Abstract
In this article, we investigate the estimators for the heteroscadastic partially linear regression model under dependent errors defined by
, where εi = σiei,
the design points
are known and nonrandom, β is an unknown parameter to be estimated, the functions g(⋅) and f(⋅) are unknown, which are defined on a closed interval [0,1], and the random errors {ei} are (α, β)-mixing random variables. When the model is heteroscedastic, the unknown parameter β and the unknown function g(⋅) are approximated by the weighted least squares estimators. We derive the asymptotic normality of the weighted least squares estimators under some suitable conditions. Simulation studies are conducted to demonstrate the finite sample performance of the proposed procedure. Finally, we use real data to examine the dependence between oil prices and exchange rates.
Disclosure statement
No potential conflict of interest was reported by the author(s).