\appendix

\section{}

In this appendix, we present an example of a synthetically generated
distribution function to show that the variance of the line-of-sight
integrated polarization signal increaes with increasing skewness of the
intrinsic polarization.
Our synthetic distribution function is given by
\EQ
E=-w\ln r,
\EN
where $0\leq r\leq1$ is a uniformly distributed random number and
$w=\pm w_\pm$ has a random sign.

\begin{table}[h!]\caption{
correspondence x
}\vspace{12pt}\centerline{\begin{tabular}{cc}
skew  & $\sigma$ \\
\hline
${\bf  0 }$ & {\bf0.7} \\
${\bf-1.4}$ & {\bf1.1} \\
${\bf-1.9}$ & {\bf1.5} \\
${\bf-2.3}$ & {\bf2.3}
% -2.3  7.6  0.5 -1.2  2.3
% -1.9  6.0  0.5 -1.0  1.8
% -1.4  4.6  0.5 -0.7  1.3
% -0.1  2.8  0.5 -0.0  0.7
%  1.3  4.0  0.5  0.6  0.8
%  1.8  5.3  0.5  0.9  1.0
%  2.2  6.8  0.5  1.0  1.3
\label{Tmodel}\end{tabular}}\end{table}

