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

$key = q/{_inline}$F_N^-1(.5)=mboxmed(tildeX_1,ldots,tildeX_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=226 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline214" SRC="img29.gif"  > '; 
$key = q/{displaymath}hatmu_theta=F_N^-1(theta),{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=302 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath101" SRC="img25.gif"  > '; 
$key = q/{_inline}$F_N^-1(0)=min(tildeX_1,ldots,tildeX_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=218 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline218" SRC="img31.gif"  > '; 
$key = q/{_inline}$F_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=23 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline210" SRC="img26.gif"  > '; 
$key = q/{_inline}$F_N^-1(1)=max(tildeX_1,ldots,tildeX_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=221 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline222" SRC="img33.gif"  > '; 
$key = q/{_inline}$theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=8 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline228" SRC="img35.gif"  > '; 
$key = q/{_inline}$mu_.25${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=28 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline138" SRC="img6.gif"  > '; 
$key = q/{_inline}$25^mboxrmth${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=35 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap_inline140" SRC="img7.gif"  > '; 
$key = q/{_inline}$mu_theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline160" SRC="img13.gif"  > '; 
$key = q/{displaymath}sqrtNleft(F_N(x)-F(x)right)LongrightarrowN(0,gamma^2),{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=387 HEIGHT=23 ALIGN=BOTTOM ALT="displaymath106" SRC="img45.gif"  > '; 
$key = q/{displaymath}sqrtNleft(theta-F(F^-1_N(theta))right)LongrightarrowN(0,theta(1-theta)).{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=416 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath111" SRC="img52.gif"  > '; 
$key = q/{_inline}$hatmu_0=F_N^-1(0)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=98 HEIGHT=34 ALIGN=MIDDLE ALT="tex2html_wrap_inline216" SRC="img30.gif"  > '; 
$key = q/{displaymath}sqrtNleft(F_N(F_N^-1(theta))-F(F_N^-1(theta))right)gesqrtNleft(theta-F(F^-1_N(theta))right).{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=482 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath109" SRC="img50.gif"  > '; 
$key = q/{displaymath}sqrtNleft(hatmu_theta-mu_thetaright)=sqrtNleft(F^-1_N(theta)-F^-1(theta)right)LongrightarrowN(0,sigma^2),{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=470 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath104" SRC="img43.gif"  > '; 
$key = q/{_inline}$theta=0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=43 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap_inline246" SRC="img40.gif"  > '; 
$key = q/{displaymath}mu_thetaequivF^-1(theta)=inf{x,|,F(x)getheta}.{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=384 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath100" SRC="img4.gif"  > '; 
$key = q/{_inline}$theta=1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline248" SRC="img41.gif"  > '; 
$key = q/{_inline}$theta^mboxrmth${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=26 HEIGHT=20 ALIGN=BOTTOM ALT="tex2html_wrap_inline130" SRC="img2.gif"  > '; 
$key = q/{_inline}$F^-1(F(x))lex,quad-infty;SPMlt;x;SPMlt;infty${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=262 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline184" SRC="img17.gif"  > '; 
$key = q/{displaymath}F(F_N^-1(theta))=F(F^-1(theta))+f(tildemu_theta)left[F_N^-1(theta)-F^-1(theta)right],{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=462 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath112" SRC="img54.gif"  > '; 
$key = q/{_inline}$thetain(0,1)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=72 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline128" SRC="img1.gif"  > '; 
$key = q/{_inline}$xgeF^-1(theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=90 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline198" SRC="img22.gif"  > '; 
$key = q/{_inline}$hatmu_thetatomu_theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=66 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline286" SRC="img58.gif"  > '; 
$key = q/{_inline}$mu_0=lim_thetato0mu_theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=118 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline144" SRC="img9.gif"  > '; 
$key = q/{displaymath}sqrtNleft(F_N(F_N^-1(theta))-F(F_N^-1(theta))right)=sqrtNleft(theta-F(F^-1_N(theta))right)+O_p(1sqrtN),{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=573 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath110" SRC="img51.gif"  > '; 
$key = q/{_inline}$F(x)getheta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=72 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline196" SRC="img21.gif"  > '; 
$key = q/{displaymath}F_N(x)=1overNsum_i=1^NI{tildeX_ilex}.{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=357 HEIGHT=49 ALIGN=BOTTOM ALT="displaymath102" SRC="img27.gif"  > '; 
$key = q/{_inline}$x=mu_theta=F^-1(theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=134 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline264" SRC="img47.gif"  > '; 
