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Table 1 Number of samples needed for high-confidence approximation of Boltzmann probabilities

From: Maximum expected accuracy structural neighbors of an RNA secondary structure

P

K

ε

z

N

0.05

1

0.01

1.45

9506

0.05

100

0.01

3.48

30276

0.05

1000000

0.01

5.45

74256

0.001

100

0.01

3.89

37830

0.000001

100

0.01

5.73

82082

0.05

1

0.001

1.45

950600

0.05

100

0.001

3.48

3027600

  1. The number N=N ( ε , p , K ) = Φ - 1 p 2 K 2 4 ε 2 of samples sufficient to guarantee that |f k - p k | < ε with confidence 1 - p, for all 0 ≤ k < K, in the application RNAbor-Sample. Here p k = Z k Z , the Boltzmann probability, as computed exactly by RNAbor, for a k-neighbor of S0, and f k is the relative frequency of k-neighbors among N sampled structures.