The Application of the Known Solution of a Problem of Attaining the Boundaries by Non-Markovian Process to Estimation of Probability of Safe Airplane Landing

摘要

The problem of probabilistic calculation of the precision of airplane landing is considered. The problem is shown to be directly connected with the mathematical problem of the estimation of probability of a many-dimensional stochastic process exit to a distinguished part of the boundary of a given domain. A method is proposed for the calculation of probability of a plane landing on the given region of the surface, satisfying the restrictions specified on the phase coordinates on the basis of the previously gained estimates of desired probability, for the case where the mentioned domain is a half-space. The realization of the method applied to the landing of an airplane on a ship is considered.