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This paper presents a novel approach to detect and diagnose faults in the dynanmic part of a chis of stochastic sys-tems. the Such a group of systems are subjected to a set of crisp inputs but the outputs considered are the measurable probability density functions (PDFs) of the system output, rather than thie system output alone. A new approximation model is developed for the output probability density functions so that the dynamic part of the system is decoupled fron the output probability density functions. A nonlinear adaptive observer is constructed to detect and diagnose the fault in the dynamic part of the system. Convergency analysis is perfomed for the error dynamics raised from the fault detection and diagnosis phase and an applicability study on the detection and diagnosis of the unexpected changes in the 2D grmmage distributions in a paper forming process is included.