Skip to main content

Table 1 Fit parameters of the modified Gumbel distribution Eq. (18) using the BLOSUM62 scoring matrix and affine gap costs with α = 10, β = 1 . 104 λ 2 extra MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWF7oaBdaqhaaWcbaGaeGOmaidabaGaeeyzauMaeeiEaGNaeeiDaqNaeeOCaiNaeeyyaegaaaaa@3671@ describes the estimated value of λ2 using the scaling relation Eq. (19). Fit parameters for other scoring systems are provided as supplementary material to this artilce [see additional file 1].

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

L, M λ 104 λ2 K S0 χ 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFhpWydaqhaaWcbaGaey4fIOcabaGaeGOmaidaaaaa@3078@ 104 λ 2 extra MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWF7oaBdaqhaaWcbaGaeGOmaidabaGaeeyzauMaeeiEaGNaeeiDaqNaeeOCaiNaeeyyaegaaaaa@3671@
40 0.3272 ± 0.108% 8.6347 ± 0.412% 0.1028 ± 0.65% 15.597 ± 0.0676% 79.05 8.1560 ± 12.485%
60 0.3034 ± 0.086% 6.2007 ± 0.285% 0.0751 ± 0.60% 18.455 ± 0.0645% 49.40 6.1711 ± 12.907%
80 0.2892 ± 0.070% 4.8781 ± 0.222% 0.0612 ± 0.53% 20.644 ± 0.0540% 21.67 5.0458 ± 13.280%
100 0.2747 ± 0.072% 4.3187 ± 0.330% 0.0472 ± 0.58% 22.413 ± 0.0611% 39.42 4.3056 ± 13.627%
150 0.2541 ± 0.083% 3.2974 ± 0.529% 0.0303 ± 0.61% 25.682 ± 0.0422% 39.46 3.2047 ± 14.437%
200 0.2432 ± 0.063% 2.6343 ± 0.344% 0.0241 ± 0.52% 28.257 ± 0.0412% 10.47 2.5806 ± 15.214%
250 0.2359 ± 0.071% 2.1999 ± 0.454% 0.0198 ± 0.60% 30.196 ± 0.0459% 9.40 2.1701 ± 15.984%
300 0.2303 ± 0.061% 1.9101 ± 0.348% 0.0174 ± 0.54% 31.934 ± 0.0408% 2.00 1.8758 ± 16.758%
350 0.2261 ± 0.046% 1.6404 ± 0.239% 0.0153 ± 0.41% 33.334 ± 0.0300% 1.27 1.6525 ± 17.544%
400 0.2224 ± 0.052% 1.4806 ± 0.266% 0.0136 ± 0.49% 34.556 ± 0.0369% 1.36 1.4762 ± 18.347%
600 0.2140 ± 0.062% 1.0206 ± 0.384% 0.0106 ± 0.64% 38.561 ± 0.0472% 2.15 1.0250 ± 21.787%
800 0.2090 ± 0.063% 0.7660 ± 0.419% 0.0088 ± 0.67% 41.320 ± 0.0457% 1.82 0.7691 ± 25.697%