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Regional Modelling of Extreme Storms Via Max-Stable Processes

通过最大稳定过程进行极端暴风雨的区域建模

SUMMARY Asymptotic models for extremes of random processes often form the basis for estimating the extremal behaviour of environmental phenomena. Most such phenomena have a spatial dimension, and the aim of this paper is to develop a procedure for modelling in continuous space the spatial dependence within extreme events. A principal objective in the analysis—as with other current research on extremes—is to base inference on as much of the available data as possible. The…

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On Goodness-of-Fit Tests for the Two-Parameter Weibull Distribution Derived from the Stabilized Probability Plot

基于稳定化概率图的双参数 Weibull 分布拟合优度检验

Michael's statistic Dsp, based on the stabilized probability plot, is considered for the assessment of goodness of fit of a two-parameter Weibull distribution. This statistic is shown to have high power when the parameters are estimated using a procedure due to Blom (1958). The correlation coefficient of the stabilized plot, Rsp, is also proposed as a test statistic for this situation. Finally a family of transformations is obtained to reduce the null distribution of Rsp to…

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On goodness-of-fit tests for the two-parameter Weibull distribution derived from the stabilized probability plot

基于稳定化概率图的双参数Weibull分布拟合优度检验

Michael's statistic Dsp, based on the stabilized probability plot, is considered for the assessment of goodness of fit of a two-parameter Weibull distribution. This statistic is shown to have high power when the parameters are estimated using a procedure due to Blom (1958). The correlation coefficient of the stabilized plot, Rsp, is also proposed as a test statistic for this situation. Finally a family of transformations is obtained to reduce the null distribution of Rsp to…

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