What does this research mean for the field?

The proposed adaptive CUSUM chart effectively monitors both mean and variance of a Gaussian process without tuning parameters, achieving superior detection power and computational efficiency compared to existing methods. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

The aim is to develop an efficient method for simultaneous monitoring of mean and variance in statistical processes.

February 19, 2026Quality and Reliability Engineering International

Adaptive CUSUM Chart for Simultaneous Monitoring of Mean and Variance

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Authors

GPGokul ParakulumUniversity of California, Riverside JLJun LiUniversity of California, Riverside

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Implication

Novel adaptive CUSUM chart improves detection of mean and variance changes, indicating better monitoring methods.

Key Points

The aim is to develop an efficient method for simultaneous monitoring of mean and variance in statistical processes.
Introduced a novel adaptive CUSUM chart without tuning parameters.
Designed for concurrent monitoring of mean and variance in Gaussian processes.
Implemented a recursive structure for real-time monitoring.
Included diagnostics for evaluating distributional changes after alarms.
Demonstrated improved detection power for various shifts in mean and variance.
Outperformed existing methods in computational efficiency.
Achieved the best overall performance in simulation tests.

Cite This Study

Parakulum et al. (2026) studied this question.

synapsesocial.com/papers/6996a898ecb39a600b3ef770 https://doi.org/10.1002/qre.70181

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Adaptive CUSUM Chart for Simultaneous Monitoring of Mean and Variance

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Key Points

Cite This Study

Adaptive CUSUM Chart for Simultaneous Monitoring of Mean and Variance

Discussion

Member takes

Implication

Key Points

Cite This Study

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