Edit Profile (opens in new tab) Breitung, Karl W. Compute Distance To: Compute Author ID: breitung.karl-w Published as: Breitung, Karl; Breitung, K.; Breitung, Karl W. more...less Documents Indexed: 14 Publications since 1984, including 1 Book Co-Authors: 4 Co-Authors with 4 Joint Publications 51 Co-Co-Authors Co-Authors 10 single-authored 2 Faravelli, Lucia 1 Casciati, Fabio 1 Hohenbichler, M. 1 Richter, Wolf-Dieter Serials 2 Journal of Multivariate Analysis 1 Stochastic Processes and their Applications 1 Lecture Notes in Mathematics 1 Methods of Operations Research all top 5 Fields 12 Probability theory and stochastic processes (60-XX) 5 Approximations and expansions (41-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Special functions (33-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 10 Publications have been cited 94 times in 82 Documents Cited by ▼ Year ▼ Asymptotic approximations for multinormal domain and surface integrals. Zbl 0571.73100Breitung, K. 35 1984 Asymptotic approximations for probability integrals. Zbl 0814.60020Breitung, Karl W. 26 1994 Asymptotic approximations for multivariate integrals with an application to multinormal probabilities. Zbl 0683.33003Breitung, K.; Hohenbichler, M. 12 1989 A geometric approach to an asymptotic expansion for large deviation probabilities of Gaussian random vectors. Zbl 0864.41026Breitung, K.; Richter, W.-D. 5 1996 Asymptotic crossing rates for stationary Gaussian vector processes. Zbl 0648.60044Breitung, Karl 5 1988 Types of asymptotic approximations for normal probability integrals. Zbl 0823.60022Breitung, K. 3 1995 Response surface methods and asymptotic approximations. Zbl 0871.60064Breitung, K.; Faravelli, L. 3 1996 Optimization methods in structural reliability. Zbl 0911.90346Breitung, K.; Casciati, F.; Faravelli, L. 3 1998 Parameter sensitivity of failure probabilities. Zbl 0815.60083Breitung, Karl 1 1991 Higher order approximations for maxima of random fields. Zbl 0890.60041Breitung, Karl 1 1996 Optimization methods in structural reliability. Zbl 0911.90346Breitung, K.; Casciati, F.; Faravelli, L. 3 1998 A geometric approach to an asymptotic expansion for large deviation probabilities of Gaussian random vectors. Zbl 0864.41026Breitung, K.; Richter, W.-D. 5 1996 Response surface methods and asymptotic approximations. Zbl 0871.60064Breitung, K.; Faravelli, L. 3 1996 Higher order approximations for maxima of random fields. Zbl 0890.60041Breitung, Karl 1 1996 Types of asymptotic approximations for normal probability integrals. Zbl 0823.60022Breitung, K. 3 1995 Asymptotic approximations for probability integrals. Zbl 0814.60020Breitung, Karl W. 26 1994 Parameter sensitivity of failure probabilities. Zbl 0815.60083Breitung, Karl 1 1991 Asymptotic approximations for multivariate integrals with an application to multinormal probabilities. Zbl 0683.33003Breitung, K.; Hohenbichler, M. 12 1989 Asymptotic crossing rates for stationary Gaussian vector processes. Zbl 0648.60044Breitung, Karl 5 1988 Asymptotic approximations for multinormal domain and surface integrals. Zbl 0571.73100Breitung, K. 35 1984 all cited Publications top 5 cited Publications all top 5 Cited by 147 Authors 4 Albeverio, Sergio A. 4 Lee, Ikjin 4 Rao, Boggarapu Nageswara 4 Richter, Wolf-Dieter 3 Chowdhury, Rajib 3 Hashorva, Enkelejd 3 Meng, Zeng 3 Rackwitz, Rüdiger 3 