🎲 Hypergeometric Distribution Illustrations | 超几何分布可视化

Figure 1: Box-Ball Sampling Model | 盒子小球抽样模型

50 20 10
Formula | 公式:
P(X = x) = C(K,x) × C(N-K,n-x) / C(N,n)

Figure 2: Probability Distribution | 概率分布图

🧬 Biology Example | 生物学例子:
In scRNA-seq: N = total mRNA molecules, K = gene X molecules, n = captured molecules
在单细胞测序中：N = 总mRNA分子数，K = 基因X的分子数，n = 捕获的分子数

Figure 3: Distribution Comparison | 分布对比

Distribution | 分布 Sampling | 抽样方式 Population | 总体 Biology Example | 生物学例子
Hypergeometric | 超几何 Without replacement | 无放回 Finite | 有限 scRNA-seq transcript sampling
Binomial | 二项 With replacement | 有放回 Finite | 有限 Genotype frequency
Poisson | 泊松 Theoretical infinite | 理论无限 Infinite | 无限 Rare mutation counts

Figure 4: scRNA-seq Application | 单细胞测序应用

🔬 Memento Method Innovation | Memento方法创新:
• Traditional: Assumes Poisson distribution (infinite molecules)
• Memento: Uses hypergeometric model (finite molecules in each cell)
• 传统方法：假设泊松分布（无限分子）
• Memento方法：使用超几何模型（每个细胞内分子数有限）