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

$key = q/{_inline}$hattheta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=9 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap_inline70" SRC="img1.gif"  > '; 
$key = q/{displaymath}log(y)=beta_0+beta_1x+beta_2x^2+beta_3x^3+epsilon;mbox?{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=403 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath62" SRC="img29.gif"  > '; 
$key = q/{_inline}$theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=8 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline98" SRC="img16.gif"  > '; 
$key = q/{_inline}$(beta,sigma^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=49 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline128" SRC="img27.gif"  > '; 
$key = q/{_inline}$beta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=11 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline112" SRC="img21.gif"  > '; 
$key = q/{_inline}$deltainR^k${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=53 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline80" SRC="img6.gif"  > '; 
$key = q/{_inline}$theta^*${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline82" SRC="img7.gif"  > '; 
$key = q/{_inline}$(y_i,x_i)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=50 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline102" SRC="img17.gif"  > '; 
$key = q/{_inline}$sigma^2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline116" SRC="img23.gif"  > '; 
$key = q/{_inline}$epsilon_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=11 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline92" SRC="img13.gif"  > '; 
$key = q/{_inline}$theta=(beta,gamma,mu,delta^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=122 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline134" SRC="img31.gif"  > '; 
$key = q/{_inline}$g(X_i)=f(X_i|theta^*)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=137 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline94" 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_inline76" SRC="img4.gif"  > '; 
$key = q/{_inline}$f(x|theta_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=60 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline74" SRC="img3.gif"  > '; 
$key = q/{displaymath}hattheta=argminfrac1nsum_i=1^Nfrac12(Y_i-f(X_i|theta))^2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=388 HEIGHT=49 ALIGN=BOTTOM ALT="displaymath59" SRC="img10.gif"  > '; 
$key = q/{displaymath}sqrtN[hattheta-theta_N]LongrightarrowN(0,I^-1(theta^*)){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=371 HEIGHT=23 ALIGN=BOTTOM ALT="displaymath78" SRC="img5.gif"  > '; 
$key = q/{displaymath}sigma^2(x)=exp{gamma_0+gamma_1x+gamma_2x^2}{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=370 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath63" SRC="img30.gif"  > '; 
$key = q/{_inline}$(4times1)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=53 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline114" SRC="img22.gif"  > '; 
$key = q/{displaymath}y=exp{beta_0+beta_1x+beta_2x^2+beta_3x^3}+epsilon{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=400 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath61" SRC="img18.gif"  > '; 
$key = q/{_inline}$(mu,delta^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=47 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline126" SRC="img26.gif"  > '; 
$key = q/{_inline}$delta^2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline124" SRC="img25.gif"  > '; 
$key = q/{_inline}$epsilon${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=6 HEIGHT=9 ALIGN=BOTTOM ALT="tex2html_wrap_inline104" SRC="img19.gif"  > '; 
$key = q/{displaymath}Y_i=g(X_i)+epsilon_i{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=310 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath60" SRC="img11.gif"  > '; 
$key = q/{_inline}$X_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=20 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline90" SRC="img12.gif"  > '; 
$key = q/{_inline}$theta=(beta,sigma^2,mu,delta^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=130 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline110" SRC="img20.gif"  > '; 
$key = q/{_inline}$f(x|theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=48 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline84" SRC="img8.gif"  > '; 
$key = q/{_inline}$mu${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=11 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline120" SRC="img24.gif"  > '; 
$key = q/{_inline}$gamma${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=10 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline138" 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_inline72" SRC="img2.gif"  > '; 
$key = q/{_inline}$g(X_i)neqf(X_i|theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=129 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline96" SRC="img15.gif"  > '; 
$key = q/{displaymath}E[fracpartiallnf(x|theta)partialthetafracpartiallnf(x|theta)partialtheta']=E[fracpartial^2lnf(x|theta)partialthetapartialtheta']{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=421 HEIGHT=43 ALIGN=BOTTOM ALT="displaymath58" SRC="img9.gif"  > '; 
$key = q/{_inline}$(beta,sigma)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline130" SRC="img28.gif"  > '; 

1;

