A further VDR-type density representation based on the Box-Muller method

被引:1
|
作者
Troutt, MD [1 ]
Pang, WK [1 ]
机构
[1] HONG KONG POLYTECH UNIV,DEPT MATH APPL,KOWLOON,HONG KONG
关键词
vertical density representation; Box-Muller method; standard normal distribution;
D O I
10.1080/02331889708802576
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In recent papers a concept called vertical density representation was derived from the well-known Box-Muller method for generating normally distributed deviates. In this paper we show that this method may be regarded as one particular solution to a density composition equation. We then derive a second such solution. We also illustrate an extension of the method to certain normal-like densities.
引用
收藏
页码:101 / 108
页数:8
相关论文
共 44 条
  • [1] A new approach of Box-Muller method
    Jun, Doobae
    Kim, Seki
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2007, 936 : 304 - +
  • [2] BOX-MULLER METHOD FOR GENERATING PSEUDO-RANDOM NORMAL DEVIATES
    GOLDER, ER
    SETTLE, JG
    THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1976, 25 (01): : 12 - 20
  • [3] FPGA Implementation of AWGN Noise Generator Using Box-Muller Method
    Caglan, Abdulsamet
    Inceoz, Erkan
    Balcisoy, Ersen
    Ozbek, Mehmet Efe
    Cavus, Enver
    2016 24TH SIGNAL PROCESSING AND COMMUNICATION APPLICATION CONFERENCE (SIU), 2016, : 1813 - 1816
  • [4] Reliability Sensitivity Analysis by the Axis Orthogonal Importance Sampling Method Based on the Box-Muller Transformation
    Zhao, Wei
    Wu, Yeting
    Chen, Yangyang
    Ou, Yanjun
    APPLIED SCIENCES-BASEL, 2022, 12 (19):
  • [5] Generalized Box-Muller method for generating q-Gaussian random deviates
    Thistleton, William J.
    Marsh, John A.
    Nelson, Kenric
    Tsallis, Constantino
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (12) : 4805 - 4810
  • [6] Study on the Reproduction of Vocal Fluctuations Using Box-Muller Method for Artificial Synthesis
    Okawa, Tomohisa
    Kondo, Takaaki
    Kadoi, Shun
    Kamiyama, Kyouhei
    Kamata, Hiroyuki
    SYSTEMS SIMULATION AND SCIENTIFIC COMPUTING, PT I, 2012, 326 : 409 - +
  • [7] Enhanced Box-Muller method for high quality Gaussian random number generation
    Addaim, Adnane
    Gretete, Driss
    Ait Madi, Abdessalam
    INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2018, 9 (03) : 287 - 297
  • [8] A hardware Gaussian noise generator using the Box-Muller method and its error analysis
    Lee, DU
    Villasenor, JD
    Luk, W
    Leong, PHW
    IEEE TRANSACTIONS ON COMPUTERS, 2006, 55 (06) : 659 - 671
  • [9] A simple generalization of the Box-Muller method for obtaining a pair of correlated standard normal variables
    Dias, J. Rodrigues
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2010, 80 (09) : 953 - 958
  • [10] Comments on "Generalized Box-Muller Method for Generating q-Gaussian Random Deviates"
    Nelson, Kenric P.
    Thistleton, William J.
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (10) : 6785 - 6789