← 返回数学题库
2933概率中等derivationmedium

Variance Recursion across Generations

题目

Let a branching process have offspring mean mm and variance σ2\sigma^2. Show that \[ \mathrm{Var}(Z_{n+1})=m^2\mathrm{Var}(Z_n)+\sigma^2 E[Z_n]. \]

解题计时

0:00

提交作答时记录,用于后续平均用时统计。