Skip to main content
CenXiv.org
This website is in trial operation, support us!
We gratefully acknowledge support from all contributors.
Contribute
Donate
cenxiv logo > math > arXiv:2504.21379

Help | Advanced Search

Mathematics > Statistics Theory

arXiv:2504.21379 (math)
[Submitted on 30 Apr 2025 ]

Title: Non-parametric multiple change-point detection

Title: 非参数多变点检测

Authors:Andreas Anastasiou, Piotr Fryzlewicz
Abstract: We introduce a methodology, labelled Non-Parametric Isolate-Detect (NPID), for the consistent estimation of the number and locations of multiple change-points in a non-parametric setting. The method can handle general distributional changes and is based on an isolation technique preventing the consideration of intervals that contain more than one change-point, which enhances the estimation accuracy. As stopping rules, we propose both thresholding and the optimization of an information criterion. In the scenarios tested, which cover a broad range of change types, NPID outperforms the state of the art. An R implementation is provided.
Abstract: 我们介绍了一种方法,称为非参数隔离检测(NPID),用于在非参数设置中一致地估计多个变点的数量和位置。该方法可以处理一般分布变化,并基于一种隔离技术,防止考虑包含多于一个变点的区间,从而提高估计准确性。作为停止规则,我们提出了阈值化和信息准则优化。在测试的各种场景中,涵盖了广泛的变点类型,NPID的表现优于现有技术。提供了R语言实现。
Comments: 20 pages main paper, 10 figures, 16 pages supplementary material
Subjects: Statistics Theory (math.ST)
Cite as: arXiv:2504.21379 [math.ST]
  (or arXiv:2504.21379v1 [math.ST] for this version)
  https://doi.org/10.48550/arXiv.2504.21379
arXiv-issued DOI via DataCite

Submission history

From: Andreas Anastasiou Dr [view email]
[v1] Wed, 30 Apr 2025 07:28:05 UTC (432 KB)
Full-text links:

Access Paper:

    View a PDF of the paper titled
  • View Chinese PDF
  • View PDF
  • HTML (experimental)
  • TeX Source
  • Other Formats
license icon view license
Current browse context:
math.ST
< prev   |   next >
new | recent | 2025-04
Change to browse by:
math
stat
stat.TH

References & Citations

  • NASA ADS
  • Google Scholar
  • Semantic Scholar
a export BibTeX citation Loading...

BibTeX formatted citation

×
Data provided by:

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)
  • Author
  • Venue
  • Institution
  • Topic

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)
  • About
  • Help
  • contact arXivClick here to contact arXiv Contact
  • subscribe to arXiv mailingsClick here to subscribe Subscribe
  • Copyright
  • Privacy Policy
  • Web Accessibility Assistance
  • arXiv Operational Status
    Get status notifications via email or slack

京ICP备2025123034号