Software Implementation of Numerical Operations on Random Variables

被引:0
|
作者
Dobronets, Boris S. [1 ]
Krantsevich, Artem M. [2 ]
Krantsevich, Nikolay M. [2 ]
机构
[1] Siberian Fed Univ, Inst Space & Informat Technol, Kirenskogo 26, Krasnoyarsk 660074, Russia
[2] Siberian Fed Univ, Inst Math & Comp Sci, Krasnoyarsk 660041, Russia
关键词
numerical operations on random variables; histogram arithmetic; second order histogram; Monte Carlo method; interval mathematics;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider a software implementation of numerical operations on different types of random variables and introduce algorithms for arithmetic operations on random variables represented by their probability densities. We also estimate the accuracy of these algorithms and compare the accuracy of histogram arithmetic and the Monte Carlo methods.
引用
收藏
页码:168 / 173
页数:6
相关论文
共 50 条
  • [22] Issues in the Software Implementation of Stochastic Numerical Runge-Kutta
    Gevorkyan, Migran N.
    Demidova, Anastasiya V.
    Korolkova, Anna V.
    Kulyabov, Dmitry S.
    DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS (DCCN 2018), 2018, 919 : 532 - 546
  • [23] MATHEMATICAL SOFTWARE IN BASIC - RV, GENERATION OF UNIFORM AND NORMAL RANDOM-VARIABLES
    KAHANER, DK
    HORLICK, J
    FOER, DK
    IEEE MICRO, 1986, 6 (03) : 52 - 60
  • [24] On random variables stipulated by sums of independent random variables
    Gnedenko, B.V.
    Kudlaev, E.M.
    Vestnik Moskovskogo Universiteta, Seriya 1 (Matematika Mekhanika), (05): : 23 - 30
  • [25] Implementation of signal processing operations by transforms with random coefficients for neuronal systems modelling
    Chéreau, F
    Defée, I
    2003 IEEE XIII WORKSHOP ON NEURAL NETWORKS FOR SIGNAL PROCESSING - NNSP'03, 2003, : 859 - 868
  • [26] CALCULATION OF LTPD SINGLE SAMPLING PLANS FOR INSPECTION BY VARIABLES AND ITS SOFTWARE IMPLEMENTATION
    Kasprikova, Nikola
    Klufa, Jindrich
    INTERNATIONAL DAYS OF STATISTICS AND ECONOMICS, 2011, : 266 - 276
  • [27] On essential variables of dual operations and the consequences for operations
    Sebastian Kerkhoff
    Algebra universalis, 2013, 70 : 43 - 70
  • [28] On essential variables of dual operations and the consequences for operations
    Kerkhoff, Sebastian
    ALGEBRA UNIVERSALIS, 2013, 70 (01) : 43 - 70
  • [29] ON ASYMPTOTIC EXPANSIONS FOR SOME NUMERICAL CHARACTERISTICS OF THE SUMS OF INDEPENDENT RANDOM-VARIABLES
    DAUGAVET, AI
    VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1980, (01): : 16 - 22
  • [30] Numerical method for probabilistic load flow computation with multiple correlated random variables
    Huang, Yu
    Xu, Qingshan
    Yang, Yang
    Jiang, Xianqiang
    IET RENEWABLE POWER GENERATION, 2018, 12 (11) : 1295 - 1303