## Info

Puv (T) - E{[u(t - t) - nu ][v(t) - n ]} - Ruv (T) - nu n

Wu (1970), using probability theory, has shown that, when pyz(0) = 0,

E{x(t - t) | y(t), z(t)} = E{x(t - t) | y(t)} + E{x(t - t) | z(t)} n Hence, x + = E{x(t - t)|y = b, z > 0} = E{x(t - t) )y = b} + E{x(t - t)z > 0} - nx 8.2-6

Now the two terms on the right-hand side of Equation 8.2-6 will be evaluated. The conditional Gaussian density, f(x | y), given by f (xly) =

[x - nx ]2/o2 + [y - ny ]2/p2 - 2r(x - nx )(y - ny))

Where

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