Consequences of using the probability of a false alarm as the false alarm measure
In systems for on-line detection of regime shifts, a process is continually observed. Based on the data available an alarm is given when there is enough evidence of a change. There is a risk of a false alarm and here two different ways of controlling the false alarms are compared: a fixed average run length until the first false alarm and a fixed probability of any false alarm (fixed size). The two approaches are evaluated in terms of the timeliness of alarms. A system with a fixed size is found to have a drawback: the ability to detect a change deteriorates with the time of the change. Consequently, the probability of successful detection will tend to zero and the expected delay of a motivated alarm tends to infinity. This drawback is present even when the size is set to be very large (close to 1). Utility measures expressing the costs for a false or a too late alarm are used in the comparison. How the choice of the best approach can be guided by the parameters of the process and the different costs of alarms is demonstrated. The technique is illustrated by financial transactions of the Hang Seng Index.
|Date of creation:||01 Jan 2007|
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- E. Andersson & D. Bock & M. Frisen, 2006. "Some statistical aspects of methods for detection of turning points in business cycles," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 257-278.
- E. Andersson, 2002. "Monitoring cyclical processes. A non-parametric approach," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(7), pages 973-990.
- Christian Sonesson & David Bock, 2003. "A review and discussion of prospective statistical surveillance in public health," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 166(1), pages 5-21.
- Xia Pan, 2005. "An alternative approach to multivariate EWMA control chart," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 695-705.
- Arthur Yeh & Dennis Lin & Honghong Zhou & Chandramouliswaran Venkataramani, 2003. "A multivariate exponentially weighted moving average control chart for monitoring process variability," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(5), pages 507-536.
- Mu'azu Abujiya & Hassen Muttlak, 2004. "Quality Control Chart for the Mean using Double Ranked Set Sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(10), pages 1185-1201.
- A. F. B. Costa & M. A. Rahim, 2004. "Monitoring Process Mean and Variability with One Non-central Chi-square Chart," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(10), pages 1171-1183.
- Kurt Hornik & Friedrich Leisch & Christian Kleiber & Achim Zeileis, 2005.
"Monitoring structural change in dynamic econometric models,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 20(1), pages 99-121.
- Zeileis, Achim & Leisch, Friedrich & Kleiber, Christian & Hornik, Kurt, 2002. "Monitoring structural change in dynamic econometric models," Technical Reports 2002,07, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
- Leisch, Friedrich & Hornik, Kurt & Kuan, Chung-Ming, 2000. "Monitoring Structural Changes With The Generalized Fluctuation Test," Econometric Theory, Cambridge University Press, vol. 16(06), pages 835-854, December.
- Zhang Wu & Yu Tian & Sheng Zhang, 2005. "Adjusted-loss-function charts with variable sample sizes and sampling intervals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(3), pages 221-242.
- Frédéric Carsoule & Philip Franses, 2003. "A note on monitoring time-varying parameters in an autoregression," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 57(1), pages 51-62, February.
- Chu, Chia-Shang James & Stinchcombe, Maxwell & White, Halbert, 1996. "Monitoring Structural Change," Econometrica, Econometric Society, vol. 64(5), pages 1045-1065, September.
- A. A. Kalgonda & S. R. Kulkarni, 2004. "Multivariate Quality Control Chart for Autocorrelated Processes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(3), pages 317-327. Full references (including those not matched with items on IDEAS)
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