History of uniform random number generation
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[1] Jean-François Cordeau,et al. Close-Point Spatial Tests and Their Application to Random Number Generators , 2000, Oper. Res..
[2] Makoto Matsumoto,et al. Twisted GFSR generators , 1992, TOMC.
[3] Brian D. Ripley,et al. Quick tests for spatial interaction , 1978 .
[4] J. Fu,et al. DISTRIBUTION THEORY OF RUNS AND PATTERNS ASSOCIATED WITH A SEQUENCE OF MULTI-STATE TRIALS , 1996 .
[5] Makoto Matsumoto,et al. Twisted GFSR generators II , 1994, TOMC.
[6] H. Zeisel,et al. A Remark on Algorithm as 183. An Efficient and Portable Pseudo‐Random Number Generator , 1986 .
[7] P. L'Ecuyer,et al. Fast combined multiple recursive generators with multipliers of the form a=/spl plusmn/2/sup q//spl plusmn/2/sup r/ , 2000, 2000 Winter Simulation Conference Proceedings (Cat. No.00CH37165).
[8] Pierre L'Ecuyer,et al. Random numbers for simulation , 1990, CACM.
[9] P. L'Ecuyer,et al. About polynomial-time “unpredictable” generators , 1989, WSC '89.
[10] J. Wishart. Statistical tables , 2018, Global Education Monitoring Report.
[11] P. L’Ecuyer,et al. Structural properties for two classes of combined random number generators , 1990 .
[12] H. Solomon,et al. On Combining Pseudorandom Number Generators , 1979 .
[13] Dennis K. J. Lin,et al. Random Number Generation for the New Century , 2000 .
[14] J. P. R. Tootill,et al. The Runs Up-and-Down Performance of Tausworthe Pseudo-Random Number Generators , 1971, JACM.
[15] Stefan Wegenkittl,et al. A survey of quadratic and inversive congruential pseudorandom numbers , 1998 .
[16] P. L’Ecuyer. Random Number Generation , 2012 .
[17] Pierre L'Ecuyer,et al. rstream: Streams of Random Numbers for Stochastic Simulation , 2005 .
[18] Wouter Peremans,et al. Reduced sequences of integers and pseudo-random numbers , 1953 .
[19] Pierre L'Ecuyer,et al. Orbits and lattices for linear random number generators with composite moduli , 1996, Math. Comput..
[20] W. E. Thomson. Ernie—A Mathematical and Statistical Analysis , 1959 .
[21] Simon Heron,et al. Encryption: Advanced Encryption Standard (AES) , 2009 .
[22] Markos V. Koutras,et al. Distribution Theory of Runs: A Markov Chain Approach , 1994 .
[23] U. Dieter,et al. How to calculate shortest vectors in a lattice , 1975 .
[24] Takuji Nishimura,et al. Tables of 64-bit Mersenne twisters , 2000, TOMC.
[25] S. Tezuka. Uniform Random Numbers: Theory and Practice , 1995 .
[26] R. K. Pathria,et al. A statistical study of randomness among the first 10,000 digits of , 1962 .
[27] Pierre L'Ecuyer,et al. Efficient Jump Ahead for 2-Linear Random Number Generators , 2006, INFORMS J. Comput..
[28] N. Metropolis,et al. Statistical treatment of values of first 2,000 decimal digits of and of calculated on the ENIAC , 1950 .
[29] Pierre L'Ecuyer. Efficient and portable 32-bit random variate generators , 1986, WSC '86.
[30] George Marsaglia,et al. One-line random number generators and their use in combinations , 1968, Commun. ACM.
[31] P. L’Ecuyer,et al. On the lattice structure of certain linear congruential sequences related to AWC/SWB generators , 1994 .
[32] Martin Greenberger,et al. Random number generators , 1959, ACM National Meeting.
[33] Takuji Nishimura,et al. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator , 1998, TOMC.
