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 = \pr...

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

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

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