Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonparametric control chart based on the Mann-Whitney statistic   Nonparametric or distribution-free charts can be useful in statistical
process control problems when there is limited or lack of knowledge about the
underlying process distribution. In this paper, a phase II Shewhart-type chart
is considered for location, based on reference data from phase I analysis and
the well-known Mann-Whitney statistic. Control limits are computed using
Lugannani-Rice-saddlepoint, Edgeworth, and other approximations along with
Monte Carlo estimation. The derivations take account of estimation and the
dependence from the use of a reference sample. An illustrative numerical
example is presented. The in-control performance of the proposed chart is shown
to be much superior to the classical Shewhart $\bar{X}$ chart. Further
comparisons on the basis of some percentiles of the out-of-control conditional
run length distribution and the unconditional out-of-control ARL show that the
proposed chart is almost as good as the Shewhart $\bar{X}$ chart for the normal
distribution, but is more powerful for a heavy-tailed distribution such as the
Laplace, or for a skewed distribution such as the Gamma. Interactive software,
enabling a complete implementation of the chart, is made available on a
website.

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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg