Strong consistency of LS estimators in simple linear EV regression models with WOD errors

Abstract

For a simple linear errors-in-variables regression model with widely orthant dependent errors, we provide sufficient conditions for the convergence rate in the strong consistency of the least squares estimators. We also provide necessary conditions. Our result improves and extends some results of Liu et al. (J. Math. Ineq., 14 (2020), 771-779).