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Table 2 Fitting parameters of the scaling relation Eq. (19).

From: Local sequence alignments statistics: deviations from Gumbel statistics in the rare-event tail

Parameter

BLOSUM62 α = 10, β = 1

BLOSUM62 α = 12, β = 1

a

0.00928 ± 0.0001

0.0309 ± 0.01

b

0.643 ± 0.027

0.971 ± 0.08

10-5 λ 2 ∗ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWF7oaBdaqhaaWcbaGaeGOmaidabaGaey4fIOcaaaaa@3075@

4.9 ± 1.2

3.2 ± 2.0

Parameter

PAM250 α = 11, β = 3

PAM250 α = 13, β = 3

a

0.0049 ± 0.0008

0.0053 ± 0.0005

b

0.575 ± 0.046

0.591 ± 0.023

10-5 λ 2 ∗ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWF7oaBdaqhaaWcbaGaeGOmaidabaGaey4fIOcaaaaa@3075@

3.015 ± 2.0

6.1 ± 1.1