We consider a strictly stationary random field on the two-dimensional integer lattice with regularly varying marginal and finite-dimensional distributions. Exploiting the regular variation, we define the spatial extremogram which takes into account only the largest values in the random field. This extremogram is a spatial autocovariance function. We define the corresponding extremal spectral density and its estimator, the extremal periodogram. Based on the extremal periodogram, we consider the Whittle estimator for suitable classes of parametric random fields including the Brown-Resnick random field and regularly varying max-moving averages.

翻译：我们考虑在二维整形阵列上有一个严格的固定随机场, 经常有不同边际和有限维分布。 利用常规变异, 我们定义只考虑随机场中最大值的空间外线图。 这个外线图是一个空间自动变异功能。 我们定义对应的极光谱密度及其估计值, 即极光谱周期图。 根据极光周期图, 我们考虑用 Whittle 估计器来选择合适的参数随机场, 包括棕色- Resnick 随机场, 并经常改变最大移动平均数 。