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

摘要

Computing statistics is important. Traditional data processing in science and engineering starts with computing the basic statistical characteristics such as the population mean and population variance: E=1·~nΣ_(i=1)xi V=1·~nΣ_(i=1)(x_i-E)~2 . Additional problem. Traditional engineering statistical formulas assume that we know the exact values x_i of the corresponding quantity. In practice, these values come either from measurements or from expert estimates. In both case, we get only approximations x_i to the actual (unknown) values x_i.