

\subsection{\bf Gaussian Limit of Counter Physics}

\begin{slide}
\begin{itemize}
\item Of course, if each $n_i$ is large
\[
p_i \propto \exp \left\lbrack \frac{- \lbrace n_i - \lambda_i t
\rbrace^2}{\lambda_i t} \right\rbrack
\]
and we get back $\chi^2$ method.  

\item Note: $\sigma_i$ is derived as theoretical value of error!
(replace $\lambda_i t$ in denominator by $n_i$ to get experimental
value).

\item So we only get something different by using the full maximum
likelihood method, if some $n_i$ are small and Poisson distribution is
not in regime where the distribution is essentially Gaussian.
\end{itemize}
\end{slide}

