\newcommand{\chfk}{\mbox{$1 \! \! \! \; \mbox{\rm I}$}}
\newcommand{\suml}{\sum\limits}
\newcommand{\intl}{\int\limits}

%\newcommand{\proof}{{\sl Proof.}}

%\newcommand{\iint}{\int \! \! \int}

%\newcommand{\vX}{{\bf X}}
\newcommand{\vK}{\mbox{\boldmath $K$}}
\newcommand{\vX}{\mbox{\boldmath $X$}}
\newcommand{\vx}{\mbox{\boldmath $x$}}
\newcommand{\vu}{\mbox{\boldmath $u$}}
\newcommand{\hSsigma}{\mbox{\boldmath $\h \Sigma$}}
\newcommand{\sep}{\hspace*{0.5cm}}
\newcommand{\vnull}{{\bf 0}}
\newcommand{\veins}{{\bf 1}}
\newcommand{\vC}{{\bf C}}
\newcommand{\vF}{{\bf F}}
\newcommand{\vI}{{\bf I}}
\newcommand{\vT}{{\bf T}}

\newcommand{\dkonv}{\stackrel{d}{\longrightarrow}}
\newcommand{\pkonv}{\stackrel{P}{\longrightarrow}}
\newcommand{\askonv}{\stackrel{a.s.}{\longrightarrow}}

\newcommand{\bqa}{\begin{eqnarray*}}
\newcommand{\eqa}{\end{eqnarray*}}
\newcommand{\bqan}{\begin{eqnarray}}
\newcommand{\eqan}{\end{eqnarray}}
\newcommand{\bqt}{\begin{quote}}
\newcommand{\eqt}{\end{quote}}
\newcommand{\bt}{\begin{tabbing}}
\newcommand{\et}{\end{tabbing}}
\newcommand{\bit}{\begin{itemize}}
\newcommand{\eit}{\end{itemize}}
\newcommand{\ben}{\begin{enumerate}}
\newcommand{\een}{\end{enumerate}}
\newcommand{\beq}{\begin{equation}}
\newcommand{\eeq}{\end{equation}}
\newcommand{\bdefi}{\begin{definition}}
\newcommand{\edefi}{\end{definition}}
\newcommand{\bpro}{\begin{proposition}}
\newcommand{\epro}{\end{proposition}}
\newcommand{\blem}{\begin{lemma}}
\newcommand{\elem}{\end{lemma}}
\newcommand{\bth}{\begin{theorem}}
%\newcommand{\eth}{\end{theorem}}
\newcommand{\bco}{\begin{corollary}}
\newcommand{\eco}{\end{corollary}}
\newcommand{\bdes}{\begin{description}}
\newcommand{\edes}{\end{description}}
\newcommand{\bre}{\begin{remark}}
\newcommand{\ere}{\end{remark}}

%\newtheorem{definition}{Definition}[section]
%\newtheorem{proposition}[definition]{Proposition}
%\newtheorem{lemma}[definition]{Lemma}
%\newtheorem{theorem}[definition]{Theorem}
%\newtheorem{corollary}[definition]{Corollary}
%\newtheorem{remark}[definition]{Remark}

\newcommand{\hnoi}{\hang\noindent}
\newcommand{\noi}{\noindent}
\def\bib{\par\noindent\hangindent=0.5 true cm\hangafter=1}

\newcommand{\hsp}{\hspace*{0.7 cm}}
\newcommand{\m}{\hspace{-0.25 cm}}
\newcommand{\si}{\sigma}
\newcommand{\ep}{\varepsilon}
\newcommand{\La}{\Lambda}
\newcommand{\h}{\hat}
\newcommand{\hm}{\h m}
\newcommand{\hsi}{\h \si}
\newcommand{\sumi}{\sum_{i=1}^n}
\newcommand{\sumj}{\sum_{j=1}^n}
\newcommand{\sumk}{\sum_{k=1}^n}
\newcommand{\IR}{\mbox{$I\!\!R$}}
\newcommand{\IN}{\mbox{$I\!\!N$}}
\newcommand{\Var}{\mbox{Var}}
\newcommand{\Cov}{\mbox{Cov}}
\newcommand{\be}{\beta}
\newcommand{\hbe}{\h \be}
\newcommand{\hIij}{\h I_{ij}}

\newcommand{\ds}{\displaystyle}