Formulation of the Problem
Need for statistical analysis. In many areas of science and engineering, we have a class (“population”) of objects, and we are interested in the values of one or several quantities characterizing objects from this population. For example, we are interested in the human population in a certain region, and we are interested in their heights, weights, etc.
Different objects from a population have, in general, different values of the desired characteristics. Measuring, storing, and processing all these values is often not practically feasible. Instead of measuring all these values, we therefore measure the values x1,..., x n corresponding to a sample from the population. Based on these sample values, we need to estimate statistical characteristics c – i.e., characteristics that describe the population as a whole, such as the mean and the variance of different quantities, the correlation between different quantities, etc.
KeywordsMeasurement Error Measurement Uncertainty Interval Uncertainty Expert Estimate Privacy Violation
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