Figure 4

The densities \(\wp ^{(\mathrm{HF})}(t,\Delta t)\), \(\wp _{\mathcal{W}}(t,\Delta t)\) and the excess probability \(x^{(\mathrm{HF})}_{\mathcal{W}}(t,\Delta t)\), where \(\Delta t=2\) with the following symbol code: (—) lines represent \(\mathcal{W}=1\), \((-\cdot \cdot -)\) lines represent \(\mathcal{W}=2\), \((- \phantom{.} - \phantom{.} -)\) lines represent \(\mathcal{W}=3\); thin lines represent \(\wp ^{(\mathrm{HF})}(t,\Delta t)\), thick lines represent \(\wp _{\mathcal{W}}(t,\Delta t)\), and thick lines with ∘ represent \(x^{(\mathrm{HF})}_{\mathcal{W}}(t,\Delta t)\). The brackets signal the location of \(\wp (t,\Delta t)\), \(\wp _{\mathcal{W}}(t,\Delta t)\), and \(x^{(\mathrm{HF})}_{\mathcal{W}}(t,\Delta t)\) in the plot. The plot has been constructed with \(M=10^{4}\) simulations