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. Author manuscript; available in PMC: 2021 Feb 11.
Published in final edited form as: Hum Hered. 2020 Feb 11;84(3):127–143. doi: 10.1159/000504171

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 + 4c1c + 8cln(12+12c)(1c)2
|d| 32 − ln 2 ≈ 0.80685 1, if c ⩽ 0.5; (4c1)(1c)c, if c > 0.5
ρ 1 1
r2/rmax2 1 1