Driven IFS and Data Analysis

Driven IFS and the Taiwanese and Chinese Stock Markets

Wu analyzed the individual markets, applying the transformations in this fashion.
If the market drops more than 2.5% of its value, apply T1
If the market drops less than 2.5% of its value, apply T2
If the market rises less than 2.5% of its value, apply T3
If the market rises more than 2.5% of its value, apply T4
That is, in relation to the driven IFS
With this binning of the data (just a version of zero-centered bins), here are the driven IFS for the TAIEX and the SSE.

Several consequences are easily read from this graph.
(1) The SSE fluctuations are more often in the 2.5% or under range because the diagonal trend is strong and few points lie in squares 1 and 4.
(2) The TAIEX has more off-diagonal points, hence more fluctuations outside the 2.5% range.
(3) The relative populations of the TIAEX 41 abd 14 squares is interesting, but care must be exercised with the interpretations, because the data were entered from the present to the past. So a relatively large number of points in the 14 square means a large fall often was followed by a large rise. The near emptiness of the 41 subsquare means large gains were only rarely followed by large losses.

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