Table 4:
Mean maximum values and accessible regions for the five measures. The mean maximum value of a measure is its average maximum value over its prescribed domain, assuming pA and pB are independent and uniformly distributed over the domain. The accessible region of a measure for a constant c ∈ [0, 1] is defined as the proportion of the applicable domain in which the upper bound for the measure is greater than or equal to c.
Mean maximum value | Accessible region | |
---|---|---|
|D′| | 1 | 1 |
r2 | 2π2/3 − 4(ln 2)2 + 4 ln 2 − 7 ≈ 0.43051 | 1 + + |
|d| | − ln 2 ≈ 0.80685 | 1, if c ⩽ 0.5; , if c > 0.5 |
ρ | 1 | 1 |
1 | 1 |