Monte Carlo Analysis of Sensor Fault Detection & Diagnosis

With a mathematical model, I have estimated aircraft parameters using the extended Kalman filter. Now I have to verify whether the proposed system is robust against uncertainties. I have estimated data and true sensor data. How to do Monte Carlo analysis with this information? I am not using any physical model of the aircraft but I am using Kinematic relationships of the aircraft i.e Kinematic model. How to perform the Monte Carlo analysis of my FDD algorithm using Matlab.