## Strongly consistent estimation in dependent errors-in-variables.(English)Zbl 1228.62085

Summary: An errors-in-variables (EIV) model with dependent errors is considered. The strong consistency of the total least squares (TLS) estimate for weakly dependent ($$\alpha$$- and $$\phi$$-mixing) measurements – encumbered with errors which are not necessarily stationary and identically distributed – is proved.

### MSC:

 62J05 Linear regression; mixed models 62F12 Asymptotic properties of parametric estimators 62H12 Estimation in multivariate analysis