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We study the problem of parameter estimation for reflected stochasticprocesses driven by a standard Brownian motion. The estimator is obtained usingnonlinear least squares method based on discretely observed processes. Undersome certain conditions, we obtain the consistency and give the asymptoticdistribution of the estimator. Moreover, we briefly remark that our method canbe extended to the one-sided reflected stochastic processes spontaneously.Numerical studies show that the proposed estimator is adequate for practicaluse.

Nonlinear Least Squares Estimator for Discretely Observed Reflected Stochastic Processes