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Volumn 51, Issue 3, 2006, Pages 1614-1622

Generating good pseudo-random numbers

Author keywords

Non overlapping sequences; Parallel applications; Pseudo random numbers; Tests for randomness

Indexed keywords

COMPUTATIONAL METHODS; RANDOM PROCESSES; STATISTICAL METHODS;

EID: 33750740108     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.05.019     Document Type: Article
Times cited : (53)

References (25)
  • 2
    • 33750699485 scopus 로고    scopus 로고
    • Class Random. See: 〈http://java.sun.com/j2se/1.4.2/docs/api/java/util/Random.html〉.
  • 3
    • 23744490588 scopus 로고    scopus 로고
    • Evaluation of measurement uncertainty based on the propagation of distributions using Monte Carlo integration
    • Cox M.G., Harris P.M., and Siebert B.R.L. Evaluation of measurement uncertainty based on the propagation of distributions using Monte Carlo integration. Izmeritelnaya Technika 9 (2003) 9-14
    • (2003) Izmeritelnaya Technika , vol.9 , pp. 9-14
    • Cox, M.G.1    Harris, P.M.2    Siebert, B.R.L.3
  • 4
    • 84872448236 scopus 로고
    • The statistical study of infectious diseases
    • Greenwood M. The statistical study of infectious diseases. J. Roy. Statist. Soc., Ser. A 109 (1946) 85-109
    • (1946) J. Roy. Statist. Soc., Ser. A , vol.109 , pp. 85-109
    • Greenwood, M.1
  • 5
    • 0010120413 scopus 로고
    • Approximating the distribution of Greenwood's statistic with Johnson distributions
    • (See also Hill, I.D., Corrigenda. J. Roy. Statist. Soc., Ser. A 144, 388. 1981)
    • Hill I.D. Approximating the distribution of Greenwood's statistic with Johnson distributions. J. Roy. Statist. Soc., Ser. A 142 (1979) 378-380 (See also Hill, I.D., Corrigenda. J. Roy. Statist. Soc., Ser. A 144, 388. 1981)
    • (1979) J. Roy. Statist. Soc., Ser. A , vol.142 , pp. 378-380
    • Hill, I.D.1
  • 6
    • 33750722295 scopus 로고    scopus 로고
    • Hill, I.D., Wichmann, B.A., 1982. A pseudo-random number generator. NPL Report, DITC 6/82.
  • 7
    • 33750698115 scopus 로고    scopus 로고
    • ISO/IEC 8652, 1995. Programming languages-Ada. ISO. Geneva.
  • 8
    • 33750697475 scopus 로고    scopus 로고
    • ISO/IEC 9899, 1999. Programming languages-C. ISO. Geneva.
  • 9
    • 33750717403 scopus 로고    scopus 로고
    • Jenkins Jr. J. ISAAC (Indirection, Shift, Accumulate, Add, and Count) generator. 〈http://burtleburtle.net/bob/rand/isaacafa.html〉.
  • 10
    • 33750718668 scopus 로고    scopus 로고
    • Knuth, D.E., 1981. The Art of Computer Programming, vol. 2, Seminumerical Algorithms. Section 3.2.1. Addison-Wesley, Reading, MA. (The 2002 printing is required.)
  • 11
    • 21844490579 scopus 로고
    • Uniform random number generation
    • L'Ecuyer P. Uniform random number generation. Ann. Oper. Res. 53 (1994) 77-120
    • (1994) Ann. Oper. Res. , vol.53 , pp. 77-120
    • L'Ecuyer, P.1
  • 12
    • 0000181327 scopus 로고    scopus 로고
    • Good parameters and implementations for combined multiple recursive random number generators
    • L'Ecuyer P. Good parameters and implementations for combined multiple recursive random number generators. Oper. Res. 47 1 (1999) 159-164
    • (1999) Oper. Res. , vol.47 , Issue.1 , pp. 159-164
    • L'Ecuyer, P.1
  • 13
    • 0031145758 scopus 로고    scopus 로고
    • A random number generator based on the combination of four LCGs
    • L'Ecuyer P., and Andres T.H. A random number generator based on the combination of four LCGs. Math. Comput. Simulation 44 (1997) 99-107
