Document Type
Discussion Paper
Publication Date
6-1-2005
CFDP Number
1522
CFDP Pages
49
Abstract
A simple and robust approach is proposed for the parametric estimation of scalar homogeneous stochastic differential equations. We specify a parametric class of diffusions and estimate the parameters of interest by minimizing criteria based on the integrated squared difference between kernel estimates of the drift and diffusion functions and their parametric counterparts. The procedure does not require simulations or approximations to the true transition density and has the simplicity of standard nonlinear least-squares methods in discrete-time. A complete asymptotic theory for the parametric estimates is developed. The limit theory relies on infill and long span asymptotics and is robust to deviations from stationarity, requiring only recurrence.
Recommended Citation
Bandi, Federico M. and Phillips, Peter C.B., "A Simple Approach to the Parametric Estimation of Potentially Nonstationary Diffusions" (2005). Cowles Foundation Discussion Papers. 1806.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/1806