Figure 1.

Plot of ${\mathrm{\Delta }}_{ij}^{\ast }(\theta ,{\mathcal{F}}_j)$ and ${\stackrel{\sim }{V}}_{ij}^{\ast }(\theta ,{\mathcal{F}}_j)$ the “smooth” approximations to ${\mathrm{\Delta }}_{ij}(\theta ,{\mathcal{F}}_j)=I\{{\stackrel{\sim }{R}}_{ij}(\theta )<C_{ij}^{\ast }(\theta ,{\mathcal{F}}_j)\}$ and ${\stackrel{\sim }{V}}_{ij}(\theta ,{\mathcal{F}}_j)=min\{{\stackrel{\sim }{R}}_{ij}(\theta ),C_{ij}^{\ast }(\theta ,{\mathcal{F}}_j)\}$, respectively, as a function of R˜_ij where $C_{ij}^{\ast }(\theta ,{\mathcal{F}}_j)=500$ and ε = 50.