    • (1997) Math. Comput. Simulation , vol.44 , pp. 99-107
    • L'Ecuyer, P.1    Andres, T.H.2
  • 14
    • 33750714948 scopus 로고    scopus 로고
    • L'Ecuyer, P., Simard, R., 2005. TestU01: A software library in ANSI C for empirical testing of random number generators. Laboratoire de simulation et d'optimisation. Université de Montréal IRO. Version 6.0, dated January 14, 2005. 〈http://www.iro.umontreal.ca/∼simardr/〉.
  • 15
    • 33750684512 scopus 로고    scopus 로고
    • Marsaglia, G., 1985. The Marsaglia random number CDROM, with the Diehard battery of tests of randomness, produced at Florida State University under a grant from The National Science Foundation. Available at 〈http://www.cs.hku.hk/∼diehard〉.
  • 16
    • 0031599142 scopus 로고    scopus 로고
    • Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator
    • Matsumoto M., and Nishimura T. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model. Comput. Simul. 8 1 (1998) 3-30
    • (1998) ACM Trans. Model. Comput. Simul. , vol.8 , Issue.1 , pp. 3-30
    • Matsumoto, M.1    Nishimura, T.2
  • 17
    • 33750711887 scopus 로고    scopus 로고
    • McCullough, B.D., 2006. A Review of TESTU01. J. Appl. Econom., to appear.
  • 18
    • 19044363551 scopus 로고    scopus 로고
    • On the accuracy of statistical procedures in microsoft excel 2003
    • McCullough B.D., and Wilson B. On the accuracy of statistical procedures in microsoft excel 2003. Comput. Statist. Data Anal. 49 4 (2005) 1244-1252
    • (2005) Comput. Statist. Data Anal. , vol.49 , Issue.4 , pp. 1244-1252
    • McCullough, B.D.1    Wilson, B.2
  • 19
    • 0012949157 scopus 로고
    • Remark on Algorithm AS 183
    • McLeod A.I. Remark on Algorithm AS 183. Appl. Statist. 34 (1985) 198-200
    • (1985) Appl. Statist. , vol.34 , pp. 198-200
    • McLeod, A.I.1
  • 20
    • 33750718354 scopus 로고    scopus 로고
    • NIST. Specification for the advanced encryption standard (aes). NIST special publication 197 (FIPS-197), National Institute of Standards and Technology (NIST), 2001. See, 〈http://csrc.nist.gov/encryption/aes/〉.
  • 21
    • 0000400053 scopus 로고
    • Thoughts on pseudorandom number generators
    • Ripley B. Thoughts on pseudorandom number generators. J. Comput. Appl. Math. 31 (1990) 153-163
    • (1990) J. Comput. Appl. Math. , vol.31 , pp. 153-163
    • Ripley, B.1
  • 22
    • 33750739407 scopus 로고    scopus 로고
    • Wichmann, B.A., Some Remarks about random testing. Download from: 〈http://www.npl.co.uk/ssfm/download/abstracts.html#60〉.
  • 23
    • 33750727201 scopus 로고    scopus 로고
    • Wichmann, B.A., Hill, I.D., 1982. Algorithm AS 183: an efficient and portable pseudo-random number generator. Appl. Statist. 31, 188-190. See also: Wichmann, B.A., Hill, I.D., 1985. Correction: algorithm AS 183: an efficient and portable pseudo-random number generator. Appl. Statist. 33, 123. Reprinted with the correction In: Griffiths, P., Hill, I.D. Applied Statistics Algorithms, Ellis Horwood, Chichester, UK.
  • 24
    • 33750731471 scopus 로고    scopus 로고
    • Wichmann, B.A, Hill, I.D., Generating good random numbers. See 〈http://www.npl.co.uk/ssfm/download/abstracts.html#196〉 for implementations of algorithm presented here in Ada and C, with further documentation.
  • 25
    • 0006730548 scopus 로고
    • Remark on Algorithm AS 183
    • Zeisel H. Remark on Algorithm AS 183. Appl. Statist. 35 (1986) 89
    • (1986) Appl. Statist. , vol.35 , pp. 89
    • Zeisel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.