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Convergence of the CUSUM estimation for a mean shift in linear processes with random coefficients
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Convergence of the CUSUM estimation for a mean shift in linear processes with random coefficients
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Journal Article
Convergence of the CUSUM estimation for a mean shift in linear processes with random coefficients
2024
Overview
Let Xi,1≤i≤n be a sequence of linear process based on dependent random variables with random coefficients, which has a mean shift at an unknown location. The cumulative sum (CUSUM, for short) estimator of the change point is studied. The strong convergence, Lr convergence, complete convergence and the rate of strong convergence are established for the CUSUM estimator under some mild conditions. These results improve and extend the corresponding ones in the literature. Simulation studies and two real data examples are also provided to support the theoretical results.
Publisher
Springer Nature B.V
Subject
