A linear regression model for the field emission signal

Abstract

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.