[34] W. O. Kermack,et al. XVII.—Tests for Randomness in a Series of Numerical Observations , 1938 .
[35] Ted G. Lewis,et al. Generalized Feedback Shift Register Pseudorandom Number Algorithm , 1973, JACM.
[36] Pierre L'Ecuyer,et al. Maximally equidistributed combined Tausworthe generators , 1996, Math. Comput..
[37] Pierre L'Ecuyer,et al. An Implementation of the Lattice and Spectral Tests for Multiple Recursive Linear Random Number Generators , 1997, INFORMS J. Comput..
[38] G. Marsaglia,et al. A New Class of Random Number Generators , 1991 .
[39] Pierre L'Ecuyer,et al. Tables of linear congruential generators of different sizes and good lattice structure , 1999, Math. Comput..
[40] Pierre L’Ecuyer,et al. Random Number Generation , 2008, Encyclopedia of Algorithms.
[41] Pierre L'Ecuyer,et al. Variance Reduction's Greatest Hits , 2007 .
[42] J. R. Heringa,et al. Simulation of a directed random-walk model the effect of pseudo-random-number correlations , 1996, cond-mat/9612227.
[43] Pierre L’Ecuyer,et al. F 2-Linear Random Number Generators , 2007 .
[44] Pierre L'Ecuyer,et al. Improved long-period generators based on linear recurrences modulo 2 , 2004, TOMS.
[45] Pierre L'Ecuyer,et al. An Object-Oriented Random-Number Package with Many Long Streams and Substreams , 2002, Oper. Res..
[46] Pierre L'Ecuyer,et al. Random numbers for parallel computers: Requirements and methods, with emphasis on GPUs , 2015, Math. Comput. Simul..
[47] Pierre L'Ecuyer,et al. On the performance of birthday spacings tests with certain families of random number generators , 2001 .
[48] Timothy R. C. Read,et al. Goodness-Of-Fit Statistics for Discrete Multivariate Data , 1988 .
[49] Pierre L'Ecuyer,et al. Distribution properties of multiply-with-c arry random number generators , 1997, Math. Comput..
[50] M. J. Durst. Using linear congruential generators for parallel random number generation , 1989, WSC '89.
[51] Oded Goldreich,et al. Unbiased Bits from Sources of Weak Randomness and Probabilistic Communication Complexity , 1988, SIAM J. Comput..
[52] Mark Goresky,et al. Efficient multiply-with-carry random number generators with maximal period , 2003, TOMC.
[53] R. Tausworthe. Random Numbers Generated by Linear Recurrence Modulo Two , 1965 .
[54] Pierre L'Ecuyer,et al. Linear congruential generators of order K>1 , 1988, WSC '88.
[55] Richard J. Simard,et al. A Software Library in ANSI C for Empirical Testing of Random Number Generators , 2013 .
[56] Richard P. Brent,et al. On the periods of generalized Fibonacci recurrences , 1994, ArXiv.
[57] Alan M. Ferrenberg,et al. Monte Carlo simulations: Hidden errors from "good" random number generators. , 1992, Physical review letters.
[58] Pierre L'Ecuyer,et al. Random number generation with multiple streams for sequential and parallel computing , 2015, 2015 Winter Simulation Conference (WSC).
[59] Pierre L'Ecuyer,et al. Combined generators with components from different families , 2003, Math. Comput. Simul..
[60] Ramarathnam Venkatesan,et al. Design of practical and provably good random number generators , 1995, SODA '95.
[61] O. Taussky,et al. Generation and testing of pseudo-random numbers , 1954 .
[62] I. D. Hill,et al. An Efficient and Portable Pseudo‐Random Number Generator , 1982 .
[63] Pierre L'Ecuyer,et al. On the xorshift random number generators , 2005, TOMC.
[64] Peter Hellekalek,et al. Empirical evidence concerning AES , 2003, TOMC.
