Correction of nonlinear orthogonal regression estimator

  • L. Fazekas
  • A. G. Kukush
  • S. Zwanzig


For any nonlinear regression function, it is shown that the orthogonal regression procedure delivers an inconsistent estimator. A new technical approach to the proof of inconsistency based on the implicit-function theorem is presented. For small measurement errors, the leading term of the asymptotic expansion of the estimator is derived. We construct a corrected estimator, which has a smaller asymptotic deviation for small measurement errors.
How to Cite
Fazekas, L., A. G. Kukush, and S. Zwanzig. “Correction of Nonlinear Orthogonal Regression Estimator”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 8, Aug. 2004, pp. 1101–1118,
Research articles