Mathematics – Statistics Theory
Scientific paper
2011-07-29
Mathematics
Statistics Theory
To appear in Statistics & Probability Letters
Scientific paper
In this paper, a lower bound is determined in the minimax sense for change point estimators of the first derivative of a regression function in the fractional white noise model. Similar minimax results presented previously in the area focus on change points in the derivatives of a regression function in the white noise model or consider estimation of the regression function in the presence of correlated errors.
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