The ARL of modified Shewhart control charts for conditionally heteroskedastic models

Esmeralda Gonçalves, Joana Leite () and Nazaré Mendes-Lopes

Statistical Papers, 2013, vol. 54, issue 1, 19 pages

Abstract: In this article we consider the modified Shewhart control chart for ARCH processes and introduce it for threshold ARCH (TARCH) ones. For both charts, we determine bounds for the distribution of the in-control run length (RL) and, consequently, for its average (ARL), both depending only on the distribution of the generating white noise, the model parameters and the critical value. For the ARCH model, we compare our bounds with others available in literature and show how they improve the existing ones. We present a simulation study to assess the quality of the bounds calculated for the ARL. Copyright Springer-Verlag 2013

Keywords: Shewhart control chart; Average run length; Time series; Stationarity; ARCH model; TARCH model; 62L10; 62M10; 60G10 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s00362-011-0408-z

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