\immediate\write16{^^JLOADING asy-symbols.sty^^J} 
%%%%%%%% bold
\def\bX{{\mathbf X}}
\def\bx{{\mathbf x}}
\def\bA{\mathbf A}
\def\bT{\mathbf T}
\def\bt{\mathbf t}
\def\bW{\mathbf W}
\def\bV{\mathbf V}
\def\bX{\mathbf X}
\def\bY{\mathbf Y}
\let \Yb = \bY
\def\yb{\mathbf y}
\def\bZ{\mathbf Z}
\def\bz{\mathbf z}
\def\be{\mathbf e_1}
\def\bm{\mathbf m}
\def\bw{\mathbf w}


%%%%%%%% blackboard bold
\def\AA{{\mathbb A}}\def\BB{{\mathbb B}}\def\CC{{\mathbb C}}
\def\DD{{\mathbb D}}\def\EE{{\mathbb E}}\def\FF{{\mathbb F}}
\def\GG{{\mathbb G}}\def\HH{{\mathbb H}}\def\II{{\mathbb I}}
\def\JJ{{\mathbb J}}\def\KK{{\mathbb K}}\def\LL{{\mathbb L}}
\def\MM{{\mathbb M}}\def\NN{{\mathbb N}}\def\OO{{\mathbb O}}
\def\PP{{\mathbb P}}\def\QQ{{\mathbb Q}}\def\RR{{\mathbb R}}
\def\SS{{\mathbb S}}\def\TT{{\mathbb T}}\def\UU{{\mathbb U}}
\def\VV{{\mathbb V}}\def\WW{{\mathbb W}}\def\XX{{\mathbb X}}
\def\YY{{\mathbb Y}}\def\ZZ{{\mathbb Z}}

\def\NNbar{\overline\NN}
\def\RRbar{\overline\RR}
\def\PPbar{\overline\PP}
\def\barR{{\overline\RR}}

%%%%%%%% caligraphic
%\usepackage{eufrak}
\usepackage{euscript}
\let\Cal=\EuScript
\let\muchmore=\gg
\let\muchless=\ll
\let\typewriter=\tt  % for turning on the font

\def\aa{{\Cal A}}\def\bb{{\Cal B}}\def\cc{{\Cal C}}\def\dd{{\Cal D}}
\def\ee{{\Cal E}}\def\ff{{\Cal F}}\def\gg{{\Cal G}}\def\hh{{\Cal H}}
\def\ii{{\Cal I}}\def\jj{{\Cal J}}\def\kk{{\Cal K}}\def\ll{{\Cal L}}
\def\mm{{\Cal M}}\def\nn{{\Cal N}}\def\oo{{\Cal O}}\def\pp{{\Cal P}}
\def\qq{{\Cal Q}}\def\rr{{\Cal R}}\def\ss{{\Cal S}}\def\tt{{\Cal T}}
\def\uu{{\Cal U}}\def\vv{{\Cal V}}\def\ww{{\Cal W}}\def\xx{{\Cal X}}
\def\yy{{\Cal Y}}\def\zz{{\Cal Z}}

%%%%%%%% dots, bars, bubbles
\def\bdot{\bullet}
\def\bitem{\item{$\bullet$}}
\def\hangbdot{\noindent\llap{$\bdot$\quad}}

\def\Bdot{\dot B}
\def\Bdotdot{\ddot B}
\def\Mdot{\dot M}
\def\Mdotdot{\ddot M}

\def\gdot{\dot g}
\def\gddot{\ddot g}

\def\fdot{\dot f}
\def\fddot{\ddot f}
\def\elldot{\dot\ell}
\def\ellddot{\ddot\ell}

\def\Bbub{\raise8pt\hbox to 0pt{$\mkern6mu\scriptscriptstyle\circ$\hss}B}
\def\bubble#1{\raise8pt\hbox to 0pt{$\mkern6mu\scriptscriptstyle\circ$\hss}#1}
\def\intC{\bubble{C}}
\def\fbub{\bubble{f}}
\def\fbar{\bar{f}}
\def\Tbar{\overline T}
\def\psibar{{\bar \psi}}
\def\barg{\bar g}
\def\barG{\bar G}
\def\barPhi{\bar\Phi}   % normal tails

%%%%%%%% Greek
\def\a{\alpha}
\def\b{\beta}
\def\gam{\gamma}	\def\Gam{\Gamma}
\def\del{\delta}	\def\Del{\Delta}
\def\eps{\epsilon}
\def\k{\kappa}
\def\lam{\lambda}	\def\Lam{\Lambda}
\def\om{\omega}		\def\Om{\Omega}
\def\sig{\sigma}
\def\th{\theta}		\def\Th{\Theta}

