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Table 4 Correction parameter λ2 for the sum statistics k = 2 and k = 3. λ2 is estimated by a fit for Eq. (21) using optimal the Gumbel-parameters λ and S0 from optimal score statistics (k = 1). BLOSUM62 with affine gap costs (α = 12, β = 1) was used as scoring system.

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

L 104 λ 2 ( k = 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWF7oaBdaqhaaWcbaGaeGOmaidabaGaeiikaGIaem4AaSMaeyypa0JaeGOmaiJaeiykaKcaaaaa@348F@ 104 λ 2 ( k = 3 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWF7oaBdaqhaaWcbaGaeGOmaidabaGaeiikaGIaem4AaSMaeyypa0JaeG4mamJaeiykaKcaaaaa@3491@
60 2.692 ± 0.30%  
80 1.631 ± 0.63% 1.074 ± 2.59%
100 1.488 ± 0.23% 0.649 ± 2.06%
150 1.056 ± 0.06% 0.344 ± 1.90%
200 0.749 ± 0.13% 0.280 ± 1.14%
300 0.463 ± 0.15% 0.189 ± 0.70%
400 0.338 ± 0.29% 0.139 ± 0.92%