# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{_inline}$x_i=1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=49 HEIGHT=26 ALIGN=MIDDLE ALT="tex2html_wrap_inline146" SRC="img12.gif"  > '; 
$key = q/{_inline}$f(x|theta_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=60 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline176" SRC="img28.gif"  > '; 
$key = q/{_inline}$widehatbeta_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=23 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline138" SRC="img8.gif"  > '; 
$key = q/{displaymath}widehatbeta_N=argmin_betainThetafrac1Nsum_i=1^Nvarphi(y_i,x_i,beta){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=373 HEIGHT=49 ALIGN=BOTTOM ALT="displaymath109" SRC="img9.gif"  > '; 
$key = q/{_inline}$varphi(y_i,x_i,beta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=82 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline140" SRC="img10.gif"  > '; 
$key = q/{displaymath}sqrtNleft(widehattheta_N-theta^*right)stackreldrightarrowNleft[(G^primeWG)^-1G^primeWOmegaWG(G^primeWG)^-1right]{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=469 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath114" SRC="img25.gif"  > '; 
$key = q/{_inline}$g(x,theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=50 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline160" SRC="img21.gif"  > '; 
$key = q/{_inline}$hattheta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=8 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap_inline172" SRC="img27.gif"  > '; 
$key = q/{displaymath}y_i=beta^*x_i+varepsilon_i{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=305 HEIGHT=18 ALIGN=BOTTOM ALT="displaymath108" SRC="img3.gif"  > '; 
$key = q/{_inline}$E[varepsilon_i]=0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=73 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline136" SRC="img7.gif"  > '; 
$key = q/{_inline}$theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=8 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline158" SRC="img20.gif"  > '; 
$key = q/{displaymath}sqrtN[hattheta-theta_N]LongrightarrowN(0,I^-1(theta^*)){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=372 HEIGHT=23 ALIGN=BOTTOM ALT="displaymath180" SRC="img30.gif"  > '; 
$key = q/{_inline}$varepsilon_isimNleft(0,sigma^2right)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=109 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline150" SRC="img13.gif"  > '; 
$key = q/{_inline}$deltainR^k${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=53 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline182" SRC="img31.gif"  > '; 
$key = q/{_inline}$ktimes1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=41 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline156" SRC="img19.gif"  > '; 
$key = q/{_inline}$theta^*${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline154" SRC="img18.gif"  > '; 
$key = q/{_inline}$mtimes1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=47 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline162" SRC="img22.gif"  > '; 
$key = q/{displaymath}E[g(x,theta^*)]=0{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=309 HEIGHT=20 ALIGN=BOTTOM ALT="displaymath113" SRC="img17.gif"  > '; 
$key = q/{_inline}$f(x|theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=47 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline186" SRC="img32.gif"  > '; 
$key = q/{_inline}${x_1,ldots,x_N}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=100 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline170" SRC="img24.gif"  > '; 
$key = q/{_inline}$i=1,ldots,N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=98 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline130" SRC="img4.gif"  > '; 
$key = q/{displaymath}widehattheta_N=argmin_thetainThetawidehatg_N(theta)^primeW_Nwidehatg_N(theta){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=367 HEIGHT=31 ALIGN=BOTTOM ALT="displaymath111" SRC="img15.gif"  > '; 
$key = q/{_inline}$W_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=29 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline168" SRC="img23.gif"  > '; 
$key = q/{_inline}$1times1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=39 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline134" SRC="img6.gif"  > '; 
$key = q/{_inline}$beta^*${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=18 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline132" SRC="img5.gif"  > '; 
$key = q/{displaymath}varphi(y_i,x_i,beta)=(y_i-betax_i)^4.{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=350 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath110" SRC="img11.gif"  > '; 
$key = q/{_inline}$X_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=28 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline122" SRC="img1.gif"  > '; 
$key = q/{displaymath}widehatg_N(theta)=frac1Nsum_i=1^Ng(x_i,theta){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=338 HEIGHT=49 ALIGN=BOTTOM ALT="displaymath112" SRC="img16.gif"  > '; 
$key = q/{_inline}$widehattheta_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=21 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline152" SRC="img14.gif"  > '; 
$key = q/{_inline}$theta_N=theta^*+deltasqrtN${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=139 HEIGHT=35 ALIGN=MIDDLE ALT="tex2html_wrap_inline178" SRC="img29.gif"  > '; 

1;

