elvezio, 2005. "Indirect Robust Estimation of the Short-term Interest Rate Process," Working Paper Series 2005-4, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
- Smith, A A, Jr, 1993. "Estimating Nonlinear Time-Series Models Using Simulated Vector Autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S63-84, Suppl. De.
- Ortelli, Claudio & Trojani, Fabio, 2005. "Robust efficient method of moments," Journal of Econometrics, Elsevier, vol. 128(1), pages 69-97, September.
- Gourieroux, C & Monfort, A & Renault, E, 1993.
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 8(S), pages S85-118, Suppl. De.
- Robert C. Merton, 1980.
"On Estimating the Expected Return on the Market: An Exploratory Investigation,"
NBER Working Papers
0444, National Bureau of Economic Research, Inc.
- Merton, Robert C., 1980. "On estimating the expected return on the market : An exploratory investigation," Journal of Financial Economics, Elsevier, vol. 8(4), pages 323-361, December.
- Yacine Ait-Sahalia, 1995.
"Testing Continuous-Time Models of the Spot Interest Rate,"
NBER Working Papers
5346, National Bureau of Economic Research, Inc.
- Ait-Sahalia, Yacine, 1996. "Testing Continuous-Time Models of the Spot Interest Rate," Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 385-426.
- Knut Heggland & Arnoldo Frigessi, 2004. "Estimating functions in indirect inference," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(2), pages 447-462.
- Yacine Aït-Sahalia, 1999. "Transition Densities for Interest Rate and Other Nonlinear Diffusions," Journal of Finance, American Finance Association, vol. 54(4), pages 1361-1395, 08.
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