
%\documentclass{beamer}
\usetheme{Frankfurt}


\usecolortheme{orchid}
% \usecolortheme{Crane}


\usepackage{amsbsy}
\usepackage{hyperref} % hyperlink
%\usepackage{apacite}
\usepackage{multimedia}
\usepackage{beamerthemesplit}
\usepackage{tikz}
\usepackage{pgfpages}
%\usepackage[utf8x]{inputenc}
\usepackage{amsmath,amssymb}
\usepackage{colortbl}
\usepackage[english]{babel}
\usepackage{tabularx}
\usepackage{pgf,pgfarrows,pgfnodes,pgfautomata,pgfheaps,pgfshade}
\usepackage{textpos}
% \usetikzlibrary{mindmap}
% \setbeamercolor{alerted text}{fg=red!90!black}
%\setbeamercolor{section in head/foot}{fg=black, bg=white}  %without this line, the title header will be in black box
%\setbeamercolor{frametitle}{fg=blue, bg=white}  %without this line, the title for each page will be in blue box
\usepackage{multicol}
%\usepackage{chngcntr}
\usepackage{lscape}
\usepackage{amsfonts}
% \usepackage[dvips,final]{graphicx}
\usepackage{graphicx}
\usepackage{color}
\usepackage{textcomp}
% \usepackage{subfig}
%\usepackage{wasysym}
\usepackage{float}
\usepackage{epstopdf}
\usepackage{pdfpages}
% \pgfpagesuselayout{2 on 1}[letterpaper,border shrink=5mm]

%\usepackage{sansmathaccent}
\pdfmapfile{+sansmathaccent.map}

% \usepackage[usenames,dvipsnames]{color}
% \definecolor{orange}{RGB}{255,127,0}

% number of pages on footnote
% \newcommand*\oldmacro{}
%     \let\oldmacro\insertshortauthor% save previous definition
%     \renewcommand*\insertshortauthor{%
%       \leftskip=.3cm% before the author could be a plus1fill ...
%       \insertframenumber\,/\,\inserttotalframenumber\hfill\oldmacro}

% \newcommand*\oldmacro{}
%     \let\oldmacro\insertshortauthor% save previous definition
%     \renewcommand*\insertshortauthor{\hfill\insertframenumber\,/\,\inserttotalframenumber}

% \setbeamertemplate{footline}{\hfill\insertframenumber\,/\,
% \inserttotalframenumber\hspace*{0.2cm}}

% \setbeamertemplate{navigation symbols}{}
%remove navigation symbols
% \setbeamertemplate{section in head/foot shaded}[default][20]
% \setbeamertemplate{subsection in head/foot shaded}[default][20]

% \logo{\includegraphics[height=0.85cm]{./plots/unmlogo.pdf}}
%change here. I used an eps file logo, you can use jpg or other format
\newcommand{\E}{\mbox{E}\,}
\newcommand{\Cov}{\mbox{Cov}\,}
\newcommand{\Var}{\mbox{Var}\,}
\newcommand{\MSE}{\mbox{MSE}\,}
\newcommand{\tr}{\mbox{tr}\,}
\newcommand{\diag}{\mbox{diag}\,}
\newcommand{\bb}{{\mathbf b}}
\newcommand{\bc}{{\mathbf c}}
\newcommand{\bd}{{\mathbf d}}
\newcommand{\be}{{\mathbf e}}
\newcommand{\bff}{{\mathbf f}}
\newcommand{\bh}{{\mathbf h}}
\newcommand{\bm}{{\mathbf m}}
\newcommand{\bn}{{\mathbf n}}
\newcommand{\bt}{{\mathbf t}}
\newcommand{\bu}{{\mathbf u}}
\newcommand{\bv}{{\mathbf v}}
\newcommand{\bx}{{\mathbf x}}
\newcommand{\bw}{{\mathbf w}}
\newcommand{\bg}{{\mathbf g}}
\newcommand{\bp}{{\mathbf p}}
\newcommand{\by}{{\mathbf y}}
\newcommand{\bz}{{\mathbf z}}
\newcommand{\bA}{{\mathbf A}}
\newcommand{\bB}{{\mathbf B}}
\newcommand{\bC}{{\mathbf C}}
\newcommand{\bD}{{\mathbf D}}
\newcommand{\bE}{{\mathbf E}}
\newcommand{\bF}{{\mathbf F}}
\newcommand{\bG}{{\mathbf G}}
\newcommand{\bH}{{\mathbf H}}
\newcommand{\bI}{{\mathbf I}}
\newcommand{\bJ}{{\mathbf J}}
\newcommand{\bK}{{\mathbf K}}
\newcommand{\bL}{{\mathbf L}}
\newcommand{\bM}{{\mathbf M}}
\newcommand{\bN}{{\mathbf N}}
\newcommand{\bP}{{\mathbf P}}
\newcommand{\bQ}{{\mathbf Q}}
\newcommand{\bR}{{\mathbf R}}
\newcommand{\bS}{{\mathbf S}}
\newcommand{\bT}{{\mathbf T}}
\newcommand{\bU}{{\mathbf U}}
\newcommand{\bV}{{\mathbf V}}
\newcommand{\bW}{{\mathbf W}}
\newcommand{\bX}{{\mathbf X}}
\newcommand{\bY}{{\mathbf Y}}
\newcommand{\bZ}{{\mathbf Z}}
\newcommand{\bone}{{\mathbf 1}}
\newcommand{\bzero}{{\mathbf 0}}
\newcommand{\bal}{{\boldsymbol \alpha}}
\newcommand{\beps}{{\boldsymbol \epsilon}}
\newcommand{\vj}{v_{\tiny\mbox{JACK}}}
\newcommand{\vaj}{v_{\tiny\mbox{JACK}}^{\tiny\mbox{adj}}}
\newcommand{\stat}{\overline{\mbox{QOL4-QOL0}}}

