Method of evaluation the measurement uncertainty of the minimal value of observations and its application in testing of plastic products

In this paper the non-standard statistical method for evaluating uncertainty, when a minimal observation is the measurement result, is proposed. This method is based on properties of minimal order statistic. As example, in measurement practice this method is used to evaluate the uncertainty of a percent elongation and tensile strength in testing plastic products. The accuracy of obtained experimental results is also investigated by Monte Carlo simulation. Proposed method can be used to uncertainty evaluation of another quantities, when the minimal (or maximal) value of several normally distributed random observations is the result of measurement.