[65] H. Niederreiter. Quasi-Monte Carlo methods and pseudo-random numbers , 1978 .
[66] Paul Bratley,et al. A guide to simulation , 1983 .
[67] Vashek Matyas,et al. Algorithm 970 , 2017, ACM Trans. Math. Softw..
[68] Pierre L'Ecuyer,et al. clRNG: A Random Number API with Multiple Streams for OpenCL , 2015 .
[69] N. J. A. Sloane,et al. Sphere Packings, Lattices and Groups , 1987, Grundlehren der mathematischen Wissenschaften.
[70] Donald Ervin Knuth,et al. The Art of Computer Programming, Volume II: Seminumerical Algorithms , 1970 .
[71] Lih-Yuan Deng,et al. Combining random number generators , 1991, 1991 Winter Simulation Conference Proceedings..
[72] Mario Stipcevic,et al. True Random Number Generators , 2014, Open Problems in Mathematics and Computational Science.
[73] James H. Lindholm. An analysis of the pseudo-randomness properties of subsequences of long m -sequences , 1968, IEEE Trans. Inf. Theory.
[74] Pierre L'Ecuyer,et al. Tables of maximally equidistributed combined LFSR generators , 1999, Math. Comput..
[75] John H. Halton,et al. Pseudo-random trees: multiple independent sequence generators for parallel and branching computations , 1989 .
[76] Pierre L'Ecuyer,et al. A search for good multiple recursive random number generators , 1993, TOMC.
[77] A. Rotenberg,et al. A New Pseudo-Random Number Generator , 1960, JACM.
[78] Pierre L'Ecuyer,et al. Uniform random number generation , 1994, Ann. Oper. Res..
[79] Igor E. Shparlinski,et al. Recent Advances in the Theory of Nonlinear Pseudorandom Number Generators , 2002 .
[80] Michael Mascagni,et al. SPRNG: A Scalable Library for Pseudorandom Number Generation , 1999, PP.
[81] Paul O. Frederickson,et al. A parallel Monte Carlo transport algorithm using a pseudo-random tree to guarantee reproducibility , 1987, Parallel Comput..
[82] Pierre L'Ecuyer,et al. Efficient and portable combined Tausworthe random number generators , 1990, TOMC.
[83] M. Luescher,et al. A Portable High-quality Random Number Generator for Lattice Field Theory Simulations , 1993 .
[84] S. K. Park,et al. Random number generators: good ones are hard to find , 1988, CACM.
[85] A. Mood. The Distribution Theory of Runs , 1940 .
[86] Pierre L'Ecuyer,et al. On the Deng-Lin random number generators and related methods , 2004, Stat. Comput..
[87] Pierre L'Ecuyer,et al. Bad Lattice Structures for Vectors of Nonsuccessive Values Produced by Some Linear Recurrences , 1997, INFORMS J. Comput..
[88] J. P. R. Tootill,et al. An Asymptotically Random Tausworthe Sequence , 1973, JACM.
[89] A. C. Atkinson,et al. The handbook of random number generation and testing with Testrand computer code , 1981 .
[90] C. L. Mallows,et al. Some Aspects of the Random Sequence , 1965 .
[91] Lauwerens Kuipers,et al. Uniform distribution of sequences , 1974 .
[92] H. Weyl. Über die Gleichverteilung von Zahlen mod. Eins , 1916 .
[93] U. Fincke,et al. Improved methods for calculating vectors of short length in a lattice , 1985 .
[94] Pierre L'Ecuyer,et al. Simulation in Java with SSJ , 2005, Proceedings of the Winter Simulation Conference, 2005..
[95] J. Eichenauer-Herrmann. Statistical independence of a new class of inversive congruential pseudorandom numbers , 1993 .
[96] Shu Tezuka,et al. The k-distribution of generalized feedback shift register pseudorandom numbers , 1983, CACM.
[97] Vattulainen,et al. Physical tests for random numbers in simulations. , 1994, Physical review letters.
