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\begin{document} 

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\begin{frame}
\date{16 July 2026}
\titlepage
\end{frame}
\section{Test}
\begin{frame}
\textbf{Preliminaries}
 \setbeamercolor{block body}{fg=black,bg=blue!4!white}
\begin{block}{Definition} 
A random vector $\bold{X}$ is said to be increasing (decreasing) vector dynamic CRE, if $\xi_{i}(t_{1},t_{2})$ is an increasing (decreasing) function of $t_{i}, i = 1, 2$.
\end{block}
\end{frame}

\begin{frame}
\textbf{Results}
\begin{block}{Theorem}
Let X be a non-negative absolutely continuous random variable with survival function $\bar{F}(t)$, MRL $m_{F}(t)$, HR $r_{F}(t)$, and DCRE $\xi(X;t)$. \\
Then
\[ \xi(X;t) = cm_{F} (t),\quad c > 0,\] 
if and only if X distributed as 
\pause
\begin{itemize}
\item
Exponential where $c = 1$,
\item
Power where $0<c<1$,
\item
Pareto where $c>1$.
\end{itemize}
\end{block}
\end{frame}
\begin{frame}
\textbf{Applications and Examples}
\begin{block}{Figure}
\begin{figure}
\includegraphics[width=0.5\linewidth]{pic2}
\end{figure}
\end{block}
\end{frame}
\begin{frame}
\begin{block}{Example}
Let....
\end{block}
\end{frame}
\begin{frame}
\textbf{The future of research:}
\end{frame}

\begin{frame}
\textbf{References:}
\end{frame}

\end{document}






