This paper provides an example of a linear regression model with predetermined stochastic regressors for which the sufficient condition for strong consistency of the ordinary least squares estimator by Lai & Wei (1982, Annals of Statistics) is not met. Nevertheless, the estimator is strongly...

This working paper used measurements of accelerometer-based and self-reported physical activity from the National Health and Nutrition Examination Survey 2003–2006 to develop and validate a set of models for predicting objective moderate to vigorous physical activity from self-report...

This paper provides an example of a linear regression model with predetermined stochastic regressors for which the sufficient condition for strong consistency of the ordinary least squares estimator by Lai & Wei (1982, Annals of Statistics) is not met. Nevertheless, the estimator is strongly...