

\subsection{\bf Comparison of Two Error}
\subsection{\bf Estimates in Maximum Likelihood---I}

\begin{slide}
\begin{itemize}
\item Note that physics books (Solmitz is an exception) don't mention
method (a) of finding error in maximum likelihood method.

\item On the other hand, mathematics books never mention (b) as a
serious method.

\item They do, however, prove (a) and (b) are the same for large $n$
(as we indicated in {\em example\/} above) for general distribution.

\item As far as I can see, method (a) is only correct definition of error.

\begin{description}
\item{$\bullet$} It follows that method (b) is wrong when it differs
from method (a).
\item{$\bullet$} (b) does differ from (a) for small $n$ when, in
particular, likelihood isn't Gaussian.
\item{$\bullet$} So again warnings for small $n$ (``plot likelihood'')
are very dubious.
\end{description}
\end{itemize}
\end{slide}

