Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2012-10-12 Number: 12-109/III Author-Name: Norbert Christopeit Author-Workplace-Name: University of Bonn Author-Name: Michael Massmann Author-Workplace-Name: VU University Amsterdam Title: Strong Consistency of the Least-Squares Estimator in Simple Regression Models with Stochastic Regressors Abstract: Strong consistency of least squares estimators of the slope parameter in simple linear regression models is established for predetermined stochastic regressors. The main result covers a class of models which falls outside the applicability of what is presently available in the literature. An application to the identification of economic models with adaptive learning is discussed. Classification-JEL: C13, C22, D83, D84 Keywords: linear regression, least-squares, consistency, stochastic regressors, adaptive learning, decreasing gain File-Url: https://papers.tinbergen.nl/12109.pdf File-Format: application/pdf File-Size: 369207 bytes Handle: RePEc:tin:wpaper:20120109