Detection of abrupt changes: theory and application
Detection of abrupt changes: theory and application
Fault Diagnosis: Models, Artificial Intelligence, Applications
Fault Diagnosis: Models, Artificial Intelligence, Applications
A First Course in Order Statistics (Classics in Applied Mathematics)
A First Course in Order Statistics (Classics in Applied Mathematics)
Additive Change Detection in Nonlinear Systems With Unknown Change Parameters
IEEE Transactions on Signal Processing
Two strategies in the problem of change detection and isolation
IEEE Transactions on Information Theory
Detection of stochastic processes
IEEE Transactions on Information Theory
A suboptimal quadratic change detection scheme
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
A generalized change detection problem
IEEE Transactions on Information Theory
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This paper examines a new method for sequential detection of a sudden and unobservable change in a sequence of independent observations with completely unspecified distribution functions. A nonparametric detection rule is proposed which relies on the concept of a moving vertically trimmed box. As such, it will be coined as the Vertical Box Control Chart (V-Box Chart). Its implementation requires merely to count the number of data points which fall into the box attached to the last available observation. No a priori knowledge of data distributions is required and proper tuning of the box size provides a quick detection technique. This is supported by establishing statistical properties of the method which explain the role of the tuning parameters used in the V-Box Chart. These theoretical results are verified by simulation studies which indicate that the V-Box Chart may provide quick detection with zero delay for jumps of moderate sizes. Its averaged run length to detection is more favorable than the one for the classical EWMA method. By comparison with the classical Shewhart chart, which was optimized for normal errors, our method provides comparable or better performance.