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Statistical properties of the sunshine number illustrated with measurements from Timisoara (Romania)

机译：蒂米什瓦拉（罗马尼亚）的测量值说明了日照数的统计性质

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摘要

The sunshine number is a Boolean random parameter stating whether the sun is covered or not by clouds. The first four statistical moments of the sunshine number are theoretically derived as a function of a single parameter, the cloud shade. Alternately, this single parameter may be the total cloud cover amount. These parameters are very often measured by the meteorological stations. Time series of global and diffuse solar irradiance recorded at 15-second time intervals between sunrise and sunset during all the days in 2009 in the Romanian town of Timisoara are used to validate the theory. In case of cloud shade representation, there is very good agreement between theory and measurements for all statistical indicators, for all summer and winter days analyzed here, which belong to various classes of cloud shade. In case of cloud cover amount representation, there is a good concordance between theory and measurements when the skewness is considered. In case of the variance and the kurtosis, the concordance is still reasonable. Three types of probability distributions for the sunshine number values have been defined. They were evaluated by using the existing sunshine number database and best fit analytical relationships have been obtained.
机译：阳光值是一个布尔型随机参数，用于说明太阳是否被云遮盖。理论上，日照数的前四个统计矩是根据单个参数（云阴影）得出的。或者，此单个参数可以是总云量。这些参数通常由气象站测量。使用罗马尼亚蒂米什瓦拉镇在2009年的所有日中，在日出和日落之间的15秒时间间隔内记录的全球和散布太阳辐照度的时间序列可用于验证该理论。对于云阴影表示，在这里分析的所有夏季和冬季，所有统计指标的理​​论和测量值之间都具有很好的一致性，属于各种类别的云阴影。在云量表示的情况下，当考虑偏度时，理论与测量之间具有良好的一致性。对于方差和峰度，一致性仍然是合理的。已经定义了三种类型的日照数值的概率分布。通过使用现有的日照数数据库对它们进行了评估，并获得了最佳拟合分析关系。

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