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Latest revision as of 15:21, 24 February 2008

Art. 2007-027

eqn0: $h_{p}^{2}$
eqn1: $N(0,\sigma _{w}^{2})$
eqn2: $\sigma _{w}^{2}$
eqn3: $\sigma _{G}^{2}$
eqn4: $\sigma _{G}^{2}=\sigma _{A}^{2}+\sigma _{D}^{2}$
eqn5: $\sigma _{A}^{2}$
eqn6: $\sigma _{A}^{2}=\sum _{l=1}^{20}a_{l}^{2}/2$
eqn7: $\sigma _{A}^{2}=L/2$
eqn8: $\sigma _{D}^{2}$
eqn9: $\sigma _{D}^{2}=0$
eqn10: $h_{F}{_{2}}^{2}$
eqn11: $e\sim N(0,\sigma _{e}^{2})$
eqn12: $\sigma _{e}^{2}$
eqn13: $\sigma _{w}^{2}/\sigma _{e}^{2}$
eqn14: $\sigma _{p}^{2}$
eqn15: $(\sigma _{p}^{2}=7/4\sigma _{A}^{2})$
eqn16: $\sigma _{d}^{2}$
eqn17: $(\sigma _{D}^{2}=\sigma _{Gd}^{2}+\sigma _{w}^{2})$
eqn18: $\sigma _{Gd}^{2}$
eqn19: $\sigma _{Gd}^{2}=1/8\sigma _{A}^{2}$
eqn20: $(h_{F}{_{2}}^{2})$
eqn21: ${\textrm {\textbf {y}}}+{\textrm {\textbf {X}}}\beta +{\textrm {\textbf {Za}}}+{\textrm {\textbf {e}}}$
eqn22: $a\sim N(0,G)$
eqn23: $G=A\sigma _{a}^{2}$
eqn24: $e\sim N(0,R)$
eqn25: $R=I\sigma _{e}^{2}$
eqn26: $I\sigma _{p}^{2}$
eqn27: $\sigma _{a}^{2}$
eqn28: $(\sigma _{p}^{2})$
eqn29: ${\textrm {\textbf {A}}}\sigma _{A}^{2}$
eqn30: $(\sigma _{A}^{2})$
eqn31: $\otimes$
eqn32: ${\hat {\textbf {a}}}$
eqn33: $({\hat {\beta }})$
eqn34: $h_{p}^{2}\geq 50\%$
eqn35: ${\sqrt {h_{p}^{2}}}$
eqn36: $({\sqrt {h_{p}^{2}}})$
eqn37: ${\hat {h_{p}^{2}}}$
eqn38: ${\hat {\sigma _{p}^{2}}}$
eqn39: $\left[E{\textrm {(}}{\textbf {a}})=0\right]$
eqn40: $E({\hat {\textbf {a}}})=E({\textbf {a}})$
eqn41: ${\hat {\textbf {a}}}$
eqn42: $\left[E{\hat {{\textrm {(}}{\textbf {a}})}}={\textrm {(}}{\textbf {a}})\right]$
eqn43: $h_{p}^{2}\to 100\%$
eqn44: ${\hat {\textbf {a}}}=E({\textbf {a/y}})\to {\textbf {a}}$
eqn45: $h_{p}^{2}\to 0$
eqn46: ${\hat {\textbf {a}}}=E({\textbf {a/y}})\to 0$

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+Art. 2007-027
-* fig0: <math>Var (\hat r)=[\hat r(1+2\hat r )^2 / 2n]</math>
-* fig1: <math>\hat r</math>
+* eqn0: <math>h_p^2 </math>
-* fig2: <math>\hat r = R / [2(1 - R)]</math>
+* eqn1: <math>N(0, \sigma_w^2)</math>
+* eqn2: <math>\sigma_w^2</math>
+* eqn3: <math>\sigma_G^2</math>
+* eqn4: <math>\sigma_G^2 = \sigma_A^2 + \sigma_D^2</math>
+* eqn5: <math>\sigma_A^2</math>
+* eqn6: <math>\sigma_A^2 = \sum_{l=1}^{20} a_l^2 / 2</math>
+* eqn7: <math>\sigma_A^2 = L/2</math>
+* eqn8: <math>\sigma_D^2</math>
+* eqn9: <math>\sigma_D^2 = 0</math>
+* eqn10: <math>h_F{_2} ^2</math>
+* eqn11: <math>e \sim N(0, \sigma _e^2)</math>
+* eqn12: <math>\sigma _e^2</math>
+* eqn13: <math>\sigma _w^2 / \sigma _e^2</math>
+* eqn14: <math>\sigma_p^2</math>
+* eqn15: <math>(\sigma_p^2 = 7/4 \sigma_A^2)</math>
+* eqn16: <math>\sigma_d^2</math>
+* eqn17: <math>(\sigma_D^2 = \sigma_{Gd}^2 + \sigma_w^2)</math>
+* eqn18: <math>\sigma_{Gd}^2</math>
+* eqn19: <math>\sigma_{Gd}^2 = 1/8 \sigma_A^2</math>
+* eqn20: <math>(h_F{_2} ^2)</math>
+* eqn21: <math>\textrm {\textbf{y}} + \textrm {\textbf{X}} \beta + \textrm {\textbf{Za}} + \textrm {\textbf{e}}</math>
+* eqn22: <math>a \sim N(0, G)</math>
+* eqn23: <math>G = A \sigma_a^2</math>
+* eqn24: <math>e \sim N(0, R)</math>
+* eqn25: <math>R = I \sigma_e^2</math>
+* eqn26: <math>I \sigma_p^2</math>
+* eqn27: <math>\sigma_a^2</math>
+* eqn28: <math>(\sigma_p^2)</math>
+* eqn29: <math>\textrm {\textbf{A}}\sigma_A^2</math>
+* eqn30: <math>(\sigma_A^2)</math>
+* eqn31: <math>\otimes</math>
+* eqn32: <math>{\hat{\textbf{a}}}</math>
+* eqn33: <math>(\hat{\beta})</math>
+* eqn34: <math>h_p^2 \geq 50\%</math>
+* eqn35: <math>\sqrt {h_p^2}</math>
+* eqn36: <math>(\sqrt {h_p^2})</math>
+* eqn37: <math>\hat{h_p^2}</math>
+* eqn38: <math>\hat{\sigma_p^2}</math>
+* eqn39: <math>\left[ E\textrm(\textbf{a}) = 0 \right]</math>
+* eqn40: <math>E (\hat{\textbf{a}}) = E({\textbf{a}})</math>
+* eqn41: <math>\hat{\textbf{a}}</math>
+* eqn42: <math>\left[ E \hat{\textrm(\textbf{a})} = \textrm(\textbf{a}) \right]</math>
+* eqn43: <math>h_p^2 \to 100\%</math>
+* eqn44: <math>\hat{\textbf{a}}=E(\textbf{a/y}) \to \textbf{a}</math>
+* eqn45: <math>h_p^2 \to 0</math>
+* eqn46: <math>\hat{\textbf{a}}=E(\textbf{a/y}) \to 0</math>