方針
f_Y(y)=f_Y(-y)より分布は左右対称．その中心が期待値である．
答案
y=x-muとおくと，f_Y(y)=f_Y(-y)より，
\mathbb{E}_{Y\sim f_Y}[Y]=0\Rightarrow\mathbb{E}_{X\sim f_X}[X]=\mu
参考文献
- 『現代数理統計学の基礎』(久保川達也 著)
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