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Table 15 Song test results for the risk measure \(R_t^{s}\) computed on Tesla real data, fixing \(M=80\%\) and considering \(M'=30\%\), \(M'=40\%\), \(M'=50\%\). \(Z_0\) is the statistic test value under the null hypothesis

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

\(R_t^{s}\) - TESLA

\(M=80\%-M'=30\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

3.3237

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

3.5664

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

3.7879

\(M=80\%-M'=40\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

2.6889

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

3.0386

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

3.1136

\(M=80\%-M'=50\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

2.7205

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

5.0314

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

4.9808