Abstract
In this article, we consider the semiparametric regression model where are known fixed design points, β is an unknown parameter to be estimated, and are unknown functions defined on a compact set. Assume that the random errors are zero mean widely orthant dependent (WOD, for short) random variables. Under some suitable conditions, we investigate the complete consistency for the least squares estimators (LSE, for short) and the weighted least squares estimators (WLSE, for short) of β and In addition, a numerical simulation is given to study the numerical performance based on finite samples.
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