

\subsection{\bf Theorem on Asymptotic Validity}
\subsection{\bf of Maximum Likelihood Method}
\subsection{\bf Conditions---Second and Third}
\subsection{\bf Assertions}
\begin{slide}
\begin{itemize} 
\item (b) We can regard $\alpha^*$ as a random variable: then its
standard deviation is $O\left( \frac{1}{\sqrt{n}} \right)$ and to this
order we can correctly calculate standard deviation in the ``physics
way'' already discussed (i.e., from $\alpha$ dependence of
$L(\alpha)$).

\item (c) There is {\em no\/} other estimate of $\alpha_0$ which has a
smaller standard deviation asymptotically in $n$, i.e., the maximum
likelihood method is the best as long as $n$ is large.
\end{itemize}
\end{slide}

