Journal ArticleDOI
Cusum Techniques for Quality Control
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This article is published in Journal of The Royal Statistical Society Series C-applied Statistics.The article was published on 1969-03-01. It has received 120 citations till now. The article focuses on the topics: CUSUM.read more
Citations
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Journal ArticleDOI
Detection of abrupt changes: theory and application
TL;DR: A unified framework for the design and the performance analysis of the algorithms for solving change detection problems and links with the analytical redundancy approach to fault detection in linear systems are established.
Journal ArticleDOI
An approach to the probability distribution of cusum run length
D. Brook,David Evans +1 more
TL;DR: In this paper, the operation of a cumulative sum control scheme is regarded as forming a Markov chain and the transition probability matrix for this chain is obtained and then the properties of this matrix used to determine not only the average run lengths for the scheme, but also moments and percentage points of the run-length distribution and exact probabilities of run length.
Journal ArticleDOI
Detection of Abrupt Changes: Theory and Applications.
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Counted Data CUSUM's
TL;DR: Design and implementation procedures for counted data CUSUM's (these are sometimes called C USUM's for attributes) are described, which are easy to design and implement and can be used to detect both increases and decreases in the count level.
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Fast initial response for CUSUM quality-control schemes: give your CUSUM a head start
James M. Lucas,Ronald B. Crosier +1 more
TL;DR: In this article, the average run length and the distribution of run length for CUSUM schemes with the fast initial response (FIR) feature were compared to standard CUSUME schemes.
References
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Journal ArticleDOI
THE USE OF RANGE IN PLACE OF STANDARD DEVIATION IN THE t-TEST
TL;DR: The modified test (u-test) based on range, applications of the u-test, and some linear estimates of standard deviation in random samples from a normal population are described.
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Controlling the Standard Deviation by Cusums and Warning Lines
TL;DR: In this paper, the authors compare four process inspection schemes and provide a short table of cusum schemes using the range, and compare the four schemes with the results of the warning lines on the Shewhart chart and a more sensitive scheme using cumulative sums (cusums) of the sample ranges together with a rule for deciding what change of direction of the path should require action.
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The use of mean range as an estimator of variance in statistical tests
TL;DR: An approximation to the distribution is obtained and the distribution of the ratio of a normal variate to mean range is derived to compare it with the results of Lord (1947), who has studied the position numerically.