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. 2010 Feb 17;10:46. doi: 10.1186/1471-2148-10-46

Table 1.

Functions used to fit numerical data

Exponential[λ] Γ[a, b] β[a, b] Pareto[k, a] Lognormal[m, σ]
P(x) λe-λx Inline graphic Inline graphic Inline graphic Inline graphic

Q(x ≤ Λ) 1 - e-λΛ Inline graphic Inline graphic Inline graphic Inline graphic

We have used five different probability distribution functions to fit the numerically obtained effects of mutations on fitness. We show the functional form of the probability distribution (PDF) P(x) and the corresponding cumulative probability distribution (CPF), Inline graphic for each case. In our fits, we have used the latter, with parameters that yield the minimum least-squares deviation from our numerical results Inline graphic.