Abstract: | Consider a model yt = ft(θ) + Mt, 0 ⩽ t ⩽ T where θ∈ Θ in an unknown parameter, ft(θ) is a linear predictable process, Mt is a martingale difference, and the nature of E(M2t/ℱt—1) is unknown. This paper presents an estimating procedure for θ based on the asymptotic quasi-likelihood methodology. Conditions under which the asymptotic quasi-likelihood estimate converges to the true parameter θ0 are discussed. This method is applied to several simulated examples, and estimates of the unknown parameter are obtained by means of a two-stage technique. Comparison is made between the estimates obtained via this method and those obtained via the ordinary least squares method. Discussion is provided on the application of the model. |