A planar stationary and isotropic STIT tessellation at time t > 0 is observed in the window \(W_{\rho }={t^{-1}}\sqrt {\pi \ \rho }\cdot [-\frac {1}{2},\frac {1}{2}]^{2}\), for ρ > 0. With each cell of the tessellation, we associate the inradius, which is the radius of the largest disk contained in the cell. Using the Chen-Stein method, we compute the limit distributions of the largest order statistics for the inradii of all cells whose nuclei are contained in W_ρ as ρ goes to infinity.

中文翻译：

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各向同性STIT细分中的最大辐射阶数统计

一种平面固定的和各向同性STIT镶嵌在时间吨> 0在该窗口观察\（W _ {\ RHO} = {吨^ { - 1}} \ SQRT {\ PI \ \ RHO} \ CDOT [ - \压裂{1 } {2}，\ frac {1} {2}] ^ {2} \），对于ρ >0。对于镶嵌的每个像元，我们将半径与该像元相关联，该半径是该像元中包含的最大磁盘的半径。使用陈斯坦方法，我们计算的最大的订单统计的极限分布对于其细胞核中包含的所有细胞的inradii w ^ _ρ为ρ趋于无穷。