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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.