© 1986 by Biometrika Trust
Prediction mean squared error for state space models with estimated parameters
Graduate School of Business, University of Chicago Chicago, Illinois, 60637, U.S.A.
We obtain a conditional prediction mean squared error for a state space model with estimated parameters. An important application of our results is the derivation of conditional forecast and interpolation mean squared errors for autoregressive-moving average models with estimated parameters. We also obtain the conditional mean squared error for filtered and smoothed estimates of the state vector.
Key Words: Autoregressive-moving average model Conditional expectation Interpolation Mean squared error Parameter Prediction State space