The monograph contents totaled the many years results of Scientific school «The Automated System for Ensuring of Reliability and Quality of Equipment - ASONIKA» National research University «Higher school of Economics» (scientific supervisor of the Scientific school - academician of RANS, doctor of technical sciences, professor YU. Kofanov) and long-term cooperation with the scientists of Kiev Institute of mathematical machines and systems problems of the Ukrainian National Sciences Academy (Deputy Director on science, doctor of technical sciences V.P. Strelnikov). The final structure of the monograph had been formed in the discussion of modern problems of reliability aerospace electronic equipment at the XVII International scientific-technical conference «Systemic problems of reliability, quality, mathematical modelling, information and infocommunication technologies in innovation projects». This conference was dedicated to the 20th anniversary of the HSE. The book outlines the basics of probability-physical approach to the study and the assessment of the reliability of onboard aerospace equipment. Presents the methods of estimation of reliability parameters of electronic components, as according to reference data and test or operating results in the presence or absence of failures. Developed the methods of calculation of reliability parameters of mechanical elements of aerospace equipment as well as research methods reliability of redundant and non-redundant, non-renewable and renewable systems on the basis of adequate two-parameter distributions of diffusion. Established the theory of planning reliability test with lightweight, durable, including accelerated testing with new methods of processing the testing results and reliability assessment. We propose new methods of evaluation and prediction of the aerospace equipment reliability to measure the determining parameters. Developed methodology of the statistical characteristics evaluation of the degradation process for the study of single samples of aerospace equipment using information about its representative minobject (minibranch, mineralizatsiya). All problems of reliability, which is solved in this book (mathematical modeling, calculation and experimental evaluation of the reliability of systems) result in the identification of the time until failure (or to failure) distribution. It is proved that when assessing the reliability of onboard aerospace equipment, most accurate results diffusion DN-distribution. On the basis of the law of distribution can be carried out the evaluation of all the necessary parameters of aerospace equipment reliability (mathematical expectations developments, gamma-interest developments, the probability of non-failure operating time for the specified time, the residual resource and others). The book provides a large number of examples and problems, proving the effectiveness and efficiency of the proposed methods. Material monograph mostly taught HSE in the various courses of lectures. The monograph is intended for a wide circle of specialists working in the field design, testing and operation of onboard aerospace equipment, as well as students and graduate students of the HSE in the execution of their coursework, independent scientific research, and the preparation of graduation theses and dissertations.