Change detection tests using the ICI rule

Designing tests able to effectively detect changes in the stationarity of a process generating data is a challenging problem, in particular when the process is unknown, and the only information available has to be extracted from a set of observations. This work proposes a novel approach for detecting changes in a process generating data whose distribution is unknown. Peculiarity of the approach is the use of the Intersection of Confidence Intervals (ICI) rule to monitor the process evolution. A change detection test derived from this approach is also presented. Experimental results show that the proposed test outperforms state-of-the art solutions, both in terms of efficiency and effectiveness, in particular when a reduced test configuration set is available.

[1]  M. Kendall Rank Correlation Methods , 1949 .

[2]  Richard D. Braatz,et al.  Fault Detection and Diagnosis in Industrial Systems , 2001 .

[3]  George V. Moustakides,et al.  Detection and diagnosis of changes in the eigenstructure of nonstationary multivariable systems , 1987, Autom..

[4]  R. Herrnstein,et al.  Natural concepts in pigeons. , 1976, Journal of experimental psychology. Animal behavior processes.

[5]  E. S. Page CONTINUOUS INSPECTION SCHEMES , 1954 .

[6]  Cesare Alippi,et al.  Just in time classifiers: Managing the slow drift case , 2009, 2009 International Joint Conference on Neural Networks.

[7]  G. Kitagawa,et al.  A smoothness priors time-varying AR coefficient modeling of nonstationary covariance time series , 1985, IEEE Transactions on Automatic Control.

[8]  Igor V. Nikiforov,et al.  Application of change detection theory to seismic signal processing , 1985 .

[9]  A. Goldenshluger On Spatial Adaptive Estimation of Nonparametric Regression , 2004 .

[10]  B. Manly,et al.  A cumulative sum type of method for environmental monitoring , 2000 .

[11]  Dario Narducci,et al.  Investigation of gas–surface interactions at self-assembled silicon surfaces acting as gas sensors , 2003 .

[12]  J. Astola,et al.  INVERSE HALFTONING BASED ON THE ANISOTROPIC LPA-ICI DECONVOLUTION , 2004 .

[13]  David J. Spiegelhalter,et al.  Machine Learning, Neural and Statistical Classification , 2009 .

[14]  Ronald L. Iman,et al.  A Modern Approach To Statistics , 1983 .

[15]  G. S. Mudholkar,et al.  A Gaussian Approximation to the Distribution of the Sample Variance for Nonnormal Populations , 1981 .

[16]  Cesare Alippi,et al.  Just-in-Time Adaptive Classifiers—Part II: Designing the Classifier , 2008, IEEE Transactions on Neural Networks.

[17]  Irving Wingate Burr Statistical quality control methods , 1976 .

[18]  Ramanathan Gnanadesikan,et al.  Methods for statistical data analysis of multivariate observations , 1977, A Wiley publication in applied statistics.

[19]  Jaakko Astola,et al.  Local Approximation Techniques in Signal and Image Processing (SPIE Press Monograph Vol. PM157) , 2006 .

[20]  Jaakko Astola,et al.  A spatially adaptive nonparametric regression image deblurring , 2005, IEEE Transactions on Image Processing.

[21]  Jaakko Astola,et al.  Adaptive Window Size Image De-noising Based on Intersection of Confidence Intervals (ICI) Rule , 2002, Journal of Mathematical Imaging and Vision.

[22]  Vladimir Katkovnik,et al.  A new method for varying adaptive bandwidth selection , 1999, IEEE Trans. Signal Process..

[23]  Michèle Basseville,et al.  Detection of abrupt changes: theory and application , 1993 .

[24]  Dario Narducci,et al.  Experimental evidence and computational analysis of the electronic density modulation induced by gaseous molecules at Si(001) surfaces upon self-assembling organic monolayer , 2001 .

[25]  Cesare Alippi,et al.  Just-in-Time Adaptive Classifiers—Part I: Detecting Nonstationary Changes , 2008, IEEE Transactions on Neural Networks.

[26]  Karen O. Egiazarian,et al.  Pointwise Shape-Adaptive DCT for High-Quality Denoising and Deblocking of Grayscale and Color Images , 2007, IEEE Transactions on Image Processing.