[98] Pierre L'Ecuyer,et al. Random Number Generators: Selection Criteria and Testing , 1998 .
[99] R. A. Fisher,et al. Statistical Tables for Biological, Agricultural and Medical Research , 1956 .
[100] Karl Pearson,et al. Random sampling numbers , 2022 .
[101] L. R. Moore,et al. An Exhaustive Analysis of Multiplicative Congruential Random Number Generators with Modulus $2^{31} - 1$ , 1986 .
[102] Lih-Yuan Deng,et al. STATISTICAL JUSTIFICATION OF COMBINATION GENERATORS , 1997 .
[103] P. A. W. Lewis,et al. A Pseudo-Random Number Generator for the System/360 , 1969, IBM Syst. J..
[104] Aaldert Compagner,et al. On the use of reducible polynomials as random number generators , 1993 .
[105] Michael Luby,et al. Pseudorandomness and cryptographic applications , 1996, Princeton computer science notes.
[106] W. O. Kermack,et al. XXII.—Some Distributions associated with a Randomly Arranged Set of Numbers , 1938 .
[107] Manuel Blum,et al. Independent unbiased coin flips from a correlated biased source—A finite state markov chain , 1984, Comb..
[108] Pierre L'Ecuyer,et al. A Fast Jump Ahead Algorithm for Linear Recurrences in a Polynomial Space , 2008, SETA.
[109] Pierre L'Ecuyer,et al. Fast combined multiple recursive generators with multipliers of the form a = ±2q ±2r , 2000, WSC '00.
[110] Richard Moulds,et al. Quantum Random Number Generators , 2016 .
[111] Richard P. Brent,et al. Note on Marsaglia's Xorshift Random Number Generators , 2004 .
[112] P. Moore. A Million Random Digits with 100,000 Normal Deviates. , 1955 .
[113] G. Marsaglia,et al. Monkey tests for random number generators , 1993 .
[114] Oystein Ore,et al. Number Theory and Its History , 1949 .
[115] Pierre L'Ecuyer,et al. Combined Multiple Recursive Random Number Generators , 1995, Oper. Res..
[116] G. S. Fishman. Multiplicative congruential random number generators with modulus 2^{}: an exhaustive analysis for =32 and a partial analysis for =48 , 1990 .
[117] Makoto Matsumoto,et al. Strong deviations from randomness in m-sequences based on trinomials , 1996, TOMC.
[118] H. B. Horton,et al. A Direct Method for Producing Random Digits in any Number System , 1949 .
[119] I. Good. The serial test for sampling numbers and other tests for randomness , 1953, Mathematical Proceedings of the Cambridge Philosophical Society.
[120] Anne Canteaut. Berlekamp-Massey Algorithm , 2011, Encyclopedia of Cryptography and Security.
[121] Pierre L'Ecuyer,et al. A process-oriented simulation package based on Modula-2 , 1987, WSC '87.
[122] SOME TESTS OF THE RANDOMNESS OF A MILLION DIGITS , 1948 .
[123] Pierre L'Ecuyer,et al. F2-Linear Random Number Generators , 2009 .
[124] J. Wolfowitz,et al. The Covariance Matrix of Runs Up and Down , 1944 .
[125] Richard E. Nance,et al. Some Experimental Observations on the Behavior of Composite Random Number Generators , 1978, Oper. Res..
[126] J. Franklin,et al. Numerical Simulation of Stationary and Non-Stationary Gaussian Random Processes , 1965 .
[127] H. Grothe,et al. The lattice structure of pseudo-random vectors generated by matrix generators , 1988 .
[128] Pierre L'Ecuyer. Uniform random number generators , 1998, WSC '98.
[129] Pierre L'Ecuyer,et al. A random number generator based on the combination of four LCGs , 1997 .
[130] Pierre L'Ecuyer,et al. Implementing a random number package with splitting facilities , 1991, TOMS.
