An asymptotic α-test for the expectation of random fuzzy variables

被引：64
|
作者：
Körner, R [1 ]
机构：
[1] Freiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, Germany
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2000年 / 83卷 / 02期
关键词：
alpha-test; random fuzzy variables; LR-fuzzy number; central limit theorem;
D O I：
10.1016/S0378-3758(99)00107-X
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：
An asymptotic alpha-test of hypotheses about the fuzzy expectation with respect to fuzzy data is obtained with the help of a central limit theorem. The asymptotical distribution of the distance between the sample mean and the fuzzy expectation is used to calculate the quantiles. The asymptotical distribution is an omega(2)-distribution. An explicit expression for the density function is obtained for tests with LR-fuzzy numbers. (C) 2000 Elsