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Table 1 Comparison of theoretical and empirical pattern statistic mean and standard deviation on Escherichia coli K12.

From: Pattern statistics on Markov chains and sensitivity to parameter estimation

m S σ S ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacuWGtbWugaqcaaaa@2DEB@ σ ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacuWFdpWCgaqcaaaa@2E86@
1 35.57 0.28 35.57 0.27
2 31.61 0.49 31.60 0.50
3 46.75 1.04 46.77 1.03
4 45.33 1.74 45.32 1.81
5 62.27 3.45 62.36 3.34
  1. We consider the pattern W = acgtacgt with Nobs = 150. The sequence length is ℓ = 4639675, we use an order m Markov model and a sample of size M = 1 000.