估计值

均方误差

$\frac{\overline{y}}{{\overline{x}}^a}{\overline{X}}^a$

$\frac{{\overline{Y}}^2\left(1-f\right)}{n}\left[C_Y^2+a^2{C}_X^2-2a\rho C_X{C}_Y\right]$

$\overline{y}\frac{\overline{X}+C_X}{\overline{x}+C_X}$

$\frac{{\overline{Y}}^2\left(1-f\right)}{n}\left[C_Y^2+{\left(\frac{\overline{X}}{\overline{X}+C_X}\right)}^2{C}_X^2-2\rho \frac{\overline{X}}{\overline{X}+C_X}\frac{C_Y}{C_X}\right]$

$\frac{\overline{y}+b\left(\overline{X}-\overline{x}\right)}{\overline{x}}\overline{X}$

$\frac{1-f}{n}\left[\frac{{\overline{Y}}^2}{{\overline{X}}^2}{S}_X^2+S_Y^2\left(1-{\rho }^2\right)\right]$

$\frac{\overline{y}+b\left(\overline{X}-\overline{x}\right)}{\overline{x}+\rho }\left(\overline{X}+\rho \right)$

$\frac{1-f}{n}\left[\frac{{\overline{Y}}^2}{{\left(\overline{X}+\rho \right)}^2}{S}_X^2+S_Y^2\left(1-{\rho }^2\right)\right]$

$\frac{\overline{y}+b\left(\overline{X}-\overline{x}\right)}{\overline{x}+C_X}\left(\overline{X}+C_X\right)$

$\frac{1-f}{n}\left[\frac{{\overline{Y}}^2}{{\left(\overline{X}+C_X\right)}^2}{S}_X^2+S_Y^2\left(1-{\rho }^2\right)\right]$

$\frac{\overline{y}+b\left(\overline{X}-\overline{x}\right)}{C_X\overline{x}+\rho }\left(C_X\overline{X}+\rho \right)$

$\frac{1-f}{n}\left[\frac{{\left(C_X\overline{Y}\right)}^2}{{\left(C_X\overline{X}+\rho \right)}^2}{S}_X^2+S_Y^2\left(1-{\rho }^2\right)\right]$

$\frac{\overline{y}+b\left(\overline{X}-\overline{x}\right)}{\rho \overline{x}+C_X}\left(\rho \overline{X}+C_X\right)$

$\frac{1-f}{n}\left[\frac{{\left(\rho \overline{Y}\right)}^2}{{\left(\rho \overline{X}+C_X\right)}^2}{S}_X^2+S_Y^2\left(1-{\rho }^2\right)\right]$