\newcommand{\bbe}{{\boldsymbol \beta}}
\newcommand{\bbeta}{{\boldsymbol \beta}}
\newcommand{\bga}{{\boldsymbol \gamma}}
\newcommand{\bsig}{{\boldsymbol \sigma}}
\newcommand{\bde}{{\boldsymbol \delta}}
\newcommand{\bphi}{{\boldsymbol \phi}}
\newcommand{\bpsi}{{\boldsymbol \psi}}
\newcommand{\btau}{{\boldsymbol \tau}}
\newcommand{\bDe}{{\boldsymbol \Delta}}
\newcommand{\boldeta}{{\boldsymbol \eta}}
\newcommand{\bpi}{{\boldsymbol p}}
\newcommand{\boldnabla}{{\boldsymbol \nabla}}
\newcommand{\blam}{{\boldsymbol \lambda}}
\newcommand{\bmu}{{\boldsymbol \mu}}
\newcommand{\bth}{{\boldsymbol \theta}}
\newcommand{\bthhat}{{\bf \hat {\boldsymbol \theta}}}
\newcommand{\bGam}{{\mathbf \Gamma}}
\newcommand{\bLam}{{\mathbf \Lambda}}
\newcommand{\bSig}{{\mathbf \Sigma}}
\newcommand{\bOm}{{\mathbf \Omega}}
\newcommand{\bPsi}{{\mathbf \Psi}}
\newcommand{\bUp}{{\mathbf \Upsilon}}
\newcommand{\al}{\alpha}
\newcommand{\de}{\delta}
\newcommand{\ga}{\gamma}
\newcommand{\la}{\lambda}
\newcommand{\eps}{\epsilon}
\renewcommand{\th}{\theta}
\newcommand{\om}{\omega}
\newcommand\cF{\mathcal{F}}
\newcommand\cL{\mathcal{L}}
\newcommand\cS{\mathcal{S}}
\newcommand\cU{\mathcal{U}}
\newcommand\ep{{\varepsilon}}
\newcommand\s{{\sigma}}
\newcommand\const{\mbox{constant }}
\newcommand\diage{\left[
\begin{array}{cc}
  \s_1^2 & 0 \\
  0 & \s_2^2 \\
\end{array}
\right]}
\newcommand\diagg{\left[
\begin{array}{cc}
  \ga_1^2 & 0 \\
  0 & \ga_2^2 \\
\end{array}
\right]}


\newcommand{\yhat}{\hat{Y}}
\newcommand\uth{{\textrm{th}}}
\newcommand{\ds}{\displaystyle}
\newcommand{\bi}{\begin{itemize}}
\newcommand{\ei}{\end{itemize}}
\newcommand{\beq}{\begin{eqnarray*}}
\newcommand{\eeq}{\end{eqnarray*}}
\newcommand{\bverba}{\begin{verbatim}}
\newcommand{\everba}{\end{verbatim}}
