Analytical approximations for detection of a changepoint in case of light-tailed distributions

Soawanit Sukparungsee, and Novikov, Alexander (2008) Analytical approximations for detection of a changepoint in case of light-tailed distributions. Journal of Quality Measurement and Analysis, 4 (2). pp. 49-56. ISSN 1823-5670

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Abstract

We derive analytic approximations for the expectation of exit times of Exponentially Weighted Moving Average (EWMA) procedure by using the martingale technique. Based on this technique, martingale approach is able to adapt to monitoring of changes of light-tailed distributions such as Gaussian, Poisson and Bernoulli distributions. Simple procedures are addressed for obtaining the optimal design of EWMA. A comparison with Monte Carlo simulation is also presented

Item Type:Article
Keywords:martingales; exponentially weighted moving average chart; cumulative sum; average run length; average delay time; overshoot
Journal:Journal of Quality Measurement and Analysis
ID Code:1876
Deposited By: Ms. Nor Ilya Othman
Deposited On:16 Jun 2011 02:55
Last Modified:16 Jun 2011 02:55

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