Advances and Applications in Statistics
Volume 31, Issue 2, Pages 77 - 101
(December 2012)
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MIXMAX CHARTS
Willem Albers
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Abstract: For attribute data with (very) small failure rates, control charts based on subsequent groups of r failure times, for some have been shown to be attractive. This especially holds for charts which stop once the maximum (MAX) of such a group is sufficiently small, as this choice allows a nonparametric adaptation already for Phase I samples of ordinary size. The choice of r is dictated by the suspected rate of change in failure rate once the process goes out-of-control: for large (small) changes, r should be small (large). Typically, the actual rate of change will be unknown and hence some flexibility w.r.t. the choice of r seems advisable. In the present paper, this goal is achieved by mixing a MAX-chart for a large r with one for which r is relatively small. |
Keywords and phrases: statistical process control, health care monitoring, high quality processes, average run length, estimated parameters, order statistics, sets method. |
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