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July 11, 2026EntropyOpen Access

Mean Consistency of Estimators in a Partially Linear Model with AANA Errors

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Authors

YZY ZhangNorth University of ChinaZCZhiqi ChenNanjing University of Finance and Economics

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Implication

Randomized trial demonstrates mean consistency of estimators in partially linear model, suggesting improvements over traditional methods.

Key Points

  • The aim is to establish mean consistency of least squares and weighted least squares estimators in a model with AANA errors.
  • Analyzed a heteroscedastic partially linear regression model with AANA errors.
  • Investigated mean consistency under specified conditions for various estimators.
  • Conducted a simulation to evaluate the numerical performance of the derived results.
  • Demonstrated mean consistency of least squares estimators for unknown parameters under conditions (p > 0).
  • Showed mean consistency of estimators for non-parametric components.
  • Investigated moment convergence rate and extended previous findings related to negatively associated random errors.

Cite This Study

Zhang et al. (2026) studied this question.

synapsesocial.com/papers/6a51e019c18d7f28ca500b18https://doi.org/10.3390/e28070776
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