淡江大學機構典藏:Item 987654321/46442
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/46442


    Title: A distribution free plotting position
    Authors: 虞國興;Yu, Gwo-hsing;Huang, C. C.
    Contributors: 淡江大學水資源及環境工程學系
    Date: 2001-12
    Issue Date: 2010-03-29 14:17:58 (UTC+8)
    Publisher: Springer
    Abstract: Many plotting position formulae have been proposed for the past few decades. These formulae are derived or obtained under some specific assumption of probability distribution. Because in practice the data are often plotted in order to determine its probability distribution, it causes difficulty and confusion in selecting the plotting position formula. The objective of this study is to find a plotting position formula which is distribution free. In this study, the plotting position formulae corresponding to the order statistic mean, mode and median are investigated. The order statistic mean, mode and median values are determined by numerical integration and differentiation, and the corresponding plotting position formulae are obtained by regression analysis. The results indicate that both the plotting position formulae for the order statistic mean and mode vary with the distribution of data, but the plotting position formula for the order statistic median is distribution free. The distribution free plotting position formula for the order statistic median is proposed in this study as (i−0.326)/(n+0.348).
    Relation: Stochastic environmental research and risk assessment 15(6), pp.462-476
    DOI: 10.1007/s004770100083
    Appears in Collections:[Graduate Institute & Department of Water Resources and Environmental Engineering] Journal Article

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