Published online by Cambridge University Press: 27 August 2010
This paper proposes a model specification testing procedure for parametric specification of the conditional mean function in a nonlinear time series model with long-range dependent. An asymptotically normal test is established even when long-range dependent is involved. To implement the proposed test in practice using a simulated example, a bootstrap simulation procedure is established to find a simulated critical value to compute both the size and power values of the proposed test.
The authors thank the co-editor and two referees for helpful comments on earlier versions. The authors also acknowledge financial support from the Australian Research Council Discovery Grants Program under grants DP0558602 and DP0879088.