%% Maths Definitions
\newcommand{\bfzero   }{\hbox{\boldmath$0$}}
\newcommand{\bfalpha  }{\hbox{\boldmath$\alpha$}}
\newcommand{\bfkappa  }{\hbox{\boldmath$\kappa$}}
\newcommand{\bfnu     }{\hbox{\boldmath$\nu$}}
\newcommand{\bfphi    }{\hbox{\boldmath$\phi$}}
\newcommand{\bfPhi    }{\hbox{\boldmath$\Phi$}}
\newcommand{\bfpsi    }{\hbox{\boldmath$\psi$}}
\newcommand{\bflambda }{\hbox{\boldmath$\lambda$}}
\newcommand{\bfTheta  }{\hbox{\boldmath$\Theta$}}
\newcommand{\bftheta  }{\hbox{\boldmath$\theta$}}
\newcommand{\bfstheta }{\hbox{\scriptsize\boldmath$\theta$}}
\newcommand{\bfepsilon}{\hbox{\boldmath$\epsilon$}}
\newcommand{\bfbeta   }{\hbox{\boldmath$\beta$}}
\newcommand{\bfeta    }{\hbox{\boldmath$\eta$}}
\newcommand{\bfpi     }{\hbox{\boldmath$\pi$}}
\newcommand{\bfprod   }{\hbox{\boldmath$\prod$}}
\newcommand{\bfSigma  }{\hbox{\boldmath$\Sigma$}}
\newcommand{\bfsigma  }{\hbox{\boldmath$\sigma$}}
\newcommand{\bfmu     }{\hbox{\boldmath$\mu$}}

\newcommand{\bfa}{\hbox{\boldmath$a$}}
\newcommand{\bfA}{\hbox{\boldmath$A$}}
\newcommand{\bfb}{\hbox{\boldmath$b$}}
\newcommand{\bfB}{\hbox{\boldmath$B$}}
\newcommand{\bfc}{\hbox{\boldmath$c$}}
\newcommand{\bfC}{\hbox{\boldmath$C$}}
\newcommand{\bfd}{\hbox{\boldmath$d$}}
\newcommand{\bfD}{\hbox{\boldmath$D$}}
\newcommand{\bfe}{\hbox{\boldmath$e$}}
\newcommand{\bfE}{\hbox{\boldmath$E$}}
\newcommand{\bff}{\hbox{\boldmath$f$}}
\newcommand{\bfF}{\hbox{\boldmath$F$}}
\newcommand{\bfg}{\hbox{\boldmath$g$}}
\newcommand{\bfG}{\hbox{\boldmath$G$}}
\newcommand{\bfI}{\hbox{\boldmath$I$}}
\newcommand{\bfl}{\hbox{\boldmath$l$}}
\newcommand{\bfJ}{\hbox{\boldmath$J$}}
\newcommand{\bfk}{\hbox{\boldmath$k$}}
\newcommand{\bfK}{\hbox{\boldmath$K$}}
\newcommand{\bfm}{\hbox{\boldmath$m$}}
\newcommand{\bfM}{\hbox{\boldmath$M$}}
\newcommand{\bfn}{\hbox{\boldmath$n$}}
\newcommand{\bfN}{\hbox{\boldmath$N$}}
\newcommand{\bfO}{\hbox{\boldmath$O$}}
\newcommand{\bfp}{\hbox{\boldmath$p$}}
\newcommand{\bfP}{\hbox{\boldmath$P$}}
\newcommand{\bfr}{\hbox{\boldmath$r$}}
\newcommand{\bfR}{\hbox{\boldmath$R$}}
\newcommand{\bfs}{\hbox{\boldmath$s$}}
\newcommand{\bfS}{\hbox{\boldmath$S$}}
\newcommand{\bft}{\hbox{\boldmath$t$}}
\newcommand{\bfT}{\hbox{\boldmath$T$}}
\newcommand{\bfu}{\hbox{\boldmath$u$}}
\newcommand{\bfU}{\hbox{\boldmath$U$}}
\newcommand{\bfv}{\hbox{\boldmath$v$}}
\newcommand{\bfV}{\hbox{\boldmath$V$}}
\newcommand{\bfw}{\hbox{\boldmath$w$}}
\newcommand{\bfW}{\hbox{\boldmath$W$}}
\newcommand{\bfx}{\hbox{\boldmath$x$}}
\newcommand{\bfX}{\hbox{\boldmath$X$}}
\newcommand{\bfy}{\hbox{\boldmath$y$}}
\newcommand{\bfY}{\hbox{\boldmath$Y$}}
\newcommand{\bfz}{\hbox{\boldmath$z$}}
\newcommand{\bfZ}{\hbox{\boldmath$Z$}}
\newcommand{\R  }{{\mathbb R}}

\newcommand{\hbfa    }{\hat{\bfa}}
\newcommand{\hbfb    }{\hat{\bfb}}
\newcommand{\bbfa    }{\bar{\bfa}}
\newcommand{\bbfb    }{\bar{\bfb}}
\newcommand{\blambda }{\mbox{\boldmath $\lambda$}}
\newcommand{\btheta  }{\mbox{\boldmath $\theta$}}
\newcommand{\bmu     }{\mbox{\boldmath $\mu$}}
\newcommand{\bepsilon}{\mbox{\boldmath $\epsilon$}}
\newcommand{\bTheta  }{\mbox{\boldmath $\Theta$}}
\newcommand{\comment }[1]{}

\newcommand{\se   }{\sigma^2_\epsilon}
\newcommand{\s    }{\sigma^2}
\newcommand{\invse}{\sigma^{-2}_\epsilon}
\newcommand{\invs }{\sigma^{-2}}

\newcommand{\dsum }{\displaystyle\sum}
\newcommand{\dint }{\displaystyle\int}
\newcommand{\dprod}{\displaystyle\prod}
\newcommand{\fracd}{\displaystyle\frac}
