Shannon

Define the modified cdf \(\overline{F}(x)\) based on the standard cdf \(F(x)\): \[\overline{F}(x)=\sum_{a<x}p(a)+\frac{1}{2}p(x)=F(x-1)-\frac{1}{2}p(x ......

From section 5.3, we have \(l_i^*=-\log_D p_i\), but it may not be integer, and we should choose \(l_i\) close to \(l_i^*\). So round it up using the ......

Shannon多样性指数是一种常用的衡量生物多样性的指标，它综合了物种丰富度（species richness）和物种均匀度（species evenness）两个方面的信息，反映了一个群落中物种的多样性和相对重要性。​ 其中，S是物种数，pi​是第i个物种的相对丰度，即该物种的个体数占总个体数的比 ......

````python #!/usr/bin/env python3 # -*- coding: utf-8 -*- """ Created on Fri Jun 26 16:05:57 2020 @author: vkchlt0297 """ from matplotlib import pyplo ......