This article comments on the work of Schoenberg FP et al., “On the distribution of wildfire sizes. Environmetrics. 2003;14:e605. https://doi.org/10.1002/env.605.” These comments are mainly about both numerical and visual goodness‐of‐fit criteria, used for comparing the performance of candidate distributions for wildfire sizes. First, the maximum likelihood estimate of the half‐normal distribution and its corresponding goodness‐of‐fit criterions are corrected. Then, the given values of the Akaike information criterion for all fitted models are modified. Furthermore, some comments on the inappropriateness of naming the proposed statistic under the “Cramer–von Mises (C‐vM) statistic” are given. After presenting the C‐vM statistic, its values and the corresponding p values, which show the goodness‐of‐fit–proposed distributions for describing the data, are calculated. At the end, the asymptotic confidence bounds for the “fitted comparison line” in quantile–quantile plots of two best‐fitted distributions are given. Comparing these asymptotic bounds with their counterparts in Schoenberg et al., named “Confidence bounds based on Monte Carlo simulation,” bear great similarity in the position of the end points, while creating them cost relatively much cheaper computations.

中文翻译：

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对勋伯格等人的评论。(2003)

本文评论了 Schoenberg FP 等人的工作，“关于野火大小的分布。环境计量学。2003；14：e605。https://doi.org/10.1002/env.605。” 这些评论主要是关于数值和视觉拟合优度标准，用于比较野火大小的候选分布的性能。首先，修正半正态分布的最大似然估计及其相应的拟合优度标准。然后，修改所有拟合模型的 Akaike 信息准则的给定值。此外，还对在“Cramer-von Mises (C-vM) 统计”下命名拟议统计的不当之处给出了一些评论。在呈现 C-vM 统计量、其值和相应的 p 值后，它们显示了用于描述数据的拟合优度建议分布，被计算。最后，给出了两个最佳拟合分布的分位数-分位数图中“拟合比较线”的渐近置信界限。将这些渐近边界与 Schoenberg 等人的“基于蒙特卡罗模拟的置信边界”进行比较，在端点的位置上具有很大的相似性，同时创建它们的计算成本相对便宜得多。