\def\alphab{\mathbf \alpha}
\def\betab{\mathbf \beta}
\def\thetab{\mathbf \theta}
\def\mub{\mathbf\mu}
\def\pib{\mathbf\pi}
\def\deltab{\mathbf\delta}
\def\Deltab{\mathbf\Delta}
%\let\slashedo=\o
%\let\slashedO=\O
%\chardef\O="1F  %from plain.tex
%\chardef\o="1C
\chardef\slashedO="1F
\chardef\slashedo="1C
\chardef\eszet="19

\def\Yu{Yu}
\def\Ya{Ya}
\def\betahat{\widehat\beta}
\def\thetahat{\lower1pt\hbox to 0pt{\hss$\skew{11}\widehat{\vphantom\theta}$}\theta}
\def\tauhat{\widehat\tau}
\def\estim{\thetahat_n}

%\def\D{\Delta}
%\def\Del{\Delta}
%\def\om{\omega}
%\def\Om{\Omega}
\def\ombar{\overline\om}
\def\tOm{\widetilde \OM}

%\let\oslash=\o


\def\PPnt{\PP_{n,\th}}

\def\PPt{\PP_\theta}
\def\xit{\xi_\theta}
\def\xizz{\xi_{\th_0}}
\def\xiz{\xi_0}
%\def\mle{\thetahat_n}

%\def\half{{\textstyle{1\over2}}}
%\def\quarter{{\textstyle{1\over4}}}
%\def\cid{\smash{\mathop{\longrightarrow}\limits^{\cal D}}}
\def\cid{\rightsquigarrow}

\def\inner#1#2{\langle#1,#2\rangle}
%\def\inner#1#2{\langle#1,#2\rangle}

\def\dn{\delta_n}
%\def\Siln{\sum_{i\le n}}
%\def\siln{\sum\nolimits_{i\le n}}
\def\fisher{{\mathbb I}_0} %%{\ii_0(\theta_0)}
\def\Fisher{{\mathbb I}} %%\ii(\theta_0)}

\def\sumnl#1{{\textstyle\sum\nolimits_{#1}}}
\def\sumNL{\sum\nolimits}
\def\Sumnl#1{{\sum\nolimits_{#1}}}
\def\prodnl#1{{\textstyle\prod\nolimits_{#1}}}
\def\NL{\nolimits}
%\def\sumnl#1{\textstyle\sum\nolimits_{#1}}

%\def\Siln{\sum_{i\le n}}
%\def\siln{\sumnl{i\le n}}
%\def\siln{\sum_{i\le n}}
\def\siln{\sumnl{i\le n}}
\def\Siln{\sum_{i\le n}}

\def\piln{\prod\NL{i\le n}}

\def\true{{\theta_0}}
\def\PPtrue{\PP_{n,\true}}
\def\info{{\mathbb I}_0}

\def\dbyd#1{\frac{\partial}{\partial #1}}
\def\dbyd#1#2{\frac{\partial#1}{\partial #2}}
\def\pdd#1{\frac{\partial}{\partial#1}}


\def\estim{\thetahat_n}
\def\Estim{\theta^*_n}
\def\bart{\bar \th_n}
\def\II{{\mathbb I}}
\def\PPnt{\PP_{n,\th}}

\def\true{\th_0}
\def\tauhat{\widehat\tau}

%\def\SLLN{{\scshape slln}} 
%\def\USLLN{{\scshape uslln}}
%\def\mest{\thetahat_n}
\def\rootJ{J^{1/2}}
\def\irootJ{J^{-1/2}}

\def\pseudotrue{\th_2}
\def\PPnewtrue#1{\PP_{n,{\newtrue#1}}}
\def\PPtrue{\PP_{\th_0}}

\def\clt/{central limit theorem}
\def\info{{\mathbb I}_0}
\def\rootinfo{{\mathbb I}_0^{1/2}}
\def\irootinfo{{\mathbb I}_0^{-1/2}}
\def\LR/{likelihood ratio}
\def\ML/{maximum likelihood}
%\def\tangent{\frak T}
\def\tangent{\mathbf T}
\def\Tnbar{\bar{T}_n}
\def\mlestar{\widetilde{\th}_n}
\def\ttilde{\widetilde{\th}_n}
\def\tG{\widetilde G}


