ABSTRACT In this paper, the heteroscedastic semiparametric errors-in-variables (EV) model, , is considered, where , β is an unknown parameter to be estimated and and are unknown functions to be estimated. Under some suitable conditions, asymptotic properties for the estimators of β, and are presented based on α-mixing random errors. In addition, finite sample behavior of the estimators is provided via simulations to verify the validity of the theoretical results.

中文翻译：

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具有 α 混合误差的异方差半参数 EV 模型中估计量的渐近性质

摘要在本文中，考虑了异方差半参数变量误差（EV）模型，其中，β 是待估计的未知参数，并且是待估计的未知函数。在一些合适的条件下，β 和 β 估计量的渐近特性是基于 α 混合随机误差呈现的。此外，通过模拟提供了估计器的有限样本行为，以验证理论结果的有效性。