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Table 1 The fitting parameters for the mass exponent τ(q) are listed. The column-a1 is the fractal dimension for the time series. In each case the fractal dimension agrees with that obtained earlier using a different method [7]. The last two columns denote the Lévy index and the statistical significance of the comparison of the empirical and theoretical values is p = 0.01

From: Fractional Langevin model of gait variability

Walker

-a1

a2

Empirical Lévy index

Theoretical Lévy index

1

1.26

0.13

1.57

1.52

2

1.41

0.19

1.57

1.82

3

1.32

0.09

1.83

1.64

4

1.26

0.24

1.54

1.52

5

1.12

0.28

1.47

1.24

6

1.07

0.07

1.84

1.14

7

1.17

0.07

1.69

1.34

8

1.29

0.27

1.39

1.58

9

1.14

0.12

1.63

1.28

10

1.17

0.12

1.64

1.34

Averages

1.21 ± 0.10

0.15 ± 0.07

1.61 ± 0.15

1.44 ± 0.21