In the report, the application of estimation theory to three problems from aerospace research is described. The applications considered deal with spacecraft attitude estimation, software reliability modelling and estimation, and with a satellite-based navigation algorithm. Maximum likelihood estimation is used in the software reliability case and mean-square estimation in the other two applications. An adaptive iterated extended Kalman filter is evaluated on the basis of simulated and real spacecraft attitude measurement data. Results based on different combinations of attitude measurements and sensor models are compared. Maximum likelihood parameter estimation for four software reliability models is analyzed.


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