Published online by Cambridge University Press: 27 August 2010
This paper proposes a model specification testingprocedure for parametric specification of theconditional mean function in a nonlinear time seriesmodel with long-range dependent. An asymptoticallynormal test is established even when long-rangedependent is involved. To implement the proposedtest in practice using a simulated example, abootstrap simulation procedure is established tofind a simulated critical value to compute both thesize and power values of the proposed test.
The authors thank the co-editor and two refereesfor helpful comments on earlier versions. Theauthors also acknowledge financial support fromthe Australian Research Council Discovery GrantsProgram under grants DP0558602 and DP0879088.