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Table 10 Song test results for the risk measure \(\tau ^{s}\) computed on Netflix 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

\(\tau ^{s}\) - NETFLIX

\(M=30\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

2.7477

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

4.2539

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

6.9665

\(M=40\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

2.4994

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

4.0489

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

4.0882

\(M=80\%\)

\(\alpha =0.10\)

\(\alpha =0.05\)

\(\alpha =0.01\)

\(Z_0\)

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

5.1460

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

5.2002

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

Reject \(H_{0}\)

Reject \(H_{0}\)

Reject \(H_{0}\)

5.1509