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Table 5 Sample result for IBM stock dataset using jump analysis method

From: An integrated new threshold FCMs Markov chain based forecasting model for analyzing the power of stock trading trend

Sample Threshold Values of ‘φ’

Output Pattern ‘Y

Final Vector

Rank

Output Pattern ‘Y

Final Vector

Rank

for N = 6

for \( \left(1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

5–0

for N = 8

for \( \left(1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

5–0

0.0078125

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

−0.0078125

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

0.1

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

−0.1

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

5

0.1875

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

−0.1875

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\right) \)

5

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

5

0.375

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

4

−0.375

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\right) \)

5

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

5

1.0625

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

3

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\kern0.5em 0\right) \)

3

−1.0625

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\right) \)

2

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 0\kern0.5em 0\right) \)

2

2

\( \left\{\uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\right) \)

1

\( \left\{\uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \kern0.5em \uparrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\right) \)

1

−2

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\right) \)

1

\( \left\{\downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \kern0.5em \downarrow \right\} \)

\( \left(1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\kern0.5em 1\right) \)

1