Modified orthogonal regression estimator in the quadratic errors-in-variables model

• Date: 2005
• Main Author: Repetatska, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4432
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modified orthogonal regression estimator in the quadratic errors-in-variables model / G. Repetatska // Theory of Stochastic Processes. — 2005. — Т. 11 (27), № 3-4. — С. 110–120. — Бібліогр.: 5 назв.— англ.

The quadratic functional measurement error model with equal error variances is
 considered. The asymptotic bias of an orthogonal regression estimator is derived. A
 modified estimator which has smaller asymptotic bias for small measurement errors
 is presented.