\def\tnstar{\th_n^*}
\def\snstar{s_n^*}
\def\tnhatstar{\mle^*}
\def\snhatstar{\hat s_n^*}
\def\tntildestar{\widetilde \th_n^*}
\def\sntildestar{\tilde s_n^*}
\def\snhat{\hat s_n}
\def\tnhat{\hat t_n}
\def\tntilde{\widetilde \th_n}
\def\sntilde{\tilde s_n}
%\def\likrat{\frak L_n}
\def\likrat{L_n}
%\def\Th{\Theta}

%\def\Section#1#2{\section{#2}}

%\let\\=\newline %VU%



%%%%%%%% arrows and equals

%Knuth exercise 18.46
\def\overArrow#1{\smash{\mathop{\longrightarrow}\limits^{#1}}}
\def\overEqual#1{\smash{\mathop{=}\limits^{#1}}}

\def\upup{\uparrow\uparrow}
\def\downdown{\downarrow\downarrow}

\def\aeto{\overset\scriptstyle{a.e.}\to\longrightarrow}
\def\asto{\overset\scriptstyle{a.s.}\to\longrightarrow}
\def\ucpto{\overset\displaystyle{ucp}\to\longrightarrow}
\def\uccto{\overset\displaystyle{ucc}\to\longrightarrow}
\def\inprobto{\overset\displaystyle{\PP}\to\longrightarrow}
\def\ASto{\overArrow{\hbox{a. s.}}}
\def\QNto{\overArrow{?}}

\def\eqMC{{\underset{ \text{\fiverm(mc)}}\to=}}
\def\aemu/{\text{a.e.}~$[\mu]$}
\def\aemu/{\text{a.e.~$[\mu]$}}
\def\aelam/{\text{a.e.}~$[\lambda]$}
\def\aegam/{\text{a.e.}~$[\gamma]$}
\def\aenu/{\text{a.e.}~$[\nu]$}
\def\aemuL/{\text{a.e.}~$\left[\mu\otimes\Lambda\right]$}
\def\aenumu/{\text{a.e.}~$[\nu+\mu]$}
\let\oldae=\ae
\def\aeQQ/{\text{a.e.}~$[\QQ]$}
\def\aePP/{\text{a.e.}~$[\PP]$}


\def\ae#1{\text{a.e.}~$[#1]$}
%\def\equald{\,\smash{\mathop{=}\limits^{\dd}}\,}
%\def\equalq{\,\smash{\mathop{=}\limits^{?}}\,}
%\def\equalae{\,\smash{\mathop{=}\limits^{ae}}\,}
\def\equald{\overset\displaystyle{\dd}\to=}
\def\equalq{\overset\displaystyle{?}\to=}
%\def\equalae{\overset\displaystyle{a.e.}\to=}
\def\equalae{\underset\displaystyle{a.e.}\to=}
%\def\equalas{\overset\scriptstyle{a.s.}\to=}
\def\equalas{\underset\scriptstyle{a.s.}\to=}
\def\leas{{\underset{ \text{\fiverm a.s.}}\to\le}}
\def\geas{{\underset{ \text{\fiverm a.s.}}\to\ge}}
\def\geas{\underset\scriptstyle{a.s.}\to\ge}
\def\leas{\underset\scriptstyle{a.s.}\to\le}
\def\as/{almost surely}
\def\QNequal{\,\equalq\,}

\def\contig{\vartriangleleft}

\def\abs#1{|#1|}

% Slashed fraction: see Knuth Exercise 11.6
\def\Sfrac#1#2{\kern.1em\raise.5ex\hbox{\the\scriptfont0 #1}\unskip
\kern-.1em/\kern-.15em\lower.25ex\hbox{\the\scriptfont0 #2}}

\def\half{\Sfrac12}
\def\third{\Sfrac13}
\def\quarter{\Sfrac14}
\def\fifth{\Sfrac15}


\def\Pover#1#2{\left(\frac{#1}{#2}\right)}

%%%%%%%% abbreviations
\def\One{{\mathbb I}}
\def\sf/{sigma-field}
\def\BM/{Brownian motion}
%\def\Plm/{local $\PP$-martingale}
%\def\Qlm/{local $\QQ$-martingale}
%\def\LMG/{local martingale}
\def\lamo{\lambda_\omega}
\def\MG/{martingale}
\def\ui/{uniformly integrable}
%\def\sf/{sigma-field}
\def\Binom{\text{Bin}}
\def\Poisson{\text{Poisson}}
\def\Unif{\text{Unif}}
\def\wrt/{with respect to}
\def\SLLN/{{\scshape slln}}
\def\MCLT/{{\scshape mclt}}
\def\LAMT/{Local Asymptotic Minimax Theorem}
\def\LR/{likelihood ratio}
\def\ML/{maximum likelihood}

