Testing the parametric specification of the diffusion function in a diffusion process

Econometric Theory

Volumn 23, Issue 2, 2007, Pages 221-250

  Li, Fuchun ^a,b  

^a Bank of Canada ^*  (Canada)

^b BANK OF CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947411252     PISSN: 02664666     EISSN: 14694360     Source Type: Journal    
DOI: 10.1017/S0266466607070107     Document Type: Article

References (35)

1. Aït-Sahalia, Y. (1996a) Nonparatnetric pricing of interest rate derivatives securities. Econometrica 64, 527-560.
2. Aït-Sahalia, Y. (1996b) Testing continuous-time models of the spot interest rate. Review of Financial Studies 2, 385-426.
3. Aït-Sahalia, Y., P.J. Bickel, & T.M. Stoker (2001) Goodness-of-fit tests for regression using kernel methods. Journal of Econometrics 105, 363-412.
4. Bandi, P.M. & P.C.B. Phillips (2003) Fully nonparametric estimation of scalar diffusion models. Econometrica 71, 241-283.
5. Bickel, P.J. & M. Rosenblatt (1973) On some global measures of the deviations of density function estimates. Annals of Statistics 1, 1071-1095.
6. Chan, K.C., G.A. Karolyi, F.A. Longstaff, & A.B. Sanders (1992) An empirical comparison of alternative models of the short-term interest rate. Journal of Finance 47, 1209-1227.
7. Chapman, D.A. & N.D. Pearson (2000) Is the short rate drift actually nonlinear? Journal of Finance 55, 355-388.
8. Corradi, V. & N.R. Swanson (2006) Bootstrap conditional distribution tests under dynamic misspecification. Journal of Econometrics 133, 779-806.
9. Corradi, V. & H. White (1999) Specification tests for the variance of a diffusion. Journal of Time Series Analysis 20, 253-270.
10. Cox, J.C., J.E. Ingersoll, & S.A. Ross (1985) A theory of the term structura of interest rates. Econometrica 53, 385-407.
11. Diebold, F.X., T. Gunther, & A. Tay (1998) Evaluating density forecasts with applications to finance and management. International Economic Review 39, 863-883.
12. Downing, C.T. (1999) Nonparametric Estimation of Multifactor Continuous Time Interest-Rate Models. Working paper 1999-62, Board of Governors of the Federal Reserve System.
13. Durham, G.B. (2003) Likelihood-based specification analysis of continuous-time models of the short-term interest rate, Journal of Financial Economics 70, 436-487.
14. Fan, Y. (1994) Testing the goodness-of-fit of a parametric density function by kernel method. Econometric Theory 10, 316-356.
15. Fan, Y. & Q. Li (1999) Central limit theorem for degenerate U-statistic of absolute regular processes with application to model specification testing. Journal of Nonparametric Statistics 10, 245-271.
16. Friedman, A. (1975) Stochastic Differential Equations and Applications, vol. 1. Academic Press.
17. Gallant, A.R. & G. Tauchen (1996) Which moments to match? Econometric Theory 12, 657-681.
18. Gyöfi, L., W. Härdie, P. Sarda, & P. Vieu (1989) Nonparametric Curve Estimation from Time Series. Lecture Notes in Statistics 60. Springer-Verlag.
19. Hall, P. (1984) Central limit theorem for integrated square error of multivariate nonparametric density estimators. Journal of Multivariate Analysis 14, 1-16.
20. Hansen, L.P. & J.A. Scheinkman (1995) Back to the future: Generating moment implications for continuous time Markov processes. Econometrica 63, 767-804.
21. Hong, Y. & H. Li (2005) Nonparametric specification testing for continuous-time models with application to spot interest rates. Review of Financial Studies 18, 37-84.
22. Ikeda, N. & S. Watanahe (1981) Stochastic Differential Equations and Diffusion Processes. North-Holland.
23. Jiang, G.J. & J.L. Knight (1997) A nonparametric approach to the estimation of diffusion process, with an application to a short-tenu interest rate model. Econometric Theory 13, 615-645.
24. Kristensen, D. (2004) Estimation in Two Classes of Semiparametric Diffusion Models. Mimeo, Department of Economics, University of Wisconsin-Madison.
25. Lavergne, P. & Q. Vuong (2000) Nonparametric significance testing. Econometric Theory 16, 576-601.
26. Li, F. (2005) Testing the Parametric Specification of the Diffusion Function in a Diffusion Process. Working paper, Bank of Canada.
27. Li, Q. (1999) Consistent model specification tests for time series econometric models. Journal of Econometrics 92, 101-147.
28. Li, F. & G. Tkacz (2006) A consistent bootstrap test for conditional density functions with time-series data. Journal of Econometrics 133, 841-862.
29. Nicolau, J. (2003) Bias reduction in nonparametric diffusion coefficient estimation. Econometric Theory 19, 754-777.
30. Pagan, A. & A. Ullah (1999) Nonparametric Econometrics. Cambridge University Press.
31. Pritsker, M. (1998) Nonparametric density estimation and tests of continuous time interest rate models. Review of Financial Studies 11, 449-487.
32. Thompson, T. (2001) Specification Tests for Continuous-Time Models. Working paper, Department of Economics, Harvard University.
33. Vasicek, O. (1977) An equilibrium characterization of the term structure. Journal of Financial Economics 5, 177-188.
34. Wong, E. (1964) The construction of a class of stationary Markov processes. In R. Bellman (ed.), Proceedings of Symposia in Applied Mathematics on Stochastic Processes in Mathematical Physics and Engineering, vol. 16, pp. 264-276. American Mathematical Society.
35. Yoshihara, K. (1976) Limiting behavior of U-statistic for stationary, absolutely regular processes. Zeitschrift für Wahrscheinlichkeitstheorie Verwandte. Gebiete 35, 237-252.