Element | Expectation | |
---|---|---|
Uniform | U shaped | |
E[σ 2 m ] | 1/3 | k |
E[σ 4 m ] | 2/15 | k/3 |
E[ρ m ] | \( 1 - 2\frac{h}{\omega }\theta \) | \( \frac{k}{\omega }\theta \) |
E[ρ 2 m ] | \( \left( {\frac{4\theta }{\omega } + \frac{2}{h}} \right)\left( {\frac{1 + h}{1 + 4h}} \right)^{2} - \frac{4\theta h}{\omega } \) | \( \frac{k}{{\omega^{2} }}\left[ {\theta \left( {\omega - \frac{2h}{\omega }} \right) - 1} \right] \) |
E[ρ 2 m /σ 2 m ] | \( \frac{1}{{\omega^{2} }}\left[ {\theta \left( {\omega - \frac{2h}{\omega }} \right) - 1} \right] \) | \( \frac{k}{{2\omega^{3} }}\left\{ {2\theta + \frac{\omega }{h}} \right\} \) |