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Статья

Comparative Analysis of Robust and Classical Methods for Estimating the Parameters of a Threshold Autoregression Equation

Automation and Remote Control. 2019. Vol. 80. No. 4. P. 666-675.
Goryainov V. B., Goryainova E. R.

Using computer simulation and a study of the asymptotic distribution, we consider the relative efficiency of M-estimates for the coefficients of the threshold autoregressive equation with respect to the least squares and least absolute deviation  estimates. We assume that the updating sequence of the autoregressive equation can have Student’s, logistic, double exponential, normal, or contaminated normal distributions. We prove asymptotic normality of M-estimates with a convex loss function.