Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

θ 1 ( t + 1 ) P ( θ 1 | Y 1 ( o b s ) , Y 2 ( t ) , , Y p ( t ) ) Y 1 ( ) ( t + 1 ) P ( Y 1 | θ 1 ( t + 1 ) ) Y 1 ( t + 1 ) = ( Y 1 ( o b s ) , Y 1 ( ) ( t + 1 ) ) θ p ( t + 1 ) P ( θ p | Y 1 ( t + 1 ) , , Y p 1 ( t + 1 ) , Y p ( o b s ) ) Y p ( ) ( t + 1 ) P ( Y p | θ p ( t + 1 ) ) Y p ( t + 1 ) = ( Y p ( o b s ) , Y p ( ) ( t + 1 ) )

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \btheta ^{(t+1)}_{1} & \sim & P(\, \btheta _{1} \, |\, Y_{1(\mi{obs})}, Y^{(t)}_{2}, \ldots , Y^{(t)}_{p} \, ) \\ Y^{(t+1)}_{1(*)} & \sim & P(\, Y_{1} \, |\, \btheta ^{(t+1)}_{1} \, ) \\ Y^{(t+1)}_{1} & = & (Y_{1(\mi{obs})}, Y^{(t+1)}_{1(*)}) \\ & \ldots & \\ & \ldots & \\ \btheta ^{(t+1)}_{p} & \sim & P(\, \btheta _{p} \, |\, Y^{(t+1)}_{1}, \ldots , Y^{(t+1)}_{p-1} , Y_{p(\mi{obs})} \, ) \\ Y^{(t+1)}_{p(*)} & \sim & P(\, Y_{p} \, |\, \btheta ^{(t+1)}_{p} \, ) \\ Y^{(t+1)}_{p} & = & (Y_{p(\mi{obs})}, Y^{(t+1)}_{p(*)}) \end{eqnarray*}