2022-05

\(\mu=\ln \theta\)なので、\(X \sim N(\ln \theta, 1)\)で、 \(L(\theta)=\displaystyle \prod_{i=1}^n f(x_i)\) \(\displaystyle = \...

\(\displaystyle E=\int^1_0 xf(x)dx\) \(\displaystyle =\int^1_0 \frac{x^a(1-x)^{b-1}}{B(a,b)}dx\) \(\displaystyle =\frac{...

\(\displaystyle E=\int^\infty_0 tf(t)dt\) \(=\mu\) \(\displaystyle P(T=\tau|T>t)=\frac{P(T=\tau>t)}{P(T>t)}\) \(\display...

\(\displaystyle E=\int^\infty_0 xf(x)dx\) \(\displaystyle =\int^\infty_0 \lambda x e^{-\lambda x}dx=\frac{1}{\lambda}\) ...