一般分支阶的Horton-Strahler分支比的中心极限定理
Central limit theorem for the Horton-Strahler bifurcation ratio of general branch order
摘要:
Horton-Strahler排序方法起源于水文学,使用称为分叉比的数量来制定分支模式的层次结构。本文的主要结果是一般分支阶分支比的中心极限定理。这是以前证明的最低分歧比的中心极限定理的推广形式。在主要定理的证明中,还导出了一些有用的关系式。
英文摘要:
The Horton-Strahler ordering method, originating in hydrology, formulates the hierarchical structure of branching patterns using a quantity called the bifurcation ratio. The main result of this paper is the central limit theorem for bifurcation ratio of general branch order. This is a generalized form of the central limit theorem for the lowest bifurcation ratio, which was previously proved. Some useful relations are also derived in the proofs of the main theorems.
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