Abstract:

A testing methodology for the system maximumerror specification based on the extreme value theory is proposed. It an  provide a theoretic basis for the testing of maximumerror specification on longworking systems in some special  fields, such as aviation, aeronautics and national defenses. Firstly, the error series of system outputs is divided into  blocks by obeying some essential principals, and the corresponding maximum error series  which are nearly independent  with each other are gotten. Secondly, the extreme value models for the maximum error series are built and the return  level and its uncertainty are obtained under some return period. Then,  the relationships between the return level and  the maximumerror specification are researched and the system maximumerror specification is tested and evaluated by  using classic statistical theories. After that, a practical sample is given to introduce the methodology more clearly,  which shows that this methodology is feasible. Finally, by comparing the proposed methodology with that based on the time  series models from different points of view, some conclusions are given.