The article describes a new direction of observation results processing as well as other directions of the development of mathematical statistics with the results interesting to an engineer. The comparison of methods of accelerated tests statistics for safety analysis is performed alongside with durability and quality analysis of high technology products. The timeproof models are represented (Lehmann, Cox, AFT, Sedyakin models) in adoption to different experiment conditions, the models capable to take into consideration the influence of all the important factors — tiredness, weariness, aging, degradation.