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R-charts for the exponential, Laplace and logistic processes

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Abstract

This paper (i) discusses theR-chart with asymmetric probability control limits under the assumption that the distribution of the quality characteristic under study is either exponential, Laplace, or logistic, (ii) examines the effect of the estimated probability limits on the performance of theR-chart, and (iii) obtains the desired probability limits of theR-chart that has a specified false alarm rate when probability limits must be estimated from preliminary samples taken from either the exponential, Laplace, or logistic processes.

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Authors and Affiliations

  1. Institute of Mathematical Sciences, University of Malaya, 50603, Kuala Lumpur, Malaysia

    C. H. Sim & W. K. Wong

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  1. C. H. Sim
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  2. W. K. Wong
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Sim, C.H., Wong, W.K. R-charts for the exponential, Laplace and logistic processes. Statistical Papers 44, 535–554 (2003). https://doi.org/10.1007/BF02926009

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  • DOI: https://doi.org/10.1007/BF02926009

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