@(@\newcommand{\R}[1]{ {\rm #1} }
\newcommand{\B}[1]{ {\bf #1} }
\newcommand{\W}[1]{ \; #1 \; }@)@
This is cppad_mixed--20220519 documentation: Here is a link to its
current documentation
.
B
The notation B(beta, theta, u)
( @(@
B( \beta , \theta , u )
@)@ )
is used for the second order random constraint approximation.
c
The notation
c(theta)
( @(@
c( \theta )
@)@ )
is used for the fixed effects constraints as a function.
c_L
The notation
c_L
( @(@
c_L
@)@ )
is used for the lower limit of the constraints on the fixed effects.
c_U
The notation
c_U
( @(@
c_U
@)@ )
is used for the upper limit of the constraints on the fixed effects.
f
The notation f(theta, u)
( @(@
f( \theta , u )
@)@ )
is used for the random likelihood function.
g
The notation g(theta)
( @(@
g( \theta )
@)@ )
is used for the fixed likelihood function.
h
The notation
h(theta, u)
( @(@
h( \theta , u )
@)@ )
is used for the Laplace approximation function.
H
The notation H(beta, theta, u)
( @(@
H( \beta , \theta , u )
@)@ )
is used for the second order Laplace objective.
p
The notations
@(@
\B{p} ( \cdot )
@)@ and
@(@
\B{p} ( \cdot | \cdot )
@)@ are use for the
probability density (conditional probability density) functions;
see
p(theta)
,
p(z | theta)
,
p(u | theta)
,
p(y | theta, u)
.
r
The notation
r(theta)
( @(@
r( \theta )
@)@ )
is used for the Laplace objective function.
L
The notation
L(theta)
( @(@
L( \theta )
@)@ )
is used for the fixed effects objective function.
u
The notation u
( @(@
\theta
@)@ )
is used for the vector of fixed effects.
u^(theta)
The notation
u^(theta)
( @(@
\hat{u}( \theta )
@)@ )
is used for the optimal random effects.
U
The notation U(beta, theta, u)
( @(@
U( \beta , \theta , u )
@)@ )
is used for the first order optimal random effects.
W
The notation W(beta, theta, u)
( @(@
W( \beta , \theta , u )
@)@ )
is used for the second order approximation of optimal random effects.
theta
The notation theta
( @(@
\theta
@)@ )
is used for the vector of fixed effects.
y
The notation y
is used for data that depends on the random effects.
z
The notation z
is used for data that does not depend on the random effects.
Input File: omh/math_notation.omh
