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2001 Fiscal Year Final Research Report Summary

Hybrid pseudorandom number generations and their applications to simulations of stochastic models

Research Project

Project/Area Number 12640144
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionOkayama University of science

Principal Investigator

TAKASHIMA Keizo  Faculty of Science,Okayama University of Science, 理学部, 教授 (00137184)

Co-Investigator(Kenkyū-buntansha) WATANABE Hisao  Okayama University of Science, Faculty of Science,, 理学部, 助教授 (40037677)
HOTTA Ryoshi  Okayama University of Science, Faculty of Science,, 理学部, 教授 (70028190)
TAKENAKA Shigeo  Okayama University of Science, Faculty of Science,, 理学部, 教授 (80022680)
OGAWA Shigeyoshi  Kanazawa University, Faculty of Technology,, 工学部, 教授 (80101137)
SUTO Kiyokazu  Okayama University of Science, Faculty of Science,, 理学部, 助教授 (50196903)
Project Period (FY) 2000 – 2001
KeywordsHybrid pseudorandom number generation / Monta Carlo Methods / Stochastic numerical analysis / Stochastic moswling / Atatistical tests / 確率モデル
Research Abstract

We introduce a new method of pseudorandom number generations, Hybrid pseudorandom number generations, which is an improvement of previous methods of pseudorandom number generators, such as linear congruential generators, m-sequences, additive number generators, and cellular automaton pseudorandom number generators. By statistical tests, based on functionals of random walks, i.g. random walk tests, we obtain results which show apparent improvements of randomness.

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] K.Takashima: "A Note on Hybrid Pseudorandom Namber Gonerations"Proceedings of the Sixth International Conference.Computer Date A nalysis and Modeling. 3. 98-103 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Takashima: "Hybrid pseudo-random number generations"Monte Carlo Methods and Applications. 6. 49-59 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Takashima: "Random Walk tests and Pseudorandom number generators"Stochastic Analysis and Applications. 59-65 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 小川重義: "確率微分方程式の数値解法"論説「数学」. 53. 34-45 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.ogawa: "Ona determinestic appooach to the numerical solation of SDE-apprication of pseudorandom numbers and fanctions"Math.and Computers. (to appear). (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 小川重義: "非因果的確率積分方程式とその数値近似解について"数理科学講究録. 1121. 53-59 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高嶋惠三: "擬似乱数とRandom walk検定"Rokko Lectures in Mathematics, 神戸大学. 42 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Takashima: "Pseudorandom numbers and random walk tests"Rokko Lectures in Mathematics, Kobe University,. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Takashima: "A Note on Hybrid Pseudorandom Number Generations"in Proceedings of Sixth International Conference, Computer Data Analysis and Modeling. Vol.3. 98-103 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Takashima: "Hybrid pseudo-random number generations"Monte Carlo Methods and Applications. Vol.6. 49-59 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Takashima: "Random walk tests and Pseudorandom number generators,"in Stochastic Analysis and Appplications. 59-65 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Ogawa: "Numerical solutions for stochastic differential equations."in Sugaku. Vol.53. 34-45 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Ogawa: "On a deterministic approach to the numerical solution of SDE-application of pseudorandom numbers and functions"Math. And Computers. (to appear.). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Ogawa: "Noncausal stochastic integral equations and their numerical solutions"in Kokyuroku on Mathematical Sciences. Vol.1121. 53-59

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2003-09-17  

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