The target value, T, of the quality characteristic
Upper control limit
Lower control limit
Plotted statistic
In statistical quality control, the CUSUM (or cumulative sum control chart) is a sequential analysis technique developed by E. S. Page of the University of Cambridge. It is typically used for monitoring change detection.[1]
CUSUM was announced in Biometrika, in 1954, a few years after the publication of Wald's sequential probability ratio test (SPRT).[2]
E. S. Page referred to a "quality number" , by which he meant a parameter of the probability distribution; for example, the mean. He devised CUSUM as a method to determine changes in it, and proposed a criterion for deciding when to take corrective action. When the CUSUM method is applied to changes in mean, it can be used for step detection of a time series.
A few years later, George Alfred Barnard developed a visualization method, the V-mask chart, to detect both increases and decreases in .[3]
^Grigg; Farewell, VT; Spiegelhalter, DJ; et al. (2003). "The Use of Risk-Adjusted CUSUM and RSPRT Charts for Monitoring in Medical Contexts". Statistical Methods in Medical Research. 12 (2): 147–170. doi:10.1177/096228020301200205. PMID 12665208.
^Page, E. S. (June 1954). "Continuous Inspection Scheme". Biometrika. 41 (1/2): 100–115. doi:10.1093/biomet/41.1-2.100. hdl:10338.dmlcz/135207. JSTOR 2333009.
^Barnard, G.A. (1959). "Control charts and stochastic processes". Journal of the Royal Statistical Society. B (Methodological) (21, number 2): 239–71. JSTOR 2983801.
In statistical quality control, the CUSUM (or cumulative sum control chart) is a sequential analysis technique developed by E. S. Page of the University...
Cusum may refer to: CUSUM, a technique in statistical quality control Cusum (Pannonia), an ancient Roman city in today's Petrovaradin This disambiguation...
administration it was known as Cusum. After the Romans conquered the region from the Celtic tribe of Scordisci, they built the Cusum fortress where present Petrovaradin...
classified into Shewhart individuals control chart (ISO 7870-2) and CUSUM(CUsUM)(or cumulative sum control chart)(ISO 7870-4). Control charts, also known...
via Markov chain Monte Carlo inference. In general, the CUSUM (cumulative sum) and CUSUM-sq (CUSUM squared) tests can be used to test the constancy of the...
psychology and industrial quality control. Lepage test Shewhart–Cucconi Chart CUSUM Cucconi Chart Cucconi, Odoardo (1968). "Un nuovo test non parametrico per...
Bassianae and 145 km (90 mi) of Viminacium, 35 km (22 mi) southwest of Cusum, 35 km (22 mi) southeast of Cuccium and 70 km (43 mi) southwest of Cibalae...
fortifications were created with the arrival of the Romans who built the fortress (Cusum) which was a part of the fortified borders (limes) along the Danube. The...
function analysis of function words. The CUSUM (cumulative sum) method for text analysis has also been developed. CUSUM analysis works even on short texts and...
(2019-10-07). "Monitoring Digital Technologies in Hydraulic Systems Using CUSUM Control Charts". ASME/BATH 2019 Symposium on Fluid Power and Motion Control...
measured consumption. One of the tools most commonly used for this is the CUSUM, which is the CUmulative SUM of differences. This consists in first calculating...
Optimal stopping Sequential estimation Sequential probability ratio test CUSUM Wald, Abraham (June 1945). "Sequential Tests of Statistical Hypotheses"...
was built in the 1st century, named Cusum, and included in the Roman province of Pannonia. In the 5th century, Cusum was devastated by Hunnic invasions...
boundary. The method has been used in several medical research studies. CUSUM Computerized classification test Wald test Likelihood-ratio test Wald, Abraham...
incidence Cunningham function CURE data clustering algorithm Curve fitting CUSUM Cuzick–Edwards test Cyclostationary process d-separation D/M/1 queue D'Agostino's...
statisticians along with Shovan Chowdhury, proposed a distribution-free CUSUM-type Phase-II monitoring scheme based on the Lepage statistic. In 2017,...
in the 1st century AD with the name Cusum and was included into Roman province Pannonia. In the 5th century, Cusum was devastated by the invasion of the...
agreement prefixes are: Mambuwan has a general oblique case marker –unum ~ -Cusum for nouns: ŋait-unum fire-OBL ‘in/at/with/through fire’ Mambuwan also makes...
and K. Kontrus), Journal of Econometrics, vol. 40, 1989, pp. 307–318. The CUSUM-Test with OLS-Residuals (with W. Krämer), Econometrica, Vol. 60, No. 2,...
be established Validated methods for evaluating learning curves, such as CUSUM, should be used Reporting should be more disease-based than procedure-based...
special case of sequential analysis. Such algorithms include the classical CUSUM method applied to changes in mean. By contrast, offline algorithms are applied...
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