Academic literature on the topic 'Multivariate random variate generation'

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Journal articles on the topic "Multivariate random variate generation"

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Devroye, Luc. "Random variate generation for multivariate unimodal densities." ACM Transactions on Modeling and Computer Simulation 7, no. 4 (1997): 447–77. http://dx.doi.org/10.1145/268403.268413.

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Beliakov, Gleb. "Class library ranlip for multivariate nonuniform random variate generation." Computer Physics Communications 170, no. 1 (2005): 93–108. http://dx.doi.org/10.1016/j.cpc.2005.03.105.

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Matolak, D. W., I. Sen, and W. Xiong. "Generation of multivariate Weibull random variates." IET Communications 2, no. 4 (2008): 523. http://dx.doi.org/10.1049/iet-com:20070133.

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Baeumer, Boris, and Mihály Kovács. "Approximating Multivariate Tempered Stable Processes." Journal of Applied Probability 49, no. 01 (2012): 167–83. http://dx.doi.org/10.1017/s0021900200008925.

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We give a simple method to approximate multidimensional exponentially tempered stable processes and show that the approximating process converges in the Skorokhod topology to the tempered process. The approximation is based on the generation of a random angle and a random variable with a lower-dimensional Lévy measure. We then show that if an arbitrarily small normal random variable is added, the marginal densities converge uniformly at an almost linear rate, providing a critical tool to assess the performance of existing particle tracking codes.
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Baeumer, Boris, and Mihály Kovács. "Approximating Multivariate Tempered Stable Processes." Journal of Applied Probability 49, no. 1 (2012): 167–83. http://dx.doi.org/10.1239/jap/1331216840.

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We give a simple method to approximate multidimensional exponentially tempered stable processes and show that the approximating process converges in the Skorokhod topology to the tempered process. The approximation is based on the generation of a random angle and a random variable with a lower-dimensional Lévy measure. We then show that if an arbitrarily small normal random variable is added, the marginal densities converge uniformly at an almost linear rate, providing a critical tool to assess the performance of existing particle tracking codes.
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Biggins, J. D., and A. Rahimzadeh Sani. "Convergence results on multitype, multivariate branching random walks." Advances in Applied Probability 37, no. 03 (2005): 681–705. http://dx.doi.org/10.1017/s0001867800000422.

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We consider a multi-type branching random walk on d-dimensional Euclidian space. The~uniform convergence, as n goes to infinity, of a scaled version of the Laplace transform of the point process given by the nth generation particles of each type is obtained. Similar results in the one-type case, where the transform gives a martingale, were obtained in Biggins (1992) and Barral (2001). This uniform convergence of transforms is then used to obtain limit results for numbers in the underlying point processes. Supporting results, which are of interest in their own right, are obtained on (i) ‘Perron
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Biggins, J. D., and A. Rahimzadeh Sani. "Convergence results on multitype, multivariate branching random walks." Advances in Applied Probability 37, no. 3 (2005): 681–705. http://dx.doi.org/10.1239/aap/1127483742.

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We consider a multi-type branching random walk on d-dimensional Euclidian space. The~uniform convergence, as n goes to infinity, of a scaled version of the Laplace transform of the point process given by the nth generation particles of each type is obtained. Similar results in the one-type case, where the transform gives a martingale, were obtained in Biggins (1992) and Barral (2001). This uniform convergence of transforms is then used to obtain limit results for numbers in the underlying point processes. Supporting results, which are of interest in their own right, are obtained on (i) ‘Perron
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Kachitvichyanukul, Voratas, and Bruce W. Schmeiser. "Binomial random variate generation." Communications of the ACM 31, no. 2 (1988): 216–22. http://dx.doi.org/10.1145/42372.42381.

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Kemp, C. D., and Adrienne W. Kemp. "Poisson Random Variate Generation." Applied Statistics 40, no. 1 (1991): 143. http://dx.doi.org/10.2307/2347913.

