Type A expanded uncertainty assigned to the measurand

Abstract

The Monte Carlo Method was used to calculate the coverage factors for the convolution of two t-distributions laws with a different number of degrees of freedom and the ratio of standard deviations. Approximating expressions for the coverage factor of this convolution are given. The relative errors of applying these approximating expressions are calculated. The choice of an expression that provides the most accurate approximation of the obtained numerical values is substantiated. A technique for finding the number of degrees of freedom of the resulting convolution is proposed