\def\interior{\text{int}}

\def\AND/{\qt{and\qquad}}
\def\and/{\qt{and\qquad}}


%%%%%%%% misc symbols
\def\bsl{\backslash}

\def\var{\text{var}}
\def\cov{\text{cov}}
%\def\cov{{\rm cov}}
%\def\wlog/{without loss of generality}  %  clash with write to logfile
\def\Wolog/{Without loss of generality}
\def\wolog/{without loss of generality} % changed to avoid clash with Latex and BoxedEPS.tex, 
	%BoxedEPS.tex, line 67:  \let\wlog@ld\wlog 
	%BoxedEPS.tex, line 68:  \def\wlog#1{\relax} 
	%BoxedEPS.tex, line 772:  \let\wlog\wlog@ld %%restore logging 
\def\osc{{\rm osc}}
\def\median{\text{median}}
\def\diag{\text{diag}}
\def\diam{\text{diam}}
\def\trace{\text{trace}}

\def\argmin{\mathop{\rm argmin}}
\def\argmax{\mathop{\rm argmax}}
% 
% 
% clash with Latex?
%\def\iint{\int\!\!\!\int}
%\def\iiint{\int\!\!\!\int\!\!\!\int}

\def\({\big(}
\def\){\big)}
\def\[{\left[}
\def\]{\right]}
\def\lcurl{\left\{}
\def\rcurl{\right\}}

\def\esssup{\mathop{\rm ess\, sup}}
\def\Norm#1{\left\Vert#1\right\Vert}
\def\bignorm#1{\left\Vert#1\right\Vert}
\def\psinorm#1{\norm{#1}_\psi}
\def\Psinorm#1{\Norm{#1}_\psi}
\def\normTV#1{\norm{#1}_{\rm TV}}
\def\normBL#1{\norm{#1}_{\rm BL}}

\def\irootn{{1/\sqrt{n}}}
\def\rootn{{\sqrt{n}}}
\def\rootnu{{\sqrt{\nu\,}}}

\def\Opirootn{O_p(\irootn\,)}
\def\opirootn{o_p(\irootn\,)}
\def\Oirootn{O(\irootn\,)}
\def\oirootn{o(\irootn\,)}

\def\Framenote#1{\bigskip\framepara\hsize{#1}\bigskip}

\let\FrameNote=\Framenote

\def\LIST{\showboxdepth=40\showboxbreadth=45\showlists}


\def\ahat{\widehat a}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\endinput    
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\Fig[#1]#2{\WrapEPSF[#1](#2.eps)(scaled410)\indent\ignorespaces}
\def\FigNI[#1]#2{\WrapEPSF[#1](#2.eps)(scaled410)\noindent\ignorespaces}

\def\noritem{\par\smallskip\noindent}
\def\ritempp(#1){\ritem(#1)\hskip-0.5em$''$\enspace\ignorespaces}
\def\ritem(#1){\relax\MaxVskip\ritemskipamount
\noindent\hangindent\ritemindent\hangafter0
	\llap{(#1)\enspace}\ignorespaces}
\def\mitem#1(#2){\par\ritemskip\noindent\hangindent\ritemindent\hangafter0
	    \llap{\frameword{#1}\enspace(#2)\enspace}\ignorespaces}






\let\ot=\otimes

%\def\argmin{\operatornamewithlimits{argmin}}
% 
% \def\ident{{I}}

%\def\newdef#1{{\NewDef #1}}
%\def\Newdef#1{{\NewDef#1}}

\def\ident{{I}}


%\def\Fig[#1]#2{\WrapEPSF[#1](#2.eps)(scaled410)\indent\ignorespaces}


\def\Hrule{\bigskip\hrule\bigskip}

\def\noritem{\MaxVskip\smallskipamount\noindent}


\def\mle{\thetahat}


%\def\References{\MakeHarvard{DBP}}




\def\Lcc{\to}  % convergence in Le Cam's sense
\def\fisher{{\mathbb I}_0} %%{\ii_0(\theta_0)}
\def\Fisher{{\mathbb I}} %%\ii(\theta_0)}


%% 4 jan 99
\def\mod#1{{\rm mod}[#1]}


%% 6 June 99


%% 23 june 99


%% 27 june 99
%\def\pderiv#1#2{{\partial#1\over\partial#2}}

%16 July 99, from LeCam.Plain.sty

%\PRIVATE
%\def\citeNtwo#1#2{\citeANP@{#1}~(\citeyearNP{#1}, \citeyearNP{#2})}
%\def\citeNthree#1#2#3{\citeA{#1}~(\citeyearNP{#1}, 
%\citeyearNP{#2}, \citeyearNP{#3})}
%
%\def\citetwo#1#2{(\citeNP{#1}, \citeNP{#2})}
%\PUBLIC

