A linear regression model for the field emission signal

In the paper the problem of constructing a linear regression model to estimate the parameters of the integral Fowler-Nordheim equation is considered. Numerical modeling of the field emission current with a normally distributed noise is carried out. Based on the method of least squares, estimates of the parameters of the Fowler-Nordheim equation are constructed. The application of statistical tests showed that in most cases the remains of a linear regression model are normally distributed, in spite of the logarithmic transformation of the integrated current-voltage characteristics. In a sense, the results are justify the applicability of the convenient methods of linear regression analysis to estimate the parameters of the I-V curve.