Partially linear multivariate regression in the presence of measurement error


YALAZ S., TEZ M.

COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, cilt.27, ss.511-521, 2020 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 27 Konu: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.29220/csam.2020.27.5.511
  • Dergi Adı: COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS
  • Sayfa Sayıları: ss.511-521

Özet

In this paper, a partially linear multivariate model with error in the explanatory variable of the nonparametric part, and an m dimensional response variable is considered. Using the uniform consistency results found for the estimator of the nonparametric part, we derive an estimator of the parametric part. The dependence of the convergence rates on the errors distributions is examined and demonstrated that proposed estimator is asymptotically normal. In main results, both ordinary and super smooth error distributions are considered. Moreover, the derived estimators are applied to the economic behaviors of consumers. Our method handles contaminated data is founded more effectively than the semiparametric method ignores measurement errors.