Interval Estimators of the Centre and Width of a Two-Dimensional Microstructure

In metrology it is used to estimate the stipulated quantity as a mean and its uncertainty. This procedure is legitimate when the evaluated data are symmetrically distributed and the distribution is (at least approximately) known. But there exist many evaluating treatments in which the evaluated values are non-symmetrically distributed. In this case it is mathematically correct to use an interval estimator for the stipulated (measured) quantity i.e. to evaluate the (1-α)-confidence interval for the (true) stipulated (measured) quantity. This (random) interval covers with probability 1-α the (true) stipulated quantity. In the paper are presented interval estimators for some parameters of two-dimensional structures.