The random variations of technological parameters are always existent during manufacturing

which have a definite impact on transmission performance of transmission lines.Considering the impact

the stochastic model for transmission lines is proposed

and the precise integration algorithm is combined with Monte Carlo method to analyze the transient response of the stochastic model.Jarque-Bera test is made for the normality of the model's output and the worst-case estimation is given.In the case of sinusoidal excitation

lossless transmission lines are considered.The analytic form of first moment of the corresponding stochastic differential equation's solution is derived

and the numerical computation method for second moment is given

finally the upper and lower bound of the output signal's amplitude and phase shift is estimated.Experimental results demonstrate that the proposed stochastic model and the statistical analysis method can evaluate the transmission performance of transmission lines effectively.