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Morgan, B. J. T., and L. Devroye. "Non-Uniform Random Variate Generation." Biometrics 44, no. 3 (1988): 919. http://dx.doi.org/10.2307/2531615.

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Dissertations / Theses on the topic "Multivariate random variate generation"

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Karawatzki, Roman, Josef Leydold, and Klaus Pötzelberger. "Automatic Markov Chain Monte Carlo Procedures for Sampling from Multivariate Distributions." Department of Statistics and Mathematics, WU Vienna University of Economics and Business, 2005. http://epub.wu.ac.at/1400/1/document.pdf.

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Generating samples from multivariate distributions efficiently is an important task in Monte Carlo integration and many other stochastic simulation problems. Markov chain Monte Carlo has been shown to be very efficient compared to "conventional methods", especially when many dimensions are involved. In this article we propose a Hit-and-Run sampler in combination with the Ratio-of-Uniforms method. We show that it is well suited for an algorithm to generate points from quite arbitrary distributions, which include all log-concave distributions. The algorithm works automatically in the sense that
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Karawatzki, Roman, and Josef Leydold. "Automatic Markov Chain Monte Carlo Procedures for Sampling from Multivariate Distributions." Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business, 2005. http://epub.wu.ac.at/294/1/document.pdf.

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Generating samples from multivariate distributions efficiently is an important task in Monte Carlo integration and many other stochastic simulation problems. Markov chain Monte Carlo has been shown to be very efficient compared to "conventional methods", especially when many dimensions are involved. In this article we propose a Hit-and-Run sampler in combination with the Ratio-of-Uniforms method. We show that it is well suited for an algorithm to generate points from quite arbitrary distributions, which include all log-concave distributions. The algorithm works automatically in the sense that
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Sabah, Mohammad. "Random Variate Generation Web Service." Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/35001.

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Simulation and statistical applications often mimic the behavior of a random phenomenon by way of generating random observations that form a known or empirical probability distribution with estimated parameter values. Generation of such random observations is called Random Variate Generation (RVG). The number of simulation and statistical applications provided on the World Wide Web (Web) is on the rise. To facilitate the development of simulation and statistical applications on the Web by way of reuse, there is a need for providing RVG as a Web service. This research involves the development o
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Hörmann, Wolfgang, Josef Leydold, and Gerhard Derflinger. "Automatic Random Variate Generation for Unbounded Densities." Department of Statistics and Mathematics, WU Vienna University of Economics and Business, 2006. http://epub.wu.ac.at/848/1/document.pdf.

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A new automatic algorithm for sampling from monotone, unbounded densities is presented. The user has to provide a program to evaluate the density and its derivative and the location of the pole. Then the setup of the new algorithm constructs different hat functions for the pole region and for the tail region, respectively. For the pole region a new method is developed that uses a transformed density rejection hat function of the inverse density. As the order of the pole is calculated in the setup, conditions that guarantee the correctness of the constructed hat functions are provided. Numerica
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Tirler, Günter, and Josef Leydold. "Automatic Nonuniform Random Variate Generation in R." Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business, 2003. http://epub.wu.ac.at/382/1/document.pdf.

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Random variate genration is an important tool in statistical computing. Many programms for simulation or statistical computing (e.g. R) provide a collection of random variate generators for many standard distributions. However, as statistical modeling has become more sophisticated there is demand for larger classes of distributions. Adding generators for newly required distribution seems not to be the solution to this problem. Instead so called automatic (or black-box) methods have been developed in the last decade for sampling from fairly large classes of distributions with a single piece of
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Hörmann, Wolfgang, and Josef Leydold. "Automatic Random Variate Generation for Simulation Input." Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business, 2000. http://epub.wu.ac.at/534/1/document.pdf.

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We develop and evaluate algorithms for generating random variates for simulation input. One group called automatic, or black-box algorithms can be used to sample from distributions with known density. They are based on the rejection principle. The hat function is generated automatically in a setup step using the idea of transformed density rejection. There the density is transformed into a concave function and the minimum of several tangents is used to construct the hat function. The resulting algorithms are not too complicated and are quite fast. The principle is also applicable to random vec
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Hörmann, Wolfgang, and Josef Leydold. "Continuous Random Variate Generation by Fast Numerical Inversion." Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business, 2002. http://epub.wu.ac.at/664/1/document.pdf.