[131] RECURRING-WITH-CARRY SEQUENCES , 1995 .
[132] Glyn Carter,et al. Aspects of local linear complexity , 1989 .
[133] Pierre L'Ecuyer,et al. Beware of linear congruential generators with multipliers of the form a = ±2q ±2r , 1999, TOMS.
[134] Elaine B. Barker,et al. A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications , 2000 .
[135] A. Grube,et al. Mehrfach rekursiv‐erzeugte Pseudo‐Zufallszahlen , 1973 .
[136] Lih-Yuan Deng,et al. A system of high-dimensional, efficient, long-cycle and portable uniform random number generators , 2003, TOMC.
[137] Robert E. Greenwood. Coupon collector’s test for random digits , 1955 .
[138] Pierre L'Ecuyer,et al. Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators , 1999, Oper. Res..
[139] Pierre L'Ecuyer,et al. On the Lattice Structure of a Special Class of Multiple Recursive Random Number Generators , 2014, INFORMS J. Comput..
[140] Harald Niederreiter,et al. Introduction to finite fields and their applications: List of Symbols , 1986 .
[141] Su. Centre-Ville,et al. Construction of Equidistributed Generators based on linear recurrences modulo 2 , 2000 .
[142] Martin Greenberger,et al. Method in randomness , 1965, CACM.
[143] M. E. Muller. The Handbook of Random Number Generation and Testing with TESTRAND Computer Code , 1983 .
[144] R. R. Coveyou,et al. Fourier Analysis of Uniform Random Number Generators , 1967, JACM.
[145] G. Marsaglia. The Structure of Linear Congruential Sequences , 1972 .
[146] Y. Peres. Iterating Von Neumann's Procedure for Extracting Random Bits , 1992 .
[147] Martin Greenberger,et al. Notes on a New Pseudo-Random Number Generator , 1961, JACM.
[148] F. James,et al. RANLUX: A Fortran implementation of the high-quality pseudorandom number generator of Lüscher , 1994 .
[149] F. James. A Review of Pseudorandom Number Generators , 1990 .
[150] Jacob Wolfowitz,et al. Asymptotic Distribution of Runs Up and Down , 1944 .
[151] Steven A. Orszag,et al. CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS , 1978 .
[152] Pierre L'Ecuyer,et al. Sparse Serial Tests of Uniformity for Random Number Generators , 1998, SIAM J. Sci. Comput..
[153] Mark A. Moraes,et al. Parallel random numbers: As easy as 1, 2, 3 , 2011, 2011 International Conference for High Performance Computing, Networking, Storage and Analysis (SC).
[154] Pierre L'Ecuyer,et al. Efficient and portable combined random number generators , 1988, CACM.
[155] Holger Grothe,et al. Matrix generators for pseudo-random vector generation , 1987 .
[156] Pierre L'Ecuyer,et al. Testing random number generators , 1992, WSC '92.
[157] L. Devroye. Non-Uniform Random Variate Generation , 1986 .
[158] J. Hammersley. A Million Random Digits with 100,000 Normal Deviates. , 1955 .
[159] Pierre L'Ecuyer,et al. Software for uniform random number generation: distinguishing the good and the bad , 2001, Proceeding of the 2001 Winter Simulation Conference (Cat. No.01CH37304).
[160] G. Marsaglia. Random numbers fall mainly in the planes. , 1968, Proceedings of the National Academy of Sciences of the United States of America.
[161] Sebastiano Vigna,et al. An Experimental Exploration of Marsaglia's xorshift Generators, Scrambled , 2014, ACM Trans. Math. Softw..
[162] Electrical Noise Generators , 1947, Proceedings of the IRE.
[163] Manuel Blum,et al. A Simple Unpredictable Pseudo-Random Number Generator , 1986, SIAM J. Comput..
[164] T. E. Hull,et al. Random Number Generators , 1962 .