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A Distribution-Free Control Chart Based on Order...
Journal article

A Distribution-Free Control Chart Based on Order Statistics

Abstract

In this article, we introduce a new distribution-free Shewhart-type control chart that takes into account the location of a single order statistic of the test sample (such as the median) as well as the number of observations in that test sample that lie between the control limits. Exact formulae for the alarm rate, the run length distribution, and the average run length (ARL) are all derived. A key advantage of the chart is that, due to its …

Authors

Balakrishnan N; Triantafyllou IS; Koutras MV

Journal

Communication in Statistics- Theory and Methods, Vol. 39, No. 20, pp. 3652–3677

Publisher

Taylor & Francis

Publication Date

October 14, 2010

DOI

10.1080/03610920903324858

ISSN

0361-0926

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