A novel adaptive importance sampling algorithm based on Markov chain and low-discrepancy sequence
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Zhenzhou Lu | Xiukai Yuan | Zhufeng Yue | Changcong Zhou | Zhenzhou Lu | Changcong Zhou | Xiukai Yuan | Z. Yue | Zhenzhou Lu | Z. Lu
[1] Wilson H. Tang,et al. Optimal Importance‐Sampling Density Estimator , 1992 .
[2] Dirk P. Kroese,et al. Simulation and the Monte Carlo method , 1981, Wiley series in probability and mathematical statistics.
[3] Siu-Kui Au,et al. Probabilistic Failure Analysis by Importance Sampling Markov Chain Simulation , 2004 .
[4] Wei Wang,et al. Application of low-discrepancy sampling method in structural reliability analysis , 2009 .
[5] Helmut J. Pradlwarter,et al. Realistic and efficient reliability estimation for aerospace structures , 2005 .
[6] Jinsuo Nie,et al. A new directional simulation method for system reliability. Part I: application of deterministic point sets , 2004 .
[7] U. Kerzel,et al. Fast integration using quasi-random numbers , 2006 .
[8] Dimos C. Charmpis,et al. Application of line sampling simulation method to reliability benchmark problems , 2007 .
[9] J. Beck,et al. A new adaptive importance sampling scheme for reliability calculations , 1999 .
[10] Costas Papadimitriou,et al. Reliability of uncertain dynamical systems with multiple design points , 1999 .
[11] Rudy Pastel,et al. Missile target accuracy estimation with importance splitting , 2013 .
[12] Nicolas Gayton,et al. A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models , 2013, Reliab. Eng. Syst. Saf..
[13] I. Sobol,et al. On quasi-Monte Carlo integrations , 1998 .
[14] J. Beck,et al. First excursion probabilities for linear systems by very efficient importance sampling , 2001 .
[15] C. Bucher. Adaptive sampling — an iterative fast Monte Carlo procedure , 1988 .
[16] J. Beck,et al. Estimation of Small Failure Probabilities in High Dimensions by Subset Simulation , 2001 .
[17] Jérôme Morio,et al. Non-parametric adaptive importance sampling for the probability estimation of a launcher impact position , 2011, Reliab. Eng. Syst. Saf..
[18] Dirk P. Kroese,et al. An Efficient Algorithm for Rare-event Probability Estimation, Combinatorial Optimization, and Counting , 2008 .
[19] Dirk P. Kroese,et al. Generalized Cross-entropy Methods with Applications to Rare-event Simulation and Optimization , 2007, Simul..
[20] A. Kiureghian,et al. Optimization algorithms for structural reliability , 1991 .
[21] N. Metropolis,et al. Equation of State Calculations by Fast Computing Machines , 1953, Resonance.
[22] Marco Caserta,et al. A cross entropy based algorithm for reliability problems , 2009, J. Heuristics.
[23] K. Fang,et al. Number-theoretic methods in statistics , 1993 .
[24] Fred J. Hickernell,et al. Randomized Halton sequences , 2000 .
[25] R. Melchers. Importance sampling in structural systems , 1989 .
[26] Siu-Kui Au,et al. Application of subset simulation methods to reliability benchmark problems , 2007 .
[27] Kalman Ziha,et al. Descriptive sampling in structural safety , 1995 .