Download or read book Crossings Problems in Random Processes Theory and Their Applications in Aviation written by Sergei L. Semakov and published by Cambridge Scholars Publishing. This book was released on 2019-02-28 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behavior of any real system is a process to a greater or lesser degree probabilistic. As a rule, it is impossible to specify exactly which external influences and internal mechanisms of interaction of the system components will be decisive in the future. As a consequence, we cannot accurately predict the behavior of the system. We can only talk about the probability that, in the future, the system will come to a particular state. While the problem of the probabilistic description of all possible future states of the system is very difficult to answer, it is often enough, for research purposes, to obtain answers to questions that are more simple, for example, “For how long will, on average, the system operate in a given mode?” or “What is the probability that the process of functioning of the system will come out of given mode to a specific point in time?” Problems of this type concern the crossings of a level by a random process. This book states some of the most important fundamental results related to crossings problems. The known problem of first reaching boundaries by a random process is discussed in detail. It explores the solution of this problem for arbitrary continuous processes, and also considers the application of obtained mathematical results to the investigation of the safety of an airplane landing. The book will appeal to engineers and scientists who are interested in the applications of random processes theory and its methods. Its results will also be of interest for mathematicians who study crossings problems.

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Download or read book Computer Mathematics Series II written by Geoffrey Knight and published by . This book was released on 1969 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: General numerical and symbolic analysis; Elementary algebra; Calculus; Difference, differential and integral equations; Abstracts mathematics; Probability and statistics; Optimization mathematical programming: operations research; Mathematical communication theory: information theory; Mathematical systems and control theory; Mathematical logic and switching theory: automata.

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Download or read book 1959 National Telemetering Conference written by and published by . This book was released on 1959 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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