On simulating exchangeable sub-Gaussian random vectors

被引:5
|
作者
Mohammadpour, A
Soltani, AR
机构
[1] Amirkabir Univ Technol, Fac Math & Comp, Dept Stat, Tehran 15914, Iran
[2] Kuwait Univ, Fac Sci, Dept State & OR, Safat 13060, Kuwait
关键词
exchangeability; extendibility; permutation-symmetric and exchangeable sub-Gaussian random vectors;
D O I
10.1016/j.spl.2004.04.006
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
Certain characterizations for an exchangeable sub-Gaussian random vector are given and a method together with an S-PLUS function for simulating such a vector are introduced. Simulated values are used to plot contours of their empirical density. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:29 / 36
页数:8
相关论文
共 50 条
  • [1] SUB-GAUSSIAN RANDOM VECTORS AND THE LEVY BAXTER THEOREM
    BULDYGIN, VV
    KOZACHENKO, YV
    [J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1987, 31 (03) : 536 - 536
  • [2] EXPONENTIAL INTEGRABILITY OF SUB-GAUSSIAN VECTORS
    FUKUDA, R
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 1990, 85 (04) : 505 - 521
  • [3] INEQUALITIES FOR THE DISTRIBUTIONS OF FUNCTIONALS OF SUB-GAUSSIAN VECTORS
    Buldygin, V. V.
    Pechuk, E. D.
    [J]. THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2009, 80 : 23 - 33
  • [4] An Analytical EM Algorithm for Sub-Gaussian Vectors
    Kabasinskas, Audrius
    Sakalauskas, Leonidas
    Vaiciulyte, Ingrida
    [J]. MATHEMATICS, 2021, 9 (09)
  • [5] Parameter Estimation Using the EM Algorithm for Symmetric Stable Random Variables and Sub-Gaussian Random Vectors
    Teimouri, Mahdi
    Rezakhah, Saeid
    Mohammadpour, Adel
    [J]. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2018, 17 (03): : 439 - 461
  • [6] Parameter Estimation Using the EM Algorithm for Symmetric Stable Random Variables and Sub-Gaussian Random Vectors
    Mahdi Teimouri
    Saeid Rezakhah
    Adel Mohammadpour
    [J]. Journal of Statistical Theory and Applications, 2018, 17 (3): : 439 - 461
  • [7] Simulation of a strictly sub-Gaussian random field
    Turchyn, Ievgen
    [J]. STATISTICS & PROBABILITY LETTERS, 2014, 92 : 183 - 189
  • [8] Unconditional Convergence of Sub-Gaussian Random Series
    Giorgobiani, G.
    Kvaratskhelia, V.
    Menteshashvili, M.
    [J]. PATTERN RECOGNITION AND IMAGE ANALYSIS, 2024, 34 (01) : 92 - 101
  • [9] SUB-GAUSSIAN ESTIMATORS OF THE MEAN OF A RANDOM VECTOR
    Lugosi, Gabor
    Mendelson, Shahar
    [J]. ANNALS OF STATISTICS, 2019, 47 (02): : 783 - 794
  • [10] THE SUB-GAUSSIAN NORM OF A BINARY RANDOM VARIABLE
    Buldygin, V. V.
    Moskvichova, K. K.
    [J]. THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2012, 86 : 28 - 42