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The inversion method for generating non-uniform random variates has some advantages compared to other generation methods, since it monotonically transforms uniform random numbers into non-uniform random variates. Hence it is the method of choice in the simulation literature. However, except for some simple cases where the inverse of the cumulative distribution function is a simple function we need numerical methods. Often inversion by ``brute force" is used, applying either very slow iterative methods or linear interpolation of the CDF and huge tables. But then the user has to accept unnecessa
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Leydold, Josef, Gerhard Derflinger, Günter Tirler, and Wolfgang Hörmann. "An Automatic Code Generator for Nonuniform Random Variate Generation." Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business, 2001. http://epub.wu.ac.at/364/1/document.pdf.

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There exists a vast literature on nonuniform random variate generators. Most of these generators are especially designed for a particular distribution. However in pratice only a few of these are available to practioners. Moreover for problems as (e.g.) sampling from the truncated normal distribution or sampling from fairly uncommon distributions there are often no algorithms available. In the last decade so called universal methods have been developed for these cases. The resulting algorithms are fast and have properties that make them attractive even for standard distributions. In this contri
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Young, David J. "The generation of correlated Rayleigh random variates by discrete Fourier transform and quality measures for random variate generation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq22432.pdf.

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Derflinger, Gerhard, Wolfgang Hörmann, and Josef Leydold. "Random Variate Generation by Numerical Inversion when only the Density Is Known." Department of Statistics and Mathematics, WU Vienna University of Economics and Business, 2008. http://epub.wu.ac.at/1112/1/document.pdf.

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We present a numerical inversion method for generating random variates from continuous distributions when only the density function is given. The algorithm is based on polynomial interpolation of the inverse CDF and Gauss-Lobatto integration. The user can select the required precision which may be close to machine precision for smooth, bounded densities; the necessary tables have moderate size. Our computational experiments with the classical standard distributions (normal, beta, gamma, t-distributions) and with the noncentral chi-square, hyperbolic, generalized hyperbolic and stable distribut
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Books on the topic "Multivariate random variate generation"

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Non-uniform random variate generation. Springer-Verlag, 1986.

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Devroye, Luc. Non-uniform random variate generation. Springer-Verlag, 1986.

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Hörmann, Wolfgang, Josef Leydold, and Gerhard Derflinger. Automatic Nonuniform Random Variate Generation. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05946-3.

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Devroye, Luc. Non-Uniform Random Variate Generation. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8643-8.

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Principles of random variate generation. Clarendon Press, 1988.

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K, Nagar D., ed. Matrix variate distributions. Chapman & Hall, 2000.

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Devroye, Luc. Non-Uniform Random Variate Generation. Springer, 2013.

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Boudreau, Joseph F., and Eric S. Swanson. Monte Carlo methods. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0007.

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Monte Carlo methods are those designed to obtain numerical answers with the use of random numbers . This chapter discusses random engines, which provide a pseudo-random pattern of bits, and their use in for sampling a variety of nonuniform distributions, for both continuous and discrete variables. A wide selection of uniform and nonuniform variate generators from the C++ standard library are reviewed, and common techniques for generating custom nonuniform variates are discussed. The chapter presents the uses of Monte Carlo to evaluate integrals, particularly multidimensional integrals, and the
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Hörmann, Wolfgang, Josef Leydold, and Gerhard Derflinger. Automatic Nonuniform Random Variate Generation. Springer, 2011.

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Automatic Nonuniform Random Variate Generation (Statistics and Computing). Springer, 2004.

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Book chapters on the topic "Multivariate random variate generation"

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Hörmann, Wolfgang, Josef Leydold, and Gerhard Derflinger. "Multivariate Distributions." In Automatic Nonuniform Random Variate Generation. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05946-3_11.