Zhou, Huanlin 2 Breitung, Karl W. 2 Cordoni, Francesco Giuseppe 2 Di Persio, Luca 2 Du, Xiaoping 2 Gorsich, David J. 2 Hu, Hao 2 Hua, Lei 2 Kaufmann, Tom 2 Korshunov, Dmitry Alekseevich 2 Kuschel, Norbert 2 Lee, Byungchai 2 Lim, Jongmin 2 Marti, Kurt 2 Paffrath, Meinhard 2 Piterbarg, Vladimir Il’ich 2 Rashki, Mohsen 2 Schumacher, Jens 2 Wever, Utz 1 Abdelrahman, Wael G. 1 Adler, Robert Joseph 1 Alarcón, Enrique 1 Ameryan, Ala 1 Ashokkumar, Rajesh 1 Augustin, Florian 1 Batou, Anas 1 Bayer, Christian 1 Benaissa, Abdallah 1 Bernard, Pierre 1 Betz, Wolfgang 1 Bhattacharya, Baidurya 1 Bi, Rengui 1 Borri, Antonio 1 Castillo, Enrique F. 1 Chateauneuf, Alaa 1 Choi, Chan Kyu 1 Cleri, Fabrizio 1 Desrosiers, Patrick 1 Du, Liu 1 Faggionato, Alessandra 1 Fan, Weichao 1 Fang, Xiurong 1 Fatalov, Vadim Rolandovich 1 Fogli, Michel 1 Frolovitchev, Serguei M. 1 Gabrielli, Davide 1 Galtier, Thomas 1 Gao, Liang 1 Gao, Qiang 1 Garavelas, Anargyri Th. 1 Ghalehnovi, Mansour 1 Gilg, Albert 1 Giordano, Stefano 1 Gnedin, Alexander V. 1 Gómez Lera, M. Sagrario 1 Gómez, Patricia 1 Gong, Jinxin 1 Gosling, P. D. 1 Grandhi, Ramana V. 1 Han, Xu 1 Hao, Peng 1 Hohenbichler, M. 1 Hu, Chao 1 Hu, Zhangli 1 Hüsler, Jürg 1 Ikhouane, Fayçal 1 Ismail, Mohammed 1 Ittrich, Carina 1 Jia, Da-Wei 1 Jiang, Chen 1 Joe, Harry 1 Kamouche, Nesrine 1 Kataria, Kuldeep Kumar 1 Keshtegar, Behrooz 1 Khandakar, Mostafizar 1 Lagaros, Nikos D. 1 Łapiński, Tomasz M. 1 Laso, Enrique 1 Laurence, Peter 1 Leonel, Edson Denner 1 Li, Gang 1 Lindgren, Georg 1 Liu, Dangzheng 1 Liu, Peng 1 Lu, Qiang 1 Manca, Fabio 1 Mazzucchi, Sonia 1 Morse, Llewellyn 1 Palla, Pier Luca 1 Papadrakakis, Manolis 1 Papaioannou, Iason 1 Pellegrini, Gregorio ...and 47 more Authors all top 5 Cited in 46 Serials 9 Applied Mathematical Modelling 7 Computer Methods in Applied Mechanics and Engineering 4 International Journal for Numerical Methods in Engineering 3 Acta Mechanica 3 Journal of Multivariate Analysis 3 Stochastic Processes and their Applications 3 Structural and Multidisciplinary Optimization 2 Journal of Computational Physics 2 Lithuanian Mathematical Journal 2 Mathematical Notes 2 Statistics & Probability Letters 2 Engineering Analysis with Boundary Elements 2 Extremes 2 Sādhanā 2 International Journal of Computational Methods 2 Engineering Optimization 1 Artificial Intelligence 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Physica A 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Statistics 1 Optimization 1 Constructive Approximation 1 Computational Mechanics 1 Journal of Theoretical Probability 1 European Journal of Applied Mathematics 1 The Annals of Applied Probability 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Communications in Numerical Methods in Engineering 1 Multibody System Dynamics 1 Mathematical Methods of Operations Research 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Mechanism and Machine Theory 1 Archives of Computational Methods in Engineering 1 Decisions in Economics and Finance 1 Stochastic Models 1 Modern Stochastics. Theory and Applications all top 5 Cited in 21 Fields 32 Mechanics of deformable solids (74-XX) 29 Probability theory and stochastic processes (60-XX) 23 Statistics (62-XX) 23 Operations research, mathematical programming (90-XX) 13 Numerical analysis (65-XX) 6 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year