\def\noopsort#1{}


\def\moreritem{\par\indent\hangindent\ritemindent\hangafter0\ignorespaces}



% 22 aug 99
	%\def\barPhi{\overline\Phi}   % normal tails


%1 July 2000, from Martingale chapter
\def\STL/{Stopping Time Lemma}
\def\probtext[#1]{\PP\{\text{#1}\}}
%\def\prob[#1|#2]{\PP\{\text{#1} \mid\text{#2}\}} clash with problem


% 24 oct 2000
%\def\bigtimes{\mathop{\big\backslash\mkern-11mu\big/}}
%\def\bigtimes{\mathop{\raise2pt\hbox{$\backslash\mkern-8.5mu/$}}}

%\font\cmss=cmss10 at 11pt
\def\bigtimes{\mathop{\hbox{\cmss X}}}


\def\citeNthree#1#2#3{\citeAN{#1}~(\citeyearNP{#1}, \citeyearNP{#2}, \citeyearNP{#3})}


\def\bx{{\bf x}}
\def\IFF/{\qt{iff\qquad}}


% 6 dec 06 from Categorical

\def\bp{\mathbf p}
\def\bph{\widehat{\mathbf p}_n}
\def\bphat{\widehat{\mathbf p}}
%\def\true{\pib_0}   clash with theta_0
\def\fb{\mathbf f_n}
\let\fbn=\fb
\def\bp{\mathbf p}
\def\bph{\widehat{\mathbf p}_n}
\def\muhat{{\widehat\mu}}
\def\bfn{\mathbf f_n}
\def\rootlambda#1{\sqrt{\mathstrut\lambda_#1}}
\def\rootmu#1{\sqrt{\mathstrut\mu_#1}}
\def\bigohi{O_p(\irootn\,)}
\def\littleohi{o_p(\irootn\,)}

\def\hangbullet{\item{$\bullet$}}
\def\pdd#1{{\partial\over\partial#1}}

\def\pib{\mathbf{\pi}}
\def\rstrut{\hbox to 0pt{\vbox to8pt{}}}


% from Chap Classical

\def\estim{\thetahat_n}
\def\Estim{\theta^*_n}
\def\barg{\bar g}
\def\bart{\bar \th_n}
\def\barG{\bar G}
\def\II{{\mathbb I}}
\def\PPnt{\PP_{n,\th}}
\def\true{{\th_0}}
\def\tauhat{\widehat\tau}

\def\SLLN{{\scshape slln}} 
\def\USLLN{{\scshape uslln}}
\def\mest{\thetahat_n}
\def\rootJ{J^{1/2}}
\def\irootJ{J^{-1/2}}
\def\gdot{\dot g}
\def\gddot{\ddot g}
\def\pseudotrue{\th_2}
\def\PPnewtrue#1{\PP_{n,{\newtrue#1}}}
\def\PPtrue{\PP_{\th_0}}

\def\clt/{central limit theorem}
\def\info{{\mathbb I}_0}
\def\rootinfo{{\mathbb I}_0^{1/2}}
\def\irootinfo{{\mathbb I}_0^{-1/2}}
%\def\tangent{\frak T}
%%%\def\tangent{\bold T}
\def\Tnbar{\bar{T}_n}
\def\mlestar{\widetilde{\th}_n}
\def\ttilde{\widetilde{\th}_n}
\def\tG{\widetilde G}
\def\Bdot{\dot B}
\def\Bdotdot{\ddot B}
\def\tnstar{t_n^*}
\def\thstar{\th_n^*}
\def\snstar{s_n^*}
\def\tnhatstar{\mle^*}
\def\snhatstar{\hat s_n^*}
\def\tntildestar{\widetilde \th_n^*}
\def\sntildestar{\tilde s_n^*}
\def\snhat{\hat s_n}
\def\tnhat{\hat t_n}
\def\tntilde{\widetilde \th_n}
\def\sntilde{\tilde s_n}
%\def\likrat{\frak L_n}
\def\likrat{L_n}
\def\Th{\Theta}



\def\wrt/{with respect to}
\def\sf/{sigma-field}

\def\sigf/{$\sigma$-field}
\def\MLE/{maximum likelihood estimator}
\def\Xbar{\bar X_n}
\def\Xbar{\overline X_n}
\def\ttilde{\widetilde\th_n}


\def\tnhat{\hat t_n}
\def\ttilde{\widetilde\th_n}
\def\Jnhat{\widehat J_n}
\def\Dnhat{\widehat D_n}

