Strong convergence rates of multiple change-point estimator for ρ-mixing sequence

DOI10.1080/03610926.2021.1998532OpenAlexW3212730945MaRDI QIDQ6114243

Yuncai Yu, Zhicheng Chen

Publication date: 11 July 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.1998532

zbMATH Keywords

strong consistency\(\rho\)-mixing sequencemultiple change-pointCUSUM-type estimation

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Central limit and other weak theorems (60F05) Point estimation (62F10) Asymptotic properties of parametric tests (62F05)

Cites Work

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• Detection of multiple changes in a sequence of dependent variables
• The Berry-Esseen bounds of wavelet estimator for regression model whose errors form a linear process with a \(\rho\)-mixing
• Bernstein-type inequality for weakly dependent sequence and its applications
• Change-of-variance problem for linear processes with long memory
• Strong convergence rate of estimators of change point and its application
• Exponential inequalities for dependent random variables
• On tests for detecting change in mean
• Change-point in the mean of dependent observations
• Maximal inequalities for partial sums of \(\rho\)-mixing sequences
• Detection of multiple change points for linear processes under negatively super-additive dependence
• A general approach rate to the strong law of large numbers
• Rate of convergence for multiple change-points estimation of moving-average processes
• Complete moment convergence of moving average processes under ρ-mixing assumption
• On Strong Mixing Conditions for Stationary Gaussian Processes
• LEAST SQUARES ESTIMATION OF A SHIFT IN LINEAR PROCESSES
• The Berry--Esseen Bound for $\rho$-Mixing Random Variables and Its Applications in Nonparametric Regression Model
• A Cluster Analysis Method for Grouping Means in the Analysis of Variance
• A strong convergence rate of estimator of variance change in linear processes and its applications

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