# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.
$key = q/{displaymath}f(x_1,x_2)=left(2piright)^-n2left|Sigmaright|^-1expleft[-fracleft(X-muright)^primeSigma^-1left(X-muright)2right].{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f_2(x_2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$A^*=I,;;${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$varepsilonequivwidetildey-widetildeXbeta^*.${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}A_21=Sigma_21Sigma_11.2^-1-Sigma_22Sigma_22^-1Sigma_12Sigma_11.2^-1=Sigma_21Sigma_11.2^-1-Sigma_21Sigma_11.2^-1=O_21.{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$A_11=I_1,;A_22=I_2,;A_12=O_12,;A_21=O_21.${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Sigma=left[arrayllSigma_11;SPMamp;Sigma_12Sigma_21;SPMamp;Sigma_22arrayright]${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Eleft(varepsilonright)=0,${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$;B=;Sigma_12Sigma_22^-1.;;${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}mathbfx_1mathbf|x_2;simNleft(x_1-left(mu_1+Bleft(x_2-mu_2right)right),;Sigma_11.2right)mbox:theconditionaldistributionofx_1mbox,forgivenx_2.{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f_1.2(x_1|x_2)equiv${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}widetildey|widetildeX=X;sim;Nleft(mu_X,;Sigma_Xright)..{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$(widetildey,widetildeX^prime)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$beta^*=left{Eleft(widetildeX^primewidetildeXright)^-1right}Eleft(widetildeX^primewidetildeyright)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$left(x_1,x_2right).;${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$g(x_2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Eleft(widetildeX^primewidetildeyright)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Eleft(widetildeX^primeright)=0,;${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$mu_1+Bleft(x_2-mu_2right)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$h(x_1;x_2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$,;${_inline}/;
$cached_env_img{$key} = '';
$key = q/{_inline}$x_1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$widetildey=widetildeXbeta;+varepsilon${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$fracf(x_1,x_2)f_2(x_2)=fracg(x_2)h(x_1;x_2)g(x_2)=h(x_1;x_2),${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$left|Sigma_11-Sigma_12Sigma_22^-1Sigma_21right|=left|Sigma_11.2right|.;${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f(x_1,x_2)equivg(x_2)h(x_1;x_2),${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Sigma${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$;x_2.${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$mu_2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$widetildey${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_2,${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Sigma_11.2,;${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}mathbfx_2sim;Nleft(mu_2,;Sigma_22right)mbox:themarginaldistribution.{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Sigma_22,${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Eleft(widetildeX^primewidetildeXright)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$A^*=left[arrayllA_11;SPMamp;A_12A_21;SPMamp;A_22arrayright]=left[arrayllSigma_11;SPMamp;Sigma_12Sigma_21;SPMamp;Sigma_22arrayright]left[arrayllSigma_11.2^-1;SPMamp;-Sigma_11.2^-1B-B^primeSigma_11.2^-1;SPMamp;Sigma_22^-1+B^primeSigma_11.2^-1Barrayright],;;;${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$;mu=left[arraylmu_1mu_2arrayright];${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$widetildeX=X${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$;A=left(x_2-mu_2right)^primeSigma_22^-1left(x_2-mu_2right)${_inline}/;
$cached_env_img{$key} = ' 
';
1;