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Author:

Li, Yang (Li, Yang.) | Wu, Mixia (Wu, Mixia.) (Scholars:吴密霞) | Ding, Wenxin (Ding, Wenxin.)

Indexed by:

Scopus SCIE

Abstract:

Identifying multiple change points in the mean and/or variance is crucial across various fields, including finance and quality control. We introduce a novel technique that detects change points for the mean and/or variance of a noisy sequence and constructs confidence intervals for both the mean and variance of the sequence. This method integrates the weighted bootstrap with the Sequential Binary Segmentation (SBS) algorithm. Not only does our technique pinpoint the location and number of change points, but it also determines the type of change for each estimated point, specifying whether the change occurred in the mean, variance, or both. Our simulations show that our method outperforms other approaches in most scenarios, clearly demonstrating its superiority. Finally, we apply our technique to three datasets, including DNA copy number variation, stock volume, and traffic flow data, further validating its practical utility and wide-ranging applicability.

Keyword:

Mean-variance change points the SBS algorithm the intensity score confidence interval the weighted bootstrap

Author Community:

  • [ 1 ] [Li, Yang]Beijing Univ Technol, Sch Math Stat & Mech, Beijing, Peoples R China
  • [ 2 ] [Wu, Mixia]Beijing Univ Technol, Sch Math Stat & Mech, Beijing, Peoples R China
  • [ 3 ] [Ding, Wenxin]China Natl Inst Standardizat, Div Gen Standardizat, Beijing, Peoples R China

Reprint Author's Address:

  • 吴密霞

    [Wu, Mixia]Beijing Univ Technol, Sch Math Stat & Mech, Beijing, Peoples R China

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Source :

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION

ISSN: 0094-9655

Year: 2024

Issue: 1

Volume: 95

Page: 70-95

1 . 2 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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