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(Solved): Consider the AR(1) series x_(t)=\phi x_(t-1)+w_(t), where w_(t) is white noise with variance \sigma ...



Consider the

AR(1)

series

x_(t)=\phi x_(t-1)+w_(t),

where

w_(t)

is white noise with variance

\sigma _(w)^(2)

and the model parameters are known. Suppose that we have observed

x_(1)

and

x_(3)

, and we would like to estimate the missing value

x_(2)

. Find the best linear predictor of

x_(2)

in terms of

x_(1),x_(3)

and

\phi

.



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