A Residual Control Chart Based on Convolutional Neural Network for Normal Interval-Censored Data

To reduce reliability testing time, experiments are often terminated at a predetermined time, producing right-censored lifetime data. Alternatively, when test samples are inspected at fixed intervals, failures are only observed within these intervals, resulting in interval-censored lifetime data. Although quality control methods for right-censored data are well established, relatively little attention has been given to interval-censored observations. Motivated by the success of residual control charts based on convolutional neural network (CNN) for right-censored data, this study extends the chart for monitoring normally distributed interval-censored lifetime data. Simulation results based on average run length (ARL) indicate that the proposed method outperforms the traditional exponentially weighted moving average (EWMA) chart in detecting decreases in mean lifetime. The findings also highlight the practical benefits of employing high- or low-order autoregressive CNN models depending on the magnitude of process shifts.

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Publication Details

Journal
Mathematics
Published
2026-01-26
DOI
https://doi.org/10.3390/math14030423
Primary Topic
Advanced Statistical Process Monitoring
Type
article
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article

A Residual Control Chart Based on Convolutional Neural Network for Normal Interval-Censored Data

Pei-Hsi Lee
Mathematics
Advanced Statistical Process Monitoring
article

A Residual Control Chart Based on Convolutional Neural Network for Normal Interval-Censored Data

Pei-Hsi Lee
article en

Abstract

To reduce reliability testing time, experiments are often terminated at a predetermined time, producing right-censored lifetime data. Alternatively, when test samples are inspected at fixed intervals, failures are only observed within these intervals, resulting in interval-censored lifetime data. Although quality control methods for right-censored data are well established, relatively little attention has been given to interval-censored observations. Motivated by the success of residual control charts based on convolutional neural network (CNN) for right-censored data, this study extends the chart for monitoring normally distributed interval-censored lifetime data. Simulation results based on average run length (ARL) indicate that the proposed method outperforms the traditional exponentially weighted moving average (EWMA) chart in detecting decreases in mean lifetime. The findings also highlight the practical benefits of employing high- or low-order autoregressive CNN models depending on the magnitude of process shifts.

MathematicsVol. 14(3)
Chaoyang University of Technology (TW)
Peace, Justice and strong institutions
Openalex Percentile: Top 79%
Advanced Statistical Process Monitoring
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