The use of the theory of order statistics in verification of security requirements on the example of automatic aircraft landing systems
The classical mathematical statistics deals usually with probabilities in the range from 0.01 to 0.99. While solving the problems of safety management we are dealing with probabilities which are close either to zero (e.g.:10 <sup>-6</sup>) or to one (e.g.: 0.999999). Under this circumstance the use of standard statistical methods are often does not yield satisfactory results. The article describes the application of order statistics theory for getting some useful results in solving the problems of confirming the requirements to the characteristics of automatic landing systems, which are determining the safety of an aircraft, those results expressed in the probabilistic form.