Diurnal temperature range is an important variable in climate science that can provide information regarding climate variability and climate change. Changes in diurnal temperature range can have implications for hydrology, human health and ecology, among others. Yet, the statistical literature on modeling diurnal temperature range is lacking. In this article we propose to model the distribution of diurnal temperature range using the five-parameter lambda (FPL) distribution. Additionally, in order to model diurnal temperature range with explanatory variables, we propose a distributional quantile regression model that combines quantile regression with marginal modeling using the FPL distribution. Inference is performed using the method of quantiles. The models are fitted to 30 years of daily observations of diurnal temperature range from 112 weather stations in the southern part of Norway. The flexible FPL distribution shows great promise as a model for diurnal temperature range, and performs well against competing models. The distributional quantile regression model is fitted to diurnal temperature range data using geographic, orographic, and climatological explanatory variables. It performs well and captures much of the spatial variation in the distribution of diurnal temperature range in Norway.

中文翻译：

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具有五参数 lambda 分布的基于分位数的昼夜温度范围建模

昼夜温差是气候科学中的一个重要变量，可以提供有关气候变率和气候变化的信息。昼夜温度范围的变化可能对水文、人类健康和生态等产生影响。然而，缺乏关于模拟昼夜温度范围的统计文献。在本文中，我们建议使用五参数 λ (FPL) 分布来模拟昼夜温度范围的分布。此外，为了使用解释变量对昼夜温度范围进行建模，我们提出了一种分布分位数回归模型，该模型将分位数回归与使用 FPL 分布的边际建模相结合。推理是使用分位数的方法进行的。这些模型适用于挪威南部 112 个气象站 30 年的每日昼夜温度范围观测。灵活的 FPL 分布显示出作为昼夜温度范围模型的巨大潜力，并且与竞争模型相比表现良好。使用地理、地形和气候解释变量将分布分位数回归模型拟合到昼夜温度范围数据。它表现良好，并捕捉到了挪威昼夜温度范围分布的大部分空间变化。和气候解释变量。它表现良好，并捕捉到了挪威昼夜温度范围分布的大部分空间变化。和气候解释变量。它表现良好，并捕捉到了挪威昼夜温度范围分布的大部分空间变化。