$key = q/{_inline}$mu_1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline146" SRC="img10.gif"  > '; 
$key = q/{_inline}$tildeX_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=20 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline236" SRC="img37.gif"  > '; 
$key = q/{_inline}$F(F^-1(theta))=theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=118 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline192" SRC="img19.gif"  > '; 
$key = q/{_inline}$hatmu_theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline206" SRC="img24.gif"  > '; 
$key = q/{_inline}$F^-1(F(mu_theta))=mu_theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=137 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline194" SRC="img20.gif"  > '; 
$key = q/{_inline}$+infty${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=32 HEIGHT=23 ALIGN=MIDDLE ALT="tex2html_wrap_inline154" SRC="img12.gif"  > '; 
$key = q/{_inline}$tildeX_1;SPMlt;tildeX_2;SPMlt;cdots;SPMlt;tildeX_N-1;SPMlt;tildeX_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=242 HEIGHT=34 ALIGN=MIDDLE ALT="tex2html_wrap_inline238" SRC="img38.gif"  > '; 
$key = q/{_inline}$-infty${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=32 HEIGHT=16 ALIGN=MIDDLE ALT="tex2html_wrap_inline152" SRC="img11.gif"  > '; 
$key = q/{_inline}$F(F^-1(theta))getheta,quad0;SPMlt;theta;SPMlt;1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=223 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline186" SRC="img18.gif"  > '; 
$key = q/{displaymath}sigma^2=theta(1-theta)overf(mu_theta)^2.{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=308 HEIGHT=45 ALIGN=BOTTOM ALT="displaymath105" SRC="img44.gif"  > '; 
$key = q/{_inline}$hatmu_1=F_N^-1(1)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=98 HEIGHT=34 ALIGN=MIDDLE ALT="tex2html_wrap_inline220" SRC="img32.gif"  > '; 
$key = q/{_inline}$mu_theta=F^-1(theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=98 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline162" SRC="img14.gif"  > '; 
$key = q/{displaymath}sqrtNleft(F_N(hatmu_theta)-F(hatmu_theta)right)=sqrtNleft(F_N(F_N^-1(theta))-F(F_N^-1(theta))right)LongrightarrowN(0,theta(1-theta)).{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=624 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath108" SRC="img49.gif"  > '; 
$key = q/{_inline}$f(mu_theta);SPMgt;0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=78 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline256" SRC="img42.gif"  > '; 
$key = q/{_inline}$0^mboxrmth${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=26 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap_inline142" SRC="img8.gif"  > '; 
$key = q/{_inline}$F(F^-1(theta))${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=82 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline230" SRC="img36.gif"  > '; 
$key = q/{_inline}$(tildeX_1,ldots,tildeX_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=104 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline200" SRC="img23.gif"  > '; 
$key = q/{_inline}$hatmu_.5=F_N^-1(.5)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=107 HEIGHT=34 ALIGN=MIDDLE ALT="tex2html_wrap_inline212" SRC="img28.gif"  > '; 
$key = q/{_inline}$F(x)=theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=72 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline170" SRC="img15.gif"  > '; 
$key = q/{displaymath}sqrtNleft(F^-1_N(theta)-F^-1(theta)right)=sqrtNleft(theta-F(F_N^-1(theta))over-f(tildemu_theta)right)LongrightarrowN(0,sigma^2),{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=512 HEIGHT=49 ALIGN=BOTTOM ALT="displaymath113" SRC="img56.gif"  > '; 
$key = q/{_inline}$tildemu_thetatomu_theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=66 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline284" SRC="img57.gif"  > '; 
$key = q/{_inline}$mu_.5${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=21 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline136" SRC="img5.gif"  > '; 
$key = q/{_inline}$gamma^2=F(x)[1-F(x)]${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=164 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline262" SRC="img46.gif"  > '; 
$key = q/{_inline}$F(F_N^-1(theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=75 HEIGHT=34 ALIGN=MIDDLE ALT="tex2html_wrap_inline274" SRC="img53.gif"  > '; 
$key = q/{_inline}$F^-1(theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=53 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline176" SRC="img16.gif"  > '; 
$key = q/{_inline}$tildemu_theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline278" SRC="img55.gif"  > '; 
$key = q/{_inline}${tildeX_i}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=37 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline226" SRC="img34.gif"  > '; 
$key = q/{_inline}$tildeX${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap_inline132" SRC="img3.gif"  > '; 
$key = q/{displaymath}sqrtNleft(F_N(mu_theta)-F(mu_theta)right)=sqrtNleft(F_N(F^-1(theta))-F(F^-1(theta))right)LongrightarrowN(0,theta(1-theta)).{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=624 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath107" SRC="img48.gif"  > '; 
$key = q/{displaymath}|F_N(F^-1_N(theta))-theta|le1overN.{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=344 HEIGHT=39 ALIGN=BOTTOM ALT="displaymath103" SRC="img39.gif"  > '; 

1;

