On an Adaptive Estimator of the Least Contrast in a Model with Nonlinear Functional Relations

• Date: 2001
• Main Authors: Kukush, A. G., Zwanzig, S., Кукуш, А. Г., Цванциг, С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4338
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider an implicit nonlinear functional model with errors in variables. On the basis of the concept of deconvolution, we propose a new adaptive estimator of the least contrast of the regression parameter. We formulate sufficient conditions for the consistency of this estimator. We consider seve...