Uncertainty theory is a branch of mathematics for modeling human uncertainty, and uncertain statistics is a methodology for collecting and interpreting expert's experimental data by uncertainty theory. In order to estimate uncertainty distributions via experts' experimental data, this paper will present a method of moments and design a numerical method to find moment estimate of unknown parameters.

Uncertain random variable is developed to describe the phenomenon which mixes uncertainty with randomness. The variance of uncertain random variable may provide a degree of the spread of the distribution around its expected value. This paper presents a formula to obtain the variance of uncertain random variable.