# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.
$key = q/{displaymath}hatbeta_IV=(Z'X)^-1Z'y{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}${p_1,ldots,p_K}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Sigma${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$(K-1)times(K-1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$theta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}left[Sigmaright]^-1=left[arraycccc1overp_1;SPMamp;0;SPMamp;cdots;SPMamp;00;SPMamp;1overp_2;SPMamp;cdots;SPMamp;0cdots;SPMamp;cdots;SPMamp;cdots;SPMamp;cdotscdots;SPMamp;cdots;SPMamp;1overp_K-2;SPMamp;00;SPMamp;cdots;SPMamp;cdots;SPMamp;1overp_K-1arrayright]+1over(1-p_1-p_2-cdots-p_K-1)left[arraycccc1;SPMamp;1;SPMamp;cdots;SPMamp;11;SPMamp;1;SPMamp;cdots;SPMamp;11;SPMamp;cdots;SPMamp;cdots;SPMamp;11;SPMamp;cdots;SPMamp;cdots;SPMamp;11;SPMamp;1;SPMamp;cdots;SPMamp;1arrayright].{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$JtimesK${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$varepsilonsimNleft(0,Omegaright)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$ntimesJ${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$ntimesK${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Ntimesk${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$theta_kge0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}y=Xbeta^*+varepsilon{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$thetainDelta^K-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$ktimes1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}Sigma=left[arrayccccp_1(1-p_1);SPMamp;-p_1p_2;SPMamp;cdots;SPMamp;-p_1p_K-1-p_1p_2;SPMamp;p_2(1-p_2);SPMamp;cdots;SPMamp;-p_2p_K-1cdots;SPMamp;cdots;SPMamp;cdots;SPMamp;cdotscdots;SPMamp;cdots;SPMamp;cdots;SPMamp;cdots-p_1p_K-1;SPMamp;p_2p_K-1;SPMamp;cdots;SPMamp;p_K-1(1-p_K-1)arrayright],{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Ntimes1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$varepsilon${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}f(x_i|theta)=prod_k=1^Ktheta_k^I{x_i=k},eqno(4){displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$beta_GLS=(X'Omega^-1X)^-1X'Omega^-1y${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$beta^*${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$sum_k=1^Ktheta_k=1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$I^-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$left(X^primeOmega^-1Xright)^-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}${tildeX_1,ldots,tildeX_N}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$thetainR^K${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}sum_k=1^Kp_k=1.{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Omega${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}hatbeta_IV=(F'Z'X)^-1F'Z'y{displaymath}/;
$cached_env_img{$key} = ' 
';
1;