What question did this study set out to answer?

To investigate the asymptotic properties of wavelet estimators in semi-parametric errors-in-variables models with negatively associated errors.

Asymptotic properties of wavelet estimators in a semi-parametric EV models with ANA errors

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Randomized trial assesses wavelet estimators in semi-parametric models, suggesting strong consistency for parameter estimation.

To investigate the asymptotic properties of wavelet estimators in semi-parametric errors-in-variables models with negatively associated errors.
Utilized wavelet smoothing and least squares method for parameter estimation.
Established strong consistency of estimators under general assumptions.
Conducted simulations to evaluate the behavior of estimators in finite samples.
Confirmed strong consistency of parameter, non-parameter, and error variance estimators under specified conditions.
Simulations showed that estimators perform well in finite samples, aligning with theoretical predictions.

Tang et al. (2026) studied this question.

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