Change Point Problem

Jaromı́r Antoch · Marie Hušková

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Advanced Statistical Process Monitoring Statistical Methods and Inference Advanced Statistical Methods and Models

Abstract

The main objective of this paper is to survey procedures that one connected with the change point problem and with testing the constancy of regression relationship over a time. We will focus on the case of independent observations. Detailed algorithms are presented for most of the discussed methods.

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References

1979A Non-Parametric Approach to the Change-Point Problem 1963On Optimum Methods in Quickest Detection Problems 1955A Test for a Change in a Parameter Occurring at an Unknown Point 1964Estimating the Current Mean of a Normal Distribution which is Subjected to Changes in Time 1975On Tests for Detecting Change in Mean 1985Testing and estimating change-points in time series 1985Detection of Abrupt Changes in Signals and Dynamical Systems 1978The Problem of the Nile: Conditional Solution to a Changepoint Problem

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2020Asymptotic distribution-free change-point detection based on interpoint distances for high-dimensional data

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