diff --git "a/\347\254\25401\347\253\240 \347\273\237\350\256\241\345\255\246\344\271\240\346\226\271\346\263\225\346\246\202\350\256\272/1.Introduction_to_statistical_learning_methods.ipynb" "b/\347\254\25401\347\253\240 \347\273\237\350\256\241\345\255\246\344\271\240\346\226\271\346\263\225\346\246\202\350\256\272/1.Introduction_to_statistical_learning_methods.ipynb" index f66c3a5..7d3df12 100644 --- "a/\347\254\25401\347\253\240 \347\273\237\350\256\241\345\255\246\344\271\240\346\226\271\346\263\225\346\246\202\350\256\272/1.Introduction_to_statistical_learning_methods.ipynb" +++ "b/\347\254\25401\347\253\240 \347\273\237\350\256\241\345\255\246\344\271\240\346\226\271\346\263\225\346\246\202\350\256\272/1.Introduction_to_statistical_learning_methods.ipynb" @@ -406,7 +406,7 @@ "**伯努利模型的极大似然估计:** \n", "定义$P(Y=1)$概率为$p$,可得似然函数为:$$L(p)=f_D(y_1,y_2,\\cdots,y_n|\\theta)=\\binom{n}{k}p^k(1-p)^{(n-k)}$$方程两边同时对$p$求导,则:$$\\begin{aligned}\n", "0 & = \\binom{n}{k}[kp^{k-1}(1-p)^{(n-k)}-(n-k)p^k(1-p)^{(n-k-1)}]\\\\\n", - "& = \\binom{n}{k}[p^{(k-1)}(1-p)^{(n-k-1)}(m-kp)]\n", + "& = \\binom{n}{k}[p^{(k-1)}(1-p)^{(n-k-1)}(k-np)]\n", "\\end{aligned}$$可解出$p$的值为$p=0,p=1,p=k/n$,显然$\\displaystyle P(Y=1)=p=\\frac{k}{n}$ \n", "\n", "**伯努利模型的贝叶斯估计:** \n",