Verification Adequacy of Mathematical Models to Real Gas Sensors

6 VERIFICATION ADEQUACY OF MATHEMATICAL MODELS TO REAL GAS SENSORS 

The comprehensive analysis of physical, chemical, and electrochemical processes occurring in the solid electrolyte gas sensors, allows verifying the adequacy of mathematical models to the real gas sensors. Processing the results of multiple experimental measurements of the gas sensors consists in elucidation of the type of experimental data distribution, evaluation of the parameters of the established distribution, and verification of the adequacy of the mathematical model to the real sensor. 

Both mathematical expectation and the dispersion of incidental value are characterized by the most important distribution features — its posture and the order of incoherence. The dissipation interval of the incidental value around its mathematical expectation characterizes the average quadratic divergence (1 ,). The Bessel function for the estimation of average quadratic error of the observation result can be represented as follows  

The moments of the highest orders [65] are used for more descriptive characterization of distribution. The asymmetry coefficient Yj = ju a, where ju is the central 

The excess Y2 = - 3, where 114 is the central moment of the fourth order 

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