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Table 12 Song test results for the risk measure \(T_c^{s}\) computed on Tesla real data, considering \(M=30\%\), \(M=40\%\), \(M=80\%\). \(Z_0\) is the statistic test value under the null hypothesis

From: Drawdown-based risk indicators for high-frequency financial volumes

\(T_c^{s}\) - TESLA

\(M=30\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

\(s=3\) vs \(s=5\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

2.5728

\(s=3\) vs \(s=50\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

4.4457

\(s=3\) vs \(s=100\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

5.1748

\(M=40\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

\(s=3\) vs \(s=5\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

4.3123

\(s=3\) vs \(s=50\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

4.4484

\(s=3\) vs \(s=100\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

5.4716

\(M=80\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

\(s=3\) vs \(s=5\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

3.4264

\(s=3\) vs \(s=50\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

5.5782

\(s=3\) vs \(s=100\)

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

6.0178