拙著：数学教員のための確率論[改訂版], 岡山大学出版会, 2025

正誤表：数学教員のための確率論[改訂版]

ページ	誤	正
p.58:l.-1	\( \begin{equation*} = 1-e^{-\lambda}\left( 1+\lambda t + \frac{\lambda^2 t^2}{2!}+\cdots+\frac{\lambda^{n-1}t^{n-1}}{(n-1)!} \right) . \end{equation*} \)	\( \begin{equation*} = 1-e^{-\lambda t}\left( 1+\lambda t + \frac{\lambda^2 t^2}{2!}+\cdots+\frac{\lambda^{n-1}t^{n-1}}{(n-1)!} \right) . \end{equation*} \)
p.92:l.7	Bernoulli分布 \( \mathrm{Bin}(\theta) \quad(\theta\in[0,1]) \)	Bernoulli分布 \( \mathrm{Ber}(\theta) \quad(\theta\in[0,1]) \)
p.155:l.5-6	\( \begin{equation*} \begin{split} & \left\{\begin{array}{c|c} (\omega_1,\cdots,\omega_n) \in \Omega^n & X_{(k)}((\omega_1,\cdots,\omega_n)) \leq x \end{array}\right\} \\&= \left\{\begin{array}{c|c} (\omega_1,\cdots,\omega_n) \in \Omega^n & X_{(1)}((\omega_1,\cdots,\omega_n)),\cdots, X_{(k)}((\omega_1,\cdots,\omega_n)) \leq x \end{array}\right\} \end{split} \end{equation*} \)	\( \begin{equation*} \begin{split} & \left\{\begin{array}{c|c} (\omega_1,\cdots,\omega_n) \in \Omega^n & X_{k:n}((\omega_1,\cdots,\omega_n)) \leq x \end{array}\right\} \\&= \left\{\begin{array}{c|c} (\omega_1,\cdots,\omega_n) \in \Omega^n & X_{1:n}((\omega_1,\cdots,\omega_n)),\cdots, X_{k:n}((\omega_1,\cdots,\omega_n)) \leq x \end{array}\right\} \end{split} \end{equation*} \)
p.155:l.10-11	\( \begin{equation*} \begin{split} & \left\{\begin{array}{c|c} (\omega_1,\cdots,\omega_n) \in \Omega^n & X_{(k)}((\omega_1,\cdots,\omega_n)) \geq x \end{array}\right\} \\&= \left\{\begin{array}{c|c} (\omega_1,\cdots,\omega_n) \in \Omega^n & X_{(k)}((\omega_1,\cdots,\omega_n)),\cdots, X_{(n)}((\omega_1,\cdots,\omega_n)) \geq x \end{array}\right\} \end{split} \end{equation*} \)	\( \begin{equation*} \begin{split} & \left\{\begin{array}{c|c} (\omega_1,\cdots,\omega_n) \in \Omega^n & X_{k:n}((\omega_1,\cdots,\omega_n)) \geq x \end{array}\right\} \\&= \left\{\begin{array}{c|c} (\omega_1,\cdots,\omega_n) \in \Omega^n & X_{k:n}((\omega_1,\cdots,\omega_n)),\cdots, X_{n:n}((\omega_1,\cdots,\omega_n)) \geq x \end{array}\right\} \end{split} \end{equation*} \)
p.188:l.-11	\(\displaystyle \bigl| \mathbb{E}[f(Z)] - \mathbb{E}[f(W)] \bigr| \leq \frac{\|f\|_3}{\sqrt{n}}(\kappa_3[X]+\kappa_3[Y]) \leq \frac{105}{2m^3\sqrt{n}}(\kappa_3[X]+\frac{4}{\sqrt{2\pi}}) \)	\(\displaystyle \bigl| \mathbb{E}[f(Z)] - \mathbb{E}[f(W)] \bigr| \leq \frac{\|f\|_3}{6\sqrt{n}}(\kappa_3[X']+\kappa_3[Y]) \leq \frac{35}{4m^3\sqrt{n}}(\kappa_3[X']+\frac{4}{\sqrt{2\pi}}) \)
p.252:l.2	\( f:\Omega\rightarrow\mathbb{R} \) とする.	\( f:\Omega\rightarrow S \) とする.