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\newlabel{fig:TheIdean}{{1}{1}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces 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.}}{3}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Hypothetical pulse sequence of a ripple-fired seismic event.}}{5}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces A convolution example.}}{7}}
\newlabel{fig:TheIdea}{{4}{7}}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces $\eta \sim $ Beta(43,5.67) and $\tau \sim $ Gamma(5,4).}}{9}}
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\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces 32-point filter.}}{11}}
\newlabel{fig:filter}{{6}{11}}
\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Unfiltered simulated underlying signals.}}{13}}
\newlabel{fig:signal}{{7}{13}}
\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Spectra of the unfiltered simulated underlying signals.}}{15}}
\newlabel{fig:sSpec}{{8}{15}}
\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Simulated ripple-fired data traces, using unfiltered signals. Note that low frequencies are contained in these series.}}{17}}
\newlabel{fig:trace}{{9}{17}}
\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces Spectra of the simulated ripple-fired traces. Note modulation in the spectra.}}{19}}
\newlabel{fig:tSpec}{{10}{19}}
\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces Filtered simulated underlying signals.}}{21}}
\newlabel{fig:zsig}{{11}{21}}
\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces Spectra of the filtered simulated underlying signals.}}{23}}
\newlabel{fig:zsigSpec}{{12}{23}}
\@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces Simulated ripple-fired data traces, using the filtered signals. Note these series do not contain obvious low frequencies.}}{25}}
\newlabel{fig:ztrac}{{13}{25}}
\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces Spectra of the simulated ripple-fired data traces. Note the modulation in the spectra.}}{27}}
\newlabel{fig:ztracSpec}{{14}{27}}
\@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces Simulated array data ${\ensuremath  {\bf  y}}_k$, $k=1,...,q$.}}{29}}
\newlabel{fig:Sy}{{15}{29}}
\@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces Simulated {\it  underlying signal-path effects} ${\ensuremath  {\bf  s}}_k$, \unhbox \voidb@x \hbox {$k=1,...,q$}.}}{31}}
\newlabel{fig:Ss}{{16}{31}}
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\@writefile{lof}{\contentsline {figure}{\numberline {20}{\ignorespaces Estimated additive noise on each channel, ${\unhbox \voidb@x \hbox {\relax \mathversion  {bold}$\varepsilon $}}_k(t)$, $t=(m-m),...,(n-m)$.}}{39}}
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\@writefile{lof}{\contentsline {figure}{\numberline {22}{\ignorespaces Histograms of every 1,000 iterations, after ``burn in," for the nonzero values of ${\ensuremath  {\bf  a}}$. The columns show the stability of the Markov chains for $a_7$, $a_{14}$, $a_{21}$, and $a_{28}$. }}{43}}
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\newlabel{fig:SPosta}{{23}{45}}
\@writefile{lof}{\contentsline {figure}{\numberline {24}{\ignorespaces Last 5,000 iterations in the Markov chain produced for $\phi _1$, $\phi _2$, and $\phi _3$.}}{47}}
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\@writefile{lof}{\contentsline {figure}{\numberline {25}{\ignorespaces Histograms of every 1,000 iterations, after ``burn in," for $\unhbox \voidb@x \hbox {\relax \mathversion  {bold}$\phi $}$. The columns show the stability of the Markov chains for $\phi _1$, $\phi _2$, and $\phi _3$. }}{49}}
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\@writefile{lof}{\contentsline {figure}{\numberline {26}{\ignorespaces Posterior of $\phi _1$, $\phi _2$, and $\phi _3$.}}{51}}
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\@writefile{lof}{\contentsline {figure}{\numberline {27}{\ignorespaces Last 5,000 iterations of the Markov chains for $\eta $ and $\tau $.}}{52}}
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\newlabel{fig:SimConet}{{28}{54}}
\@writefile{lof}{\contentsline {figure}{\numberline {29}{\ignorespaces Posteriors of $\eta $ and $\tau $.}}{56}}
\newlabel{fig:SPostet}{{29}{56}}
\@writefile{lof}{\contentsline {figure}{\numberline {30}{\ignorespaces Simulated data with no delayed signals.}}{58}}
\newlabel{fig:Simyno}{{30}{58}}
\@writefile{lof}{\contentsline {figure}{\numberline {31}{\ignorespaces Simulated underlying signal.}}{60}}
\newlabel{fig:Simsno}{{31}{60}}
\@writefile{lof}{\contentsline {figure}{\numberline {32}{\ignorespaces Top: ``True" {\it  pulse sequence}, ${\ensuremath  {\bf  a}}$, containing no delays. Bottom: Estimates.}}{62}}
\newlabel{fig:Simano}{{32}{62}}