A distribution free plotting position
學年 90
學期 1
出版（發表）日期 2001-12-01
作品名稱 A distribution free plotting position
作品名稱（其他語言）
著者 虞國興; Yu, Gwo-hsing; Huang, C. C.
單位 淡江大學水資源及環境工程學系
出版者 Springer
著錄名稱、卷期、頁數 Stochastic environmental research and risk assessment 15(6), pp.462-476
摘要 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).
關鍵字
語言 en
ISSN 1436-3240
期刊性質 國外
收錄於
產學合作
通訊作者
審稿制度 否
國別 DEU
公開徵稿
出版型式 ,電子版,紙本
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