Probability Theory, Mathematical Statistics, and Theoretical Cybernetics

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1. Verfasser: Gamkrelidze, R. V. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Boston, MA Springer US 1972
Schriftenreihe:Progress in Mathematics 13
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500 |a This work is a continuation of earlier volumes under the heading "Probability Theory, Mathematical Statistics, and Theo­ retical Cybernetics," published as part of the "Itogi Nauki" series. The present volume comprises a single review article, en­ titled "Reliability of Discrete Systems," covering material pub­ lished mainly in the last six to eight years and abstracted in "Referativnyi Zhurnal-Matematika" (Soviet Abstract Journal in Mathematics). The bibliography encompasses 313 items. The editors welcome inquiries regarding the present volume or the format and content of future volumes of the series; corre­ spondence should be sent to the following address: Otdel Matemat­ ika (Mathematics Section), Baltiiskaya ul., 14, Moscow, A-219. v Contents RELIABILITY OF DISCRETE SYSTEMS M. A. Gavrilov, V. M. Ostianu, and A. I. Potekhin Introduction . . . . . . . . . . . . . . • . . . . . • . . . .. . . 1 . . . . . . CHAPTER 1. Assurance of Infallibility in Discrete Systems........ . . . . . . . . .. . . . 5 1. State of the Art .•.......•.................. 5 2. Basic Definitions, Concepts, and Problem Formulations.. 6 3. Redundancy Models. . . . . . . . . . . . . . . . . . •. . . 10 . • . . 4. Composition Methods ........................ 17 5. Majority Methods . . . . . . . . . . . . . . . . . . . •. . . 27 . . . . 6. Methods Using the Interweaving Model. . . . . . . . . .. . . 35 7. Methods Using Effective-Coding Models. . . . . . . . .. . . 38 CHAPTER II. Assurance of Stability in Discrete System s. . . . . . . . . . . . . . . . . . . . . .. . . 63 . . . . . 1. Basic Concepts and Definitions . . . . . . . . . . . . .. . . 63 . . 2. Elimination of Inadmissible I-Races. . . . . . . . . . .. . . 69 . 3. Elimination of Inadmissible E-Races . . . . . . . . . .. . . 70 . 4. Elimination of Inadmissible M-Races . . . . . . . . . .. . . 73 . 5. Elimination of Inadmissible L-Races . . . . . . . . . .. . . 86 
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series2 Progress in Mathematics
spellingShingle Gamkrelidze, R. V.
Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
Statistics
Statistics, general
Statistik
title Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
title_auth Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
title_exact_search Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
title_full Probability Theory, Mathematical Statistics, and Theoretical Cybernetics edited by R. V. Gamkrelidze
title_fullStr Probability Theory, Mathematical Statistics, and Theoretical Cybernetics edited by R. V. Gamkrelidze
title_full_unstemmed Probability Theory, Mathematical Statistics, and Theoretical Cybernetics edited by R. V. Gamkrelidze
title_short Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
title_sort probability theory mathematical statistics and theoretical cybernetics
topic Statistics
Statistics, general
Statistik
topic_facet Statistics
Statistics, general
Statistik
url https://doi.org/10.1007/978-1-4684-8079-5
work_keys_str_mv AT gamkrelidzerv probabilitytheorymathematicalstatisticsandtheoreticalcybernetics