On the robustness of x-charts
作者:
B.F. Arnold,
E. v. Collani,
期刊:
Statistics
(Taylor Available online 1989)
卷期:
Volume 20,
issue 1
页码: 149-159
ISSN:0233-1888
年代: 1989
DOI:10.1080/02331888908802154
出版商: Akademie-Verlag
关键词: Quality control;process control;A;X-harts;economic design;robustness;exponential distribution;minimax principle
数据来源: Taylor
摘要:
In process control the simple x-charts are widely used. In determining an optimum economic design for such a control procedure the time of satisfactory production is usually assumed to be exponentially distributed. In this paper deviations from this optimistic approach are investigated by comparing E-optimal x-charts (using the assumption of an exponentially distributed lifetime) and M-optimal x-charts which are obtained by tfie pessimistic muumax principle applied to all possible lifetime distributions with the same mean value. The comparison shows that the differences between E- and M-optimal x-charts are only minor with respect to a suitable loss function and therefore, the model under consideration is verv robust against deviations from the assumption about the distribution of the time of satisfactory production.
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