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基于贝叶斯检验动态预测置信区间的统计过程控制方法

朱永忠 夏世源

统计与决策2025,Vol.41Issue(8):47-52,6.
统计与决策2025,Vol.41Issue(8):47-52,6.

基于贝叶斯检验动态预测置信区间的统计过程控制方法

A Statistical Process Control Method Based on Bayesian Test for Dynamic Prediction Confidence Interval

朱永忠 1夏世源1

作者信息

  • 1. 河海大学 数学学院,南京 211100
  • 折叠

摘要

Abstract

Time series data processing is an important direction of multivariate statistical process control method research.PCI is a method for detecting abnormalities in time series data by predicting confidence intervals.This paper uses the Bayes test to correct the prediction results and do adaptive processing,proposing a statistical process control model based on Bayes-PCI,and then through numerical simulation,makes a comparison on the average running length under different confidence p and window size W,verifying the performance of the proposed method in processing one-dimensional and high-dimensional data,respective-ly.Finally,the paper employs the process data of Tennessee-Eastman to prove the feasibility of the proposed method in practical application.

关键词

统计过程控制/Bayes检验/置信区间/平均运行长度

Key words

statistical process control/Bayes test/confidence interval/average running length

分类

数理科学

引用本文复制引用

朱永忠,夏世源..基于贝叶斯检验动态预测置信区间的统计过程控制方法[J].统计与决策,2025,41(8):47-52,6.

基金项目

国家自然科学基金重点项目(71831006) (71831006)

统计与决策

OA北大核心

1002-6487

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