Two-phase control chart monitoring binomial high-dimensional data streams

Zhifang Mu; Xuemin Zi

doi:10.1117/12.2692812

23 August 2023 Two-phase control chart monitoring binomial high-dimensional data streams

Zhifang Mu, Xuemin Zi

Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 127842R (2023) https://doi.org/10.1117/12.2692812
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China

Abstract

In many practical applications, the research object can only produce two results, and their distribution follows binomial distribution. In the age of big data, the scale of data streams available for monitoring will continue to grow, and there is an unprecedented demand for an efficient monitoring scheme for high-dimensional binomial data streams . However, the existing monitoring scheme is to directly apply the error detection rate (FDR) control program to the data at each time point. The generated process will not control the global FDR, and users will not be able to obtain the desired controlled average running length(IC ARL). In order to solve these problems, this paper adopts a two-phase monitoring scheme motivated by Li(2018) that constructed the two-phase control chart for normal distribution concerning both global FDR and pointwise FDR. In the first stage, it detects whether there is a data flow that is out of control, and in the second stage, it detects the specific location of the data flow that is out of control. Numerical simulation show that the proposed two-phase monitoring scheme based on binomial distribution outperforms the existing methods.

Citation Download Citation

Zhifang Mu and Xuemin Zi "Two-phase control chart monitoring binomial high-dimensional data streams", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 127842R (23 August 2023); https://doi.org/10.1117/12.2692812

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
5 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Fourier transforms

Lithium

Numerical simulations

Process control

Algorithm development

Error analysis

Medical statistics

Show All Keywords

Keywords/Phrases

Search In:

Publication Years