淡江大學機構典藏:Item 987654321/18482
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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/18482


    Title: Adjusted Weighted Standart Deviation R Chart for Skewed Distributions
    Authors: 蔡宗儒;Tsai, Tzong-ru;吳碩傑;Wu, Shuo-jye
    Contributors: 淡江大學統計學系
    Date: 2008-06-01
    Issue Date: 2009-09-01 16:08:29 (UTC+8)
    Publisher: Sao Paulo: Associacao Brasileira de Estatistica
    Abstract: This paper proposes a heuristic method based on adjusted weighted standard deviation for constructing R chart for skewed process distributions. The asymmetric control limits of the chart arc established with no assumption to the process distribution. If the process distribution is symmetric those control limits are equivalent to those of Shewhart R chart. The proposed control limits are compared with weighted variance R chart and skewness correction R chart by Monte Carlo simulation. When the process distribution is Weibull or gamma, simulation results show that the proposed R chart performs better than both weighted variance and skewness correction R chart as the skewness and the sample size increase. For the case where the process distribution is exponential with known mean the Type I risk and Type II risk of the proposed R chart are closer to those of the exact R chart than those of the weighted variance and skewness correction R charts.
    Relation: Brazilian journal of probability and statistics 22(1), pp.9-22
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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