Figure 1: Hypothetical pulse sequence of a nuclear explosion or earthquake.

Figure 2: First panel (top): A seismogram of Event 054, a known ripple-fired mining explosion. Second panel: Enlargement of the pre-P_{n} noise. Third panel: Enlargement of the P_{n}-phase. Fourth panel: Enlargement of the L_{g}-phase.

Figure 3: Hypothetical pulse sequence of a ripple-fired seismic event.

Figure 4: A convolution example.

Figure 5: η ∼ Beta(43,5.67) and τ ∼ Gamma(5,4).

Figure 6: 32-point filter.

Figure 7: Unfiltered simulated underlying signals.

Figure 8: Spectra of the unfiltered simulated underlying signals.

Figure 9: Simulated ripple-fired data traces, using unfiltered signals. Note that low frequencies are contained in these series.

Figure 10: Spectra of the simulated ripple-fired traces. Note modulation in the spectra.

Figure 11: Filtered simulated underlying signals.

Figure 12: Spectra of the filtered simulated underlying signals.

Figure 13: Simulated ripple-fired data traces, using the filtered signals. Note these series do not contain obvious low frequencies.

Figure 14: Spectra of the simulated ripple-fired data traces. Note the modulation in the spectra.

Figure 15: Simulated array data y_{k}, k = 1, ..., q.

Figure 16: Simulated underlying signal-path effects s_{k}, k = 1, ..., q.

Figure 17: Top: True pulse sequence, a. Bottom: Estimates.

Figure 18: Solid: Simulated underlying signals-path effects sequence s_{k}, k = 1, .., q. Dots: Estimates ŝ_{k} shifted one point to the left.

Figure 19: Solid: Simulated trace y_{k}, k = 1, ..., q. Dots: Estimates, ŷ_{k}, shifted one point to the left.

Figure 20: Estimated additive noise on each channel, ε_{k}(t), t = (m − m), ..., (n − m).

Figure 21: Last 5,000 iterations in the Markov chains produced for a_{7}, a_{14}, a_{21}, and a_{28}.

Figure 22: Histograms of every 1,000 iterations, after “burn in,” for the nonzero values of a. The columns show the stability of the Markov chains for a_{7}, a_{14}, a_{21}, and a_{28}.

Figure 23: Posteriors of a_{j}, j = 1, ..., m.

Figure 24: Last 5,000 iterations in the Markov chain produced for ϕ_{1}, ϕ_{2}, and ϕ_{3}.

Figure 25: Histograms of every 1,000 iterations, after “burn in,” for ϕ. The columns show the stability of the Markov chains for ϕ_{1}, ϕ_{2}, and ϕ_{3}.

Figure 26: Posterior of ϕ_{1}, ϕ_{2}, and ϕ_{3}.

Figure 27: Last 5,000 iterations of the Markov chains for η and τ.

Figure 28: Histograms of every 1,000 iterations, after “burn in,” for η and τ.

Figure 29: Posteriors of η and τ.

Figure 30: Simulated data with no delayed signals.

Figure 31: Simulated underlying signal.

Figure 32: Top: “True” pulse sequence, a, containing no delays. Bottom: Estimates.