The state of cumulative sum sequential changepoint testing 70 years after Page

A Aue, C Kirch - Biometrika, 2024 - academic.oup.com
Quality control charts aim at raising an alarm as soon as sequentially obtained observations
of an underlying random process no longer seem to be within stochastic fluctuations …

Change-Point Detection in the Volatility of Conditional Heteroscedastic Autoregressive Nonlinear Models

MSE Arrouch, E Elharfaoui, J Ngatchou-Wandji - Mathematics, 2023 - mdpi.com
This paper studies single change-point detection in the volatility of a class of parametric
conditional heteroscedastic autoregressive nonlinear (CHARN) models. The conditional …

Strongly consistent model selection for general causal time series

W Kengne - Statistics & Probability Letters, 2021 - Elsevier
We consider the issue of strong consistency for model selection in a large class of causal
time series models, including AR (∞), ARCH (∞), TARCH (∞), ARMA–GARCH and many …

Sequential change point detection in ARMA-GARCH models

J Song, J Kang - Journal of Statistical Computation and Simulation, 2020 - Taylor & Francis
This study investigates a sequential procedure to detect changes in the parameter of ARMA-
GARCH models. Following the test procedure by Berkes et al.[Sequential change-point …

On change-points tests based on two-samples U-Statistics for weakly dependent observations

J Ngatchou-Wandji, E Elharfaoui, M Harel - Statistical Papers, 2022 - Springer
We study change-points tests based on U-statistics for absolutely regular observations. Our
method avoids some technical assumptions on the data and the kernel. The asymptotic …

Detecting weak changes in the mean of a class of nonlinear heteroscedastic models

J Ngatchou-Wandji, M Ltaifa - Communications in Statistics …, 2025 - Taylor & Francis
We study a likelihood ratio test for detecting multiple weak changes in the mean of a class of
CHARN models. The locally asymptotically normal (LAN) structure of the family of …

[HTML][HTML] Research on Change Point Detection during Periods of Sharp Fluctuations in Stock Prices–Based on Bayes Method β-ARCH Models

F Tian, Y Wang, Q Qin, B Tian - Axioms, 2024 - mdpi.com
In periods of dramatic stock price volatility, the identification of change points in stock price
time series is important for analyzing the structural changes in financial market data, as well …

A Cramér–von Mises test for a class of mean time dependent CHARN models with application to change-point detection

J Ngatchou-Wandji, M Ltaifa - Statistical Inference for Stochastic …, 2024 - Springer
We derive a Cramér–von Mises test for testing a class of time dependent coefficients
Coditional Heteroscedastic AutoRegressive Non Linear (CHARN) models. The test statistic …

Poisson QMLE for change-point detection in general integer-valued time series models

ML Diop, W Kengne - Metrika, 2022 - Springer
We consider together the retrospective and the sequential change-point detection in a
general class of integer-valued time series. The conditional mean of the process depends …

Sequential change-point detection in Poisson autoregressive models

W Kengne - Journal de la Société Française de Statistique, 2015 - numdam.org
We consider the sequential change-point detection in a general class of Poisson
autoregressive models. The conditional mean of the process depends on a parameter θ∗ …