Data Analysis by Driven IFS

Exercise Answers

14. Here are equal size bin difference plots for differences of 1 (a), 2 (b), 3 (c), 4 (d), 5 (e), 10 (f), 50 (g), 100 (h), and 200 (i).
As the delay gets longer, the driven IFS fills more uniformly, though we see a clustering of points along the (1, 0) to (0, 1) line, and along the (0, 0) to (1, 1).
This is a signature of differences landing in bins 2 and 3, in all combinations, and in bins 1 and 4, in all combinations.
Comparing 13 (i) and 14 (i), we see with equal-size bins more differences fall in bins 2 and 3.
Consequently, converting to equal weight bins reduces the size of bins 2 and 3, allowing more transitions between bins 1 and 4.

(a) (b) (c)
(d) (e) (f)
(g) (h) (i)

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