LEADER 07233nam 2200649 a 450 001 9910462253503321 005 20211104201639.0 010 $a3-11-096850-9 024 7 $a10.1515/9783110968507 035 $a(CKB)2670000000249536 035 $a(EBL)935695 035 $a(OCoLC)843205161 035 $a(SSID)ssj0000594692 035 $a(PQKBManifestationID)11375234 035 $a(PQKBTitleCode)TC0000594692 035 $a(PQKBWorkID)10549699 035 $a(PQKB)11301396 035 $a(MiAaPQ)EBC935695 035 $a(WaSeSS)Ind00008885 035 $a(DE-B1597)49885 035 $a(OCoLC)992454502 035 $a(DE-B1597)9783110968507 035 $a(Au-PeEL)EBL935695 035 $a(CaPaEBR)ebr10591255 035 $a(CaONFJC)MIL805400 035 $a(EXLCZ)992670000000249536 100 $a20120831d1972 uy 0 101 0 $alat 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aAccedunt$b[electronic resource] $enicetae paphlagonis epistulae /$fArethae ; recensvit L.G. Westerink 205 $a1. Aufl. 210 $aLeipzig $cB.G. Teubner$d1972 215 $a1 online resource (308 p.) 225 0 $aBibliotheca scriptorum Graecorum et Romanorum Teubneriana 225 0 $aScripta minora ;$vv. 2 300 $aText in Greek; introductory matter in Latin. 311 0 $a3-598-71981-7 320 $aIncludes bibliographical references and indexes. 327 $tFront matter --$tArethae scripta minora --$t57. ????????? ?????? ?? ??????? ??????? ??? ?? ?????????? ???????? ??? ????????? ??????????· ?????????? ?? ?? ??????????????? --$t58. ??????????? ??? ???? ??????? ????????? ???????, ? ???? ? ??????????? ???????? ?? ?????? ?????????? --$t59. ???????? ?????? ????? ?? ???? ? ??????? ???????? ??? ???? ??????? ????????? ????????? ??????? ??? ??????? ?????, ??? ?????? ???? ?? ?????? ?????????? --$t60. ???????? ??????? ???????? ??? ?? ??? ????????? ????? ???????????1 --$t61. ????????? ???????????? ??? ???????? ??????? ??? ???????? ???????? --$t62. ????????? ???????????? ??? ???????? ??????? ???????? --$t63. ????????? ???????????? ?? ????? ??? ????? ?????, ?? ???? ????·?????????? --$t64. ????????? ???????????? ??? ???????? ??????? ???????? ?? ????????? ??? ???????????? ????????? ???????? ?????????? --$t65. ????????? ???????????? ?? ????? ????? ??? ????????, ??????? ????????? ???? ???? ?????? ????????· ???????? ????? ? ????? ??? ???? ????? ?????????? ??????, ????? ?? ??? --$t66. ??????? ????????? ??? ???????? ??, ???? ?? ???????? ??? ????????????? ??????? ??????? ??????? ??? ??? ???????? ?? ??? ????? ???????? ??? ??? ??????????? --$t67. ?????? ??????? ??????????? ??? ??? ??? ???????? ????? ????? ????????????? ??? ??? ????????? ?????????? ??????? --$t68. ?? ???? ???? ??? ????? --$t69. ?? ???? ???? ??? ????? --$t70. ??????? ????????? ???????? ??? ????????? ???? ????? --$t71. ?????? ??????? ???? ??? ???? ?????????? ??? ?????????? ???????? ????????????? ??????? --$t72. ?????? ??????? ?????? ?????????? --$t73. ?? ???? ???? ???????? ???????? ??????????? ?????? --$t74. ????? ????????????? ?????????? ??????????? ?????, ???? ??? ??????? ?? ?????????? ????????? --$t75. ???????? ?????????? ?? ???? ????? ??? ???? ???? ????????? ??? ??? ??????????? --$t76. ????? ????????????? ?????????? ??????????? ??????? ??? ??? ????????? ?????????? --$t77. ??? ????? ???? ???? ???????? ????????????? ??? ??????????, ????????????? ??????????? --$t78. ??? ????? ???? ??? ??????? --$t79. ????? ????????, ????????? ?? ??? ????????????? ?????????? ???????????, ??? ?? ???? ?????? --$t80. ??? ????? ??? ??? ????? --$t81. ??? ????? ??? ????????? ??????? --$t82. Item de eodem per eundem Aretham archiepiscopum, eodem quo supra interprete --$tAppendix I: Protothroni cuiusdam epistula ad Constantinum Porphyrogennetum --$t83. ???????? ??? ??????????? ???? ??? ??????????????? ???????????? ??? ??????? ??? ?? ????? ??? ?????? ??? ????????? ??????????? ????????? --$tAppendix II: Nicetae Paphlagonis epistulae --$t84. ??? ????? --$t85. ??????? ??????????? --$t86. ????? ???????? ??? ???? --$t87. ????? ?????????? --$t88. ???????? ?????? ????????? ??? ?????????? --$t89. ?????? ????????? ???? ??? ?????????? ???????? ??????? ???????? ???? ??? ????? ??? ??????? --$tIndex auctorum --$tIndex proverbiorum --$tIndex nominum --$tIndex verborum --$tIndex grammaticus --$tAddenda et corrigenda ad vol. 1 330 $aScripta Minora, Vol. II: Scripta minora 57-89, indices (Bibliotheca scriptorum Graecorum et Romanorum Teubneriana). 410 0$aBibliotheca scriptorum Graecorum et Romanorum Teubneriana 606 $aTheology$vEarly works to 1800 608 $aElectronic books. 615 0$aTheology 676 $a281.9 700 $aArethas$cArchbishop of Caesarea (Cappadocia),$fca. 860-ca. 940.$0162991 702 $aWesterink$b Leendert G. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462253503321 996 $aAccedunt$91906305 997 $aUNINA LEADER 05100nam 2200673 450 001 9910797756303321 005 20220307121427.0 010 $a0-08-100111-8 010 $a0-08-100091-X 035 $a(CKB)3710000000511932 035 $a(EBL)4095868 035 $a(SSID)ssj0001587209 035 $a(PQKBManifestationID)16270517 035 $a(PQKBTitleCode)TC0001587209 035 $a(PQKBWorkID)14869463 035 $a(PQKB)11533474 035 $a(Au-PeEL)EBL4095868 035 $a(CaPaEBR)ebr11121102 035 $a(CaONFJC)MIL869839 035 $a(OCoLC)935247377 035 $a(MiAaPQ)EBC4095868 035 $a(EXLCZ)993710000000511932 100 $a20150528h20162016 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEstimation of rare event probabilities in complex aerospace and other systems $ea practical approach /$fJe?ro?me Morio and Mathieu Balesdent 205 $aFirst edition. 210 1$aWaltham, MA :$cElsevier,$d[2016] 210 4$d©2016 215 $a1 online resource (217 p.) 225 1 $aWoodhead Publishing in mechanical engineering ;$vnumber 720 300 $aDescription based upon print version of record. 327 $aFront Cover; Estimation of Rare Event Probabilities in Complex Aerospace and Other Systems: A Practical Approach; Copyright; Dedication; Contents; Preface; Foreword; Biography of the external contributors to this book; Abbreviations; Chapter 1: Introduction to rare event probability estimation; 1.1 The book purposes; 1.2 What are the events of interest considered in this book?; 1.3 The book organization; References; Part One: Essential Background in Mathematics and System Analysis; Chapter 2: Basics of probability and statistics; 2.1 Probability theory operators; 2.1.1 Elements of vocabulary 327 $a2.1.2 Notion of dependence of random events andconditional probabilities 2.1.3 Continuous random variables; 2.1.3.1 Definitions; 2.1.3.2 Parameters of continuous random variables; 2.1.4 Continuous multivariate random variables; 2.1.4.1 Definitions and theorems; 2.1.4.2 Dependence of multivariate random variables ; 2.1.5 Point estimation ; 2.2 Random variable modeling; 2.2.1 Overview of common probability distributions; 2.2.1.1 Univariate distributions; Uniform distribution; Exponential distribution; Gaussian distribution; Truncated Gaussian distribution; Log-normal distribution 327 $aCauchy distributionChi-squared distribution; Gamma and beta distributions; Laplace distribution; Some properties of univariate distributions; 2.2.1.2 Multivariate distributions; Multivariate normal distribution; 2.2.2 Kernel-based laws; 2.3 Convergence theorems and sampling algorithms; 2.3.1 Strong law of large numbers ; 2.3.2 Central limit theorem ; 2.3.3 Simulation of complex laws using the Metropolis-Hastings algorithm; 2.3.3.1 Markov chain; 2.3.3.2 Some properties of transition kernels; 2.3.3.3 The Metropolis-Hastings algorithm ; 2.3.3.4 Transformation of random variables; References 327 $aChapter 3: The formalism of rare event probability estimation in complex systems3.1 Input-output system; 3.1.1 Description; 3.1.2 Formalism; 3.2 Time-variant system; 3.2.1 Description; 3.2.2 Formalism; 3.3 Characterization of a probability estimation; References; Part Two: Practical Overview of the Main Rare Event EstimationTechniques; Chapter 4: Introduction; 4.1 Categories of estimation methods; 4.2 General notations; 4.3 Description of the toy cases; 4.3.1 Identity function; 4.3.2 Polynomial square root function; 4.3.3 Four-branch system; 4.3.4 Polynomial product function; References 327 $aChapter 5: Simulation techniques5.1 Crude Monte Carlo; 5.1.1 Principle; 5.1.2 Application on a toy case; Four-branch system; 5.1.3 Conclusion; 5.2 Simple variance reduction techniques; 5.2.1 Quasi-Monte Carlo; 5.2.2 Conditional Monte Carlo; 5.2.2.1 Principle; 5.2.2.2 Conclusion; 5.2.3 Control variates; 5.2.3.1 Principle; 5.2.3.2 Application on a toy case; Four-branch system; 5.2.3.3 Conclusion; 5.2.4 Antithetic variates; 5.2.4.1 Principle; 5.2.4.2 Application to a toy case; Identity function; 5.2.4.3 Conclusion; 5.3 Importance sampling; 5.3.1 Principle of importance sampling 327 $a5.3.2 Nonadaptive importance sampling 410 0$aWoodhead Publishing in mechanical engineering ;$vno. 720. 606 $aProbabilities 606 $aIndustrial engineering$xStatistical methods 606 $aProbabilitats$2lemac 606 $aEnginyeria industrial$xMètodes estadístics$2lemac 615 0$aProbabilities. 615 0$aIndustrial engineering$xStatistical methods. 615 7$aProbabilitats 615 7$aEnginyeria industrial$xMètodes estadístics. 700 $aMorio$b Je?ro?me$0915889 702 $aBalesdent$b Mathieu 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910797756303321 996 $aEstimation of rare event probabilities in complex aerospace and other systems$93852093 997 $aUNINA