"Efficient and Portable Combined Random Number Generators", Pierre L'Ecuyer, Communications of the ACM, Vol. 31, No. 6, June 1988, pp. 742-749, 774
"Efficient and Portable Combined Random Number Generators", Pierre L'Ecuyer, Communications of the ACM, Vol. 31, No. 6, June 1988, pp. 742-749, 774
"Efficient and Portable Combined Random Number Generators", Pierre L'Ecuyer, Communications of the ACM, Vol. 31, No. 6, June 1988, pp. 742-749, 774
"The generation of binomial random variates", Wolfgang Hormann, Journal of Statistical Computation and Simulation, Volume 46, Issue 1 & 2 April 1993 , pages 101 - 110
"The generation of binomial random variates", Wolfgang Hormann, Journal of Statistical Computation and Simulation, Volume 46, Issue 1 & 2 April 1993 , pages 101 - 110
"The Ziggurat Method for Generating Random Variables", George Marsaglia and Wai Wan Tsang, Journal of Statistical Software Volume 5, Number 8 (2000), 1-7.
"The Ziggurat Method for Generating Random Variables", George Marsaglia and Wai Wan Tsang, Journal of Statistical Software Volume 5, Number 8 (2000), 1-7.
Henri Faure, Discrepance de suites associees a un systeme de numeration (en dimension s), Acta Arithmetica, Volume 41, 1982, pages 337-351.
Bennett Fox, Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators, ACM Transactions on Mathematical Software, Volume 12, Number 4, December 1986, pages 362-376.
"Random variate generation for the generalized inverse Gaussian distribution", Luc Devroye, Statistics and Computing, Volume 24, 2014, Pages 236 - 246
"Random variate generation for the generalized inverse Gaussian distribution", Luc Devroye, Statistics and Computing, Volume 24, 2014, Pages 236 - 246
"Inversive pseudorandom number generators: concepts, results and links", Peter Hellekalek, In: "Proceedings of the 1995 Winter Simulation Conference", C. Alexopoulos, K. Kang, W.R. Lilegdon, and D. Goldsman (editors), 1995, pp. 255-262. ftp://random.mat.sbg.ac.at/pub/data/wsc95.ps
"Inversive pseudorandom number generators: concepts, results and links", Peter Hellekalek, In: "Proceedings of the 1995 Winter Simulation Conference", C. Alexopoulos, K. Kang, W.R. Lilegdon, and D. Goldsman (editors), 1995, pp. 255-262. ftp://random.mat.sbg.ac.at/pub/data/wsc95.ps
"Inversive pseudorandom number generators: concepts, results and links", Peter Hellekalek, In: "Proceedings of the 1995 Winter Simulation Conference", C. Alexopoulos, K. Kang, W.R. Lilegdon, and D. Goldsman (editors), 1995, pp. 255-262. ftp://random.mat.sbg.ac.at/pub/data/wsc95.ps
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"On the Periods of Generalized Fibonacci Recurrences", Richard P. Brent Computer Sciences Laboratory Australian National University, December 1992
"Uniform random number generators for supercomputers", Richard Brent, Proc. of Fifth Australian Supercomputer Conference, Melbourne, Dec. 1992, pp. 704-706.
"Mathematical methods in large-scale computing units", D. H. Lehmer, Proc. 2nd Symposium on Large-Scale Digital Calculating Machines, Harvard University Press, 1951, pp. 141-146
A pseudo-random number generator for the System/360, P.A. Lewis, A.S. Goodman, J.M. Miller, IBM Systems Journal, Vol. 8, No. 2, 1969, pp. 136-146
"Random Number Generators: Good ones are hard to find", Stephen K. Park and Keith W. Miller, Communications of the ACM, Vol. 31, No. 10, October 1988, pp. 1192-1201
"Random Number Generators: Good ones are hard to find", Stephen K. Park and Keith W. Miller, Communications of the ACM, Vol. 31, No. 10, October 1988, pp. 1192-1201
A pseudo-random number generator for the System/360, P.A. Lewis, A.S. Goodman, J.M. Miller, IBM Systems Journal, Vol. 8, No. 2, 1969, pp. 136-146
"Random Number Generators: Good ones are hard to find", Stephen K. Park and Keith W. Miller, Communications of the ACM, Vol. 31, No. 10, October 1988, pp. 1192-1201
"Random Number Generators: Good ones are hard to find", Stephen K. Park and Keith W. Miller, Communications of the ACM, Vol. 31, No. 10, October 1988, pp. 1192-1201
"Random numbers generated by linear recurrence modulo two.", Tausworthe, R. C.(1965), Mathematics of Computation 19, 201-209.
"Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator", Makoto Matsumoto and Takuji Nishimura, ACM Transactions on Modeling and Computer Simulation: Special Issue on Uniform Random Number Generation, Vol. 8, No. 1, January 1998, pp. 3-30.
"Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator", Makoto Matsumoto and Takuji Nishimura, ACM Transactions on Modeling and Computer Simulation: Special Issue on Uniform Random Number Generation, Vol. 8, No. 1, January 1998, pp. 3-30.
"Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator", Makoto Matsumoto and Takuji Nishimura, ACM Transactions on Modeling and Computer Simulation: Special Issue on Uniform Random Number Generation, Vol. 8, No. 1, January 1998, pp. 3-30.
"Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator", Makoto Matsumoto and Takuji Nishimura, ACM Transactions on Modeling and Computer Simulation: Special Issue on Uniform Random Number Generation, Vol. 8, No. 1, January 1998, pp. 3-30.
"Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator", Makoto Matsumoto and Takuji Nishimura, ACM Transactions on Modeling and Computer Simulation: Special Issue on Uniform Random Number Generation, Vol. 8, No. 1, January 1998, pp. 3-30.
G.K.Savvidy and N.G.Ter-Arutyunian, On the Monte Carlo simulation of physical systems, J.Comput.Phys. 97, 566 (1991); Preprint EPI-865-16-86, Yerevan, Jan. 1986 http://dx.doi.org/10.1016/0021-9991(91)90015-D K.Savvidy The MIXMAX random number generator Comp. Phys. Commun. 196 (2015), pp 161–165 http://dx.doi.org/10.1016/j.cpc.2015.06.003 K.Savvidy and G.Savvidy Spectrum and Entropy of C-systems. MIXMAX random number generator Chaos, Solitons & Fractals, Volume 91, (2016) pp. 33–38 http://dx.doi.org/10.1016/j.chaos.2016.05.003
Bratley, Fox, Niederreiter, ACM Trans. Model. Comp. Sim. 2, 195 (1992).
"Monte Carlo Methods in Financial Engineering", Paul Glasserman, 2003, XIII, 596 p, Stochastic Modelling and Applied Probability, Vol. 53, ISBN 978-0-387-21617-1, p 124, Fig. 3.5.
"The Ziggurat Method for Generating Random Variables", George Marsaglia and Wai Wan Tsang, Journal of Statistical Software, Volume 5, Number 8 (2000), 1-7.
"The Ziggurat Method for Generating Random Variables", George Marsaglia and Wai Wan Tsang, Journal of Statistical Software, Volume 5, Number 8 (2000), 1-7.
"The transformed rejection method for generating Poisson random variables", Wolfgang Hormann, Insurance: Mathematics and Economics Volume 12, Issue 1, February 1993, Pages 39-45
"The transformed rejection method for generating Poisson random variables", Wolfgang Hormann, Insurance: Mathematics and Economics Volume 12, Issue 1, February 1993, Pages 39-45
"Randomness Recommendations for Security", D. Eastlake, S. Crocker, J. Schiller, Network Working Group, RFC 1750, December 1994
"Randomness Recommendations for Security", D. Eastlake, S. Crocker, J. Schiller, Network Working Group, RFC 1750, December 1994
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"A portable high-quality random number generator for lattice field theory calculations", M. Luescher, Computer Physics Communications, 79 (1994) pp 100-110.
"RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Luescher", F. James, Computer Physics Communications 79 (1994) 111-114
"Improving a poor random number generator", Carter Bays and S.D. Durham, ACM Transactions on Mathematical Software, Vol 2, No. 1, March 1976, pp. 59-64. http://doi.acm.org/10.1145/355666.355670
"System Simulation: Programming Styles and Languages (International Computer Science Series)", Wolfgang Kreutzer, Addison-Wesley, December 1986.
"The Art of Computer Programming, Second Edition, Volume 2, Seminumerical Algorithms", Donald Knuth, Addison-Wesley, 1981.
"System Simulation: Programming Styles and Languages (International Computer Science Series)", Wolfgang Kreutzer, Addison-Wesley, December 1986.
[Bratley+Fox, TOMS 14, 88 (1988)] and [Antonov+Saleev, USSR Comput. Maths. Math. Phys. 19, 252 (1980)]
S. Joe and F. Y. Kuo, Constructing Sobol sequences with better two-dimensional projections, SIAM J. Sci. Comput. 30, 2635-2654 (2008).
"A New Class of Random Number Generators", George Marsaglia and Arif Zaman, Annals of Applied Probability, Volume 1, Number 3 (1991), 462-480.
"A New Class of Random Number Generators", George Marsaglia and Arif Zaman, Annals of Applied Probability, Volume 1, Number 3 (1991), 462-480.
"Maximally Equidistributed Combined Tausworthe Generators", Pierre L'Ecuyer, Mathematics of Computation, Volume 65, Number 213, January 1996, Pages 203-213
"Maximally Equidistributed Combined Tausworthe Generators", Pierre L'Ecuyer, Mathematics of Computation, Volume 65, Number 213, January 1996, Pages 203-213