A Small Sample Estimator for a Polynomial Regression with Errors in the Variables

Cheng, Chi-Lun and Schneeweiß, Hans and Thamerus, Markus (1998): A Small Sample Estimator for a Polynomial Regression with Errors in the Variables. Collaborative Research Center 386, Discussion Paper 113

Abstract

An adjusted least squares estimator, introduced by Cheng and Schneeweiss (1998) for consistently estimating a polynomial regression of any degree with errors in the variables, is modified such that it shows good results in small samples without losing its asymptotic properties for large samples. Simulation studies corroborate the theoretical findings. The new method is applied to analyse a geophysical law relating the depth of earthquakes to their distance from a trench where one of the earth's plates is submerged beneath another one.

• Item Type: Paper (Research Paper)
• Collections: Mathematics, Computer Science and Statistics > Statistics > Collaborative Research Center 386; Special Research Fields > Special Research Field 386
• Subjects: 500 Science > 510 Mathematics