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Devroye, Luc. "Multivariate Distributions." In Non-Uniform Random Variate Generation. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8643-8_11.

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Thomopoulos, Nick T. "Generating Multivariate Random Variates." In Essentials of Monte Carlo Simulation. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-6022-0_6.

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Devroye, Luc. "Random Sampling." In Non-Uniform Random Variate Generation. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8643-8_12.

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Tempo, Roberto, Giuseppe Calafiore, and Fabrizio Dabbene. "Random Number and Variate Generation." In Randomized Algorithms for Analysis and Control of Uncertain Systems. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4610-0_14.

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Devroye, Luc. "Random Combinatorial Objects." In Non-Uniform Random Variate Generation. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8643-8_13.

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Devroye, Luc. "Discrete Random Variates." In Non-Uniform Random Variate Generation. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8643-8_3.

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Devroye, Luc. "The Random Bit Model." In Non-Uniform Random Variate Generation. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8643-8_15.

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Hörmann, Wolfgang, Josef Leydold, and Gerhard Derflinger. "Combination of Generation and Modeling." In Automatic Nonuniform Random Variate Generation. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05946-3_12.

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Hörmann, Wolfgang, Josef Leydold, and Gerhard Derflinger. "General Principles in Random Variate Generation." In Automatic Nonuniform Random Variate Generation. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-05946-3_2.

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Conference papers on the topic "Multivariate random variate generation"

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Kuhl, Michael E. "History of random variate generation." In 2017 Winter Simulation Conference (WSC). IEEE, 2017. http://dx.doi.org/10.1109/wsc.2017.8247791.

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Devroye, Luc. "Sample-based non-uniform random variate generation." In the 18th conference. ACM Press, 1986. http://dx.doi.org/10.1145/318242.318443.

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Cheng, Russell C. H. "Selecting input models and random variate generation." In the 25th conference. ACM Press, 1993. http://dx.doi.org/10.1145/256563.256577.

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Cheng, Russell C. H. "Distribution fitting and random number and variate generation." In the 24th conference. ACM Press, 1992. http://dx.doi.org/10.1145/167293.167304.

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Devroye, Luc. "Random variate generation in one line of code." In the 28th conference. ACM Press, 1996. http://dx.doi.org/10.1145/256562.256623.

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Thomas, David B., and Wayne Luk. "An FPGA-specific algorithm for direct generation of multi-variate Gaussian random numbers." In 2010 21st IEEE International Conference on Application-specific Systems, Architectures and Processors (ASAP). IEEE, 2010. http://dx.doi.org/10.1109/asap.2010.5541005.

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Li, Yuan, and Minxuan Zhang. "A FPGA Based Parallel Multivariate Gaussian Random Number Generation Framework." In 2019 IEEE International Conference on Artificial Intelligence and Computer Applications (ICAICA). IEEE, 2019. http://dx.doi.org/10.1109/icaica.2019.8873482.

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Knox, Michael A. "Multivariable Monte Carlo Analysis Methods in Traffic Accident Reconstruction Using Python." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-62242.

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The analysis involved in reconstructing a traffic crash often deals with multiple, codependent, stochastic variables such as departure angle measurements, coefficient of friction measurements, vehicle stiffness coefficients, and acceleration rates. The resulting analysis should appropriately lead to a range of possible vehicle speeds rather than a single speed output value. All too often, this speed range is reported as a continuous uniform distribution in which lower- and upper-bound values are just as probable as any value in between. In reality, vehicle speed ranges are more complex than ca
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Kotecha, J. H., and P. M. Djuric. "Gibbs sampling approach for generation of truncated multivariate Gaussian random variables." In 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258). IEEE, 1999. http://dx.doi.org/10.1109/icassp.1999.756335.

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Thomas, David B., and Wayne Luk. "Using FPGA resources for direct generation of multivariate Gaussian random numbers." In 2009 International Conference on Field-Programmable Technology (FPT). IEEE, 2009. http://dx.doi.org/10.1109/fpt.2009.5377680.

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