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Nonlinear regression with dependent observations. (English) Zbl 0533.62055

The authors establish general conditions for consistency and asymptotic normality for the nonlinear least squares estimators. These results are based on the extensions of the law of large numbers and the central limit theorem for random processes with mixing conditions. New tests for model misspecification based on the information matrix testing principle are also given.
Reviewer: A.Novikov

MSC:

62J02 General nonlinear regression
62P20 Applications of statistics to economics
60G10 Stationary stochastic processes
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