Estimating Variance Under Interval and Fuzzy Uncertainty: Case of Hierarchical Estimation

Additional problem. Traditional engineering statistical formulas assume that we know the exact values xi of the corresponding quantity. In practice, these values come either from measurements or from expert estimates. In both case, we get only approximations x̃i to the actual (unknown) values xi. When we use these approximate values x̃i 6= xi to compute the desired statistical characteristics such as E and V , we only get approximate valued Ẽ and Ṽ for these characteristics. It is desirable to estimate the accuracy of these approximations.