Computing Expected Value under Interval Uncertainty

Formulation of the Problem

In statistics, the values of the statistical characteristics are estimated either directly from the sample x₁,...,x _n , or indirectly: based on the values of other statistical characteristics that have already been estimated based on the sample.

In most of the previous chapters, we considered the situations in which:

• we want to compute the statistical characteristics of a probability distribution based on a sample x₁,...,x _n , and

• we know the values x _i with interval uncertainty.