메뉴 건너뛰기




Volumn 45, Issue 5, 1999, Pages 1600-1606

Efficient generation of fair dice with few biased coins

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; INFORMATION THEORY; OPTIMIZATION; PROBABILITY; RANDOM NUMBER GENERATION; RANDOM PROCESSES;

EID: 0032629304     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.771228     Document Type: Article
Times cited : (5)

References (18)
  • 1
    • 0030244011 scopus 로고    scopus 로고
    • Generation of discrete distributions from biased coins
    • J. Abrahams, "Generation of discrete distributions from biased coins," IEEE Trans. Inform. Theory, vol. 42, pp. 1541-1546, 1996.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 1541-1546
    • Abrahams, J.1
  • 2
    • 51249178917 scopus 로고
    • Independent unbiased coin flips from a correlated biased source - A finite state Markov chain
    • M. Blum, "Independent unbiased coin flips from a correlated biased source - A finite state Markov chain," Combinatorica, vol. 6, no. 2, pp. 97-108, 1986.
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 97-108
    • Blum, M.1
  • 4
    • 0041174927 scopus 로고
    • Making a fair roulette from a possibly biased coin
    • E. W. Dijkstra, "Making a fair roulette from a possibly biased coin," Inform. Processing Lett., vol. 36, p. 193, 1990.
    • (1990) Inform. Processing Lett. , vol.36 , pp. 193
    • Dijkstra, E.W.1
  • 5
    • 0012578418 scopus 로고
    • The efficient computation of an unbiased random sequence
    • P. Elias, "The efficient computation of an unbiased random sequence," Ann. Math. Statist., vol. 43, pp. 865-870, 1972.
    • (1972) Ann. Math. Statist. , vol.43 , pp. 865-870
    • Elias, P.1
  • 8
    • 20744440885 scopus 로고
    • Unbiased coin tossing with a biased coin
    • W. Hoeffding and G. Simons, "Unbiased coin tossing with a biased coin," Ann. Math. Statist., vol. 41, pp. 341-352, 1970.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 341-352
    • Hoeffding, W.1    Simons, G.2
  • 9
    • 0031103769 scopus 로고    scopus 로고
    • Interval algorithm for random number generation
    • T. S. Han and M. Hoshi, "Interval algorithm for random number generation," IEEE Trans. Inform. Theory, vol. 43, pp. 599-611, 1997.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 599-611
    • Han, T.S.1    Hoshi, M.2
  • 10
    • 0019588995 scopus 로고
    • Entropy and optimal random number transformation
    • Y. Horibe, "Entropy and optimal random number transformation," IEEE Trans. Inform. Theory, vol. IT-27, pp. 527-529, 1981.
    • (1981) IEEE Trans. Inform. Theory , vol.IT-27 , pp. 527-529
    • Horibe, Y.1
  • 11
    • 84938015047 scopus 로고
    • A method for the construction of minimum redundancy codes
    • Feb.
    • D. A. Huffman, "A method for the construction of minimum redundancy codes," Proc. IRE, vol. 40, pp. 1098-1101, Feb. 1952.
    • (1952) Proc. IRE , vol.40 , pp. 1098-1101
    • Huffman, D.A.1
  • 12
    • 0347243152 scopus 로고    scopus 로고
    • Simulating fair dice with biased coins
    • T. Itoh, "Simulating fair dice with biased coins," Inform. Comput., vol. 126, pp. 78-82, 1996.
    • (1996) Inform. Comput. , vol.126 , pp. 78-82
    • Itoh, T.1
  • 13
    • 0002918554 scopus 로고
    • The complexity of nonuniform random number generation
    • J. F. Traub, Ed. New York: Academic
    • D. E. Knuth and A. C. Yao, "The complexity of nonuniform random number generation," in Algorithms and Complexity, New Directions and Results, J. F. Traub, Ed. New York: Academic, 1976, pp. 357-328.
    • (1976) Algorithms and Complexity, New Directions and Results , pp. 357-1328
    • Knuth, D.E.1    Yao, A.C.2
  • 15
    • 33749800113 scopus 로고
    • Efficient generation of random variables from biased coins
    • AT&T Lab., File Case 20878
    • J. R. Roche, "Efficient generation of random variables from biased coins," Bell Tech. Rep., AT&T Lab., File Case 20878, 1992.
    • (1992) Bell Tech. Rep.
    • Roche, J.R.1
  • 16
    • 0042897078 scopus 로고
    • Tree algorithms for unbiased coin tossing with a biased coin
    • Q. F. Stout and B. Warren, "Tree algorithms for unbiased coin tossing with a biased coin," Ann. Probab., vol. 12, pp. 212-222, 1984.
    • (1984) Ann. Probab. , vol.12 , pp. 212-222
    • Stout, Q.F.1    Warren, B.2
  • 17
    • 0003087344 scopus 로고    scopus 로고
    • Various techniques used in connection with random digits, notes by G. E. Forsythe, National Bureau of Standards
    • J. von Neumann, "Various techniques used in connection with random digits, notes by G. E. Forsythe, National Bureau of Standards," Applied Math Ser., vol. 12, pp. 36-38;
    • Applied Math Ser. , vol.12 , pp. 36-38
    • Von Neumann, J.1
  • 18
    • 0038579951 scopus 로고
    • Oxford, U.K.: Pergamon
    • reprinted in von Neumann's Collected Works., vol. 5. Oxford, U.K.: Pergamon, 1963, pp. 768-770.
    • (1963) Von Neumann's Collected Works , vol.5 , pp. 768-770


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.