% These are my slides for my ASA talk about my research.

\documentclass{slides}

%\documentclass{seminar}
%\documentclass[article]{seminar}
%\special{landscape}
%\twoup[1]
\pagestyle{empty}
%\onlyslides{28,29}

\input epsf.tex

\usepackage{amsbsy}

\newcommand{\bp}{\mbox{\boldmath $\phi$}}
\newcommand{\bT}{\mbox{\boldmath $\Theta$}}

\begin{document}

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% Ch. 1

\begin{slide}
\begin{figure}[!htb]
  %\epsfxsize{}
  \epsfxsize=5.5in
  \centerline{\epsfbox{FigTIn.eps}}
  \caption{Hypothetical pulse sequence of a nuclear explosion or earthquake.}
  \label{fig:TheIdean}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  % lg 3301-3812
  \epsfxsize=5.5in
  \centerline{\epsfbox{Figa054.ps}}
  \caption{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.}
  \label{fig:a054}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  %\epsfxsize{}
  \epsfxsize=5.5in
  \centerline{\epsfbox{FigTIa.eps}}
  \caption{Hypothetical pulse sequence of a ripple-fired seismic event.}
  \label{fig:TheIdeaa}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  %\epsfxsize{}
  \epsfxsize=5.5in
  \centerline{\epsfbox{FigTI.ps}}
  \caption{A convolution example.}
  \label{fig:TheIdea}
\end{figure}
\end{slide}

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% Ch. 2

\begin{slide}
\begin{figure}[!htb]
  %\epsfxsize=
  \epsfysize=3.5in
  \centerline{\epsfbox{FP.eps}}
  \caption{$\eta \sim$ Beta(43,5.67) and $\tau \sim$ Gamma(5,4).}
  \label{fig:Priors}
\end{figure}
\end{slide}

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% Ch. 3

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{filter.eps}}
  \caption{32-point filter.}
  \label{fig:filter}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{signal.ps}}
  \caption{Unfiltered simulated underlying signals.}
  \label{fig:signal}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{signalS.ps}}
  \caption{Spectra of the unfiltered simulated underlying signals.}
  \label{fig:sSpec}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{trace.ps}}
  \caption{Simulated ripple-fired data traces, using unfiltered signals.
  Note that low frequencies are contained in these series.}
  \label{fig:trace}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{traceS.ps}}
  \caption{Spectra of the simulated ripple-fired traces.
  Note modulation in the spectra.}
  \label{fig:tSpec}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{Sims.ps}}
  \caption{Filtered simulated underlying signals.}
  \label{fig:zsig}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{zsignalS.ps}}
  \caption{Spectra of the filtered simulated underlying signals.}
  \label{fig:zsigSpec}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{Simy.ps}}
  \caption{Simulated ripple-fired data traces, using the filtered signals.
  Note these series do not contain obvious low frequencies.}
  \label{fig:ztrac}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{ztraceS.ps}}
  \caption{Spectra of the simulated ripple-fired data traces.
  Note the modulation in the spectra.}
  \label{fig:ztracSpec}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{Simy.ps}}
  \caption{Simulated array data ${\by}_k$, $k=1,...,q$.}
  \label{fig:Sy}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{Sims.ps}}
  \caption{Simulated {\it underlying signal-path effects} ${\bs}_k$, \mbox{$k=1,...,q$}.}
  \label{fig:Ss}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{Sima.ps}}
  \caption{Top: True {\it pulse sequence}, ${\ba}$.  Bottom: Estimates.}
  \label{fig:Sa}
\end{figure}
\end{slide}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{SimsEst.ps}}
  %\caption{Estimates of the Simulated Underlying Signals}
  %\label{fig:sEst}
%\end{figure}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{Sims.ps}}
  %\caption{Simulated Underlying Signals}
  %\label{fig:Ss}
%\end{figure}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{ssEst1.ps}}
  %\caption{Simulated Underlying Signals - Estimated Underlying Signals}
  %\label{fig:ssE1}
%\end{figure}

\begin{slide}
\begin{figure}[!htb]
  %\epsfxsize=5.5in
  \epsfysize=8in
  \centerline{\epsfbox{ssEst2.ps}}
  \caption{Solid: Simulated {\it underlying signals-path effects sequence} ${\bs}_k$, $k=1,..,q$.
  Dots: Estimates $\hat{\bs}_k$ shifted one point to the left.}
  \label{fig:ssE2}
\end{figure}
\end{slide}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{yyhat1.ps}}
  %\caption{Trace and Estimated Trace on each channel}
  %\label{fig:Syyhat1}
%\end{figure}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{yyhat2.ps}}
  \caption{Solid: Simulated trace ${\by}_k$, $k=1,...,q$.
  Dots: Estimates, $\hat{\by}_k$, shifted one point to the left.}
  \label{fig:Syyhat2}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
 % \epsfxsize=5.5in
  \epsfysize=8in
  \centerline{\epsfbox{Simep1.ps}}
  \caption{Estimated additive noise on each channel, ${\bvep}_k(t)$, $t=(m-m),...,(n-m)$.}
  \label{fig:Simep1}
\end{figure}
\end{slide}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{Simep2.ps}}
  %\caption{Pn054 - ACF, PACF of Error on each channel}
  %\label{fig:P054epAC}
%\end{figure}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{Simep3.ps}}
  %\caption{Pn054 - ACF, PACF of Residual from fitted Error on each channel}
  %\label{fig:P054efAC}
%\end{figure}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{Simphi.ps}}
  %\caption{Pn054 - Estimated Phi}
  %\label{fig:P054phiE}
%\end{figure}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimMCa1.ps}}
  \caption{Last 5,000 iterations in the Markov chains produced for $a_7$, $a_{14}$, $a_{21}$, and $a_{28}$.}
  \label{fig:SimMCa1}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimMCa2.ps}}
  \caption{MC's for a}
  \label{fig:SimMCa2}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimCona.ps}}
  \caption{Histograms of every 1,000 iterations, after ``burn in," for the nonzero values of ${\ba}$.
  The columns show the stability of the Markov chains for $a_7$, $a_{14}$, $a_{21}$, and $a_{28}$. }
  \label{fig:SimCona}
\end{figure}
\edn{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimPosta.ps}}
  \caption{Posteriors of $a_j$, $j=1,...,m$.}
  \label{fig:SPosta}
\end{figure}
\end{slide}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in4
  %\centerline{\epsfbox{SimMCe.eps}}
  %\caption{Last 5000 iterations in the Markov chain produced for $\eta$.}
  %\label{fig:SimMCe}
%\end{figure}

%\begin{figure}[!htb]
%  \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{SimCone.ps}}
  %\caption{{Histograms of every 1000 iterations after burn in for the Markov chain for $\eta$.}
  %\label{fig:SimCone}
%\end{figure}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{SPoste.eps}}
  %\caption{Posterior of $\eta$}
  %\label{fig:SPoste}
%\end{figure}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimMCp.eps}}
  \caption{Last 5,000 iterations in the Markov chain produced for $\phi_1$, $\phi_2$, and $\phi_3$.}
  \label{fig:SimMCp}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimConp.ps}}
  \caption{Histograms of every 1,000 iterations, after ``burn in," for $\bp$.
  The columns show the stability of the Markov chains for $\phi_1$, $\phi_2$, and $\phi_3$. }
  %in for the Markov chain for $\phi$.}
  \label{fig:SimConp}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SPostp.eps}}
  \caption{Posterior of $\phi_1$, $\phi_2$, and $\phi_3$.}
  \label{fig:SPostp}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimMCet.eps}}
  \caption{Last 5,000 iterations of the Markov chains for $\eta$ and $\tau$.}
  \label{fig:SimMCet}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimConet.ps}}
  \caption{Histograms of every 1,000 iterations, after ``burn in," for $\eta$ and $\tau$.}
  \label{fig:SimConet}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{SimPet.eps}}
  \caption{Posteriors of $\eta$ and $\tau$.}
  \label{fig:SPostet}
\end{figure}
\end{slide}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{SimMCtau.ps}}
  %\caption{MC's for tau}
  %\label{fig:SimMCt}
%\end{figure}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{SimCont.ps}}
    %\caption{Last 5000 iterations in the Markov chain produced for $\tau$.}
  %\label{fig:SimCont}
%\end{figure}

%\begin{figure}[!htb]
 % \epsfxsize=5.5in
  %\epsfysize=8in
  %\centerline{\epsfbox{SPostt.eps}}
  %\caption{Posterior of tau}
  %\label{fig:SPostt}
%\end{figure}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{Simyno.ps}}
  \caption{Simulated data with no delayed signals.}
  \label{fig:Simyno}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{Simsno.ps}}
  \caption{Simulated underlying signal.}
  \label{fig:Simsno}
\end{figure}
\end{slide}

\begin{slide}
\begin{figure}[!htb]
  \epsfxsize=5.5in
  %\epsfysize=8in
  \centerline{\epsfbox{Simano.ps}}
  \caption{Top: ``True" {\it pulse sequence}, ${\ba}$, containing no delays.  Bottom: Estimates.}
  \label{fig:Simano}
\end{figure}
\end{slide}


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\end{document}
