In this paper, we investigate the least squares (LS) estimator of the non-
linear regression model based on the extended negatively dependent errors which are
widely dependent structures. Under the general conditions, we establish some large
deviation results for the LS estimator of the nonlinear regression parameter, which
can be applied to obtain a weak uniform consistency and a complete convergence
rate for this estimator. In addition, some examples and simulations are presented for
illustration.

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• The large deviation results for the nonlinear regression model with dependent errors