Table 2 Characteristics of the investigated scenarios
Scenario | Shape of θ(x) | Distribution of X |
|---|---|---|
1 | Linear: θ(x)=β(x−0.5) | \(\mathcal {U}(0,1)\) |
2 | Linear: θ(x)=β(x−0.5) | \(\mathcal {T}(0,1,1/3)\) |
3 | Concave: θ(x)=β(0.3−0.9(x−1)2) | \(\mathcal {U}(0,1)\) |
4 | Convex: θ(x)=β(−0.3+0.9x2) | \(\mathcal {U}(0,1)\) |