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Change-point estimation in long memory nonparametric models with applications. (English) Zbl 1139.62022

Summary: We consider the estimation of a change point or discontinuity in a regression function for random design models with long memory errors. We provide several change-point estimators and investigate the consistency of the estimators. Using the fractional ARIMA process as an example of long memory processes, we report a small Monte Carlo experiment to compare the performance of the estimators in finite samples. We finish by applying the method to a climatological data example.

MSC:

62G08 Nonparametric regression and quantile regression
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
65C05 Monte Carlo methods
62G05 Nonparametric estimation
62G20 Asymptotic properties of nonparametric inference

Software:

longmemo
Full Text: DOI

References:

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