Bivariate extreme-value data and the station-year method
Bivariate extreme-value data and the station-year method
复制标题
双变量极值数据和站年法
DOI：
10.1016/0022-1694(84)90157-4
复制
发表时间：
1984
影响因子：
6.4
通讯作者：
T. Buishand
中科院分区：
文献类型：
--
作者：
T. Buishand
二元极值理论涉及极大值在两个不同位置的联合分布。在水文学中，当一个人想要应用站年方法来计算最大降雨量或最大洪水时，这一理论是很重要的。引入了一个相关函数，它直接与成对观测序列中最大值的分布有关。对于荷兰的1天降雨量，年最大值的形状与冬季(10月1日-3月31日)的最大值的形状有很大不同。对于年极大值的相关函数是这样的，只要稍作修改，就可以应用站-年法。另一方面，冬季极大值具有复杂的相关结构，目前还不清楚站年方法是如何受到影响的。
The theory of bivariate extremes is concerned with the joint distribution of maxima at two different sites. In hydrology, this theory is important when one wishes to apply the station-year method to rainfall or flood maxima.A dependence function is introduced which is directly related to the distribution of the largest value in a sequence of paired observations. The value of this function is found to be dependent on the event magnitude and the distance between stations.For 1-day rainfall amounts in The Netherlands the shape of the dependence function of the annual maxima is quite different from that of the maxima for the winter season (October 1–March 31). The dependence function for the annual maxima is such that the station-year method can be applied after a slight modification. On the other hand, the winter maxima have a complicated correlation structure from which it is not clear how the station-year method is affected.