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Capizzi, Giovanna and Masarotto, Guido (2007) Bootstrap-based design of residual control charts. [Working Paper] WORKING PAPER SERIES, 19/2007 . , PADOVA

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Abstract (english)

One approach to monitoring autocorrelated data consists of applying a control chart to the residuals of a time series model estimated from process observations. Recent research shows that the impact of estimation error on the run length properties of the resulting charts is not negligible. In this paper a general strategy for implementing residual-based control schemes is investigated.
The designing procedure uses the AR-sieve approximation assuming that the process allows an autoregressive representation of order infinity. The run length distribution is estimated using bootstrap resampling in order to account for uncertainty in the estimated parameters. Control limits that satisfy a given constraint on the false alarm rate are computed via stochastic approximation.
The proposed procedure is investigated for three residual-based control charts: Generalized Likelihood Ratio (GLR), Cumulative Sum (CUSUM) and Exponentially Weighted Moving Average (EWMA). Results show that the bootstrap approach safeguards against an undesirably high rate of false alarms. In addition, the out-of-control bootstrap-charts sensitivity does not seem to be lower than that of charts designed under the assumption that the estimated model is equal to the true generating process.


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EPrint type:Working Paper
Anno di Pubblicazione:December 2007
More information:Pubblicato anche in: IIE Transactions, 2009, vol. 41, pp. 275-286, ISSN 0740-817X
Key Words:On-line quality control, Time series, Autocorrelated data, Uncertainty modeling, Control charts, Sieve bootstrap
Settori scientifico-disciplinari MIUR:Area 13 - Scienze economiche e statistiche > SECS-S/01 Statistica
Struttura di riferimento:Dipartimenti > Dipartimento di Scienze Statistiche
Codice ID:8808
Depositato il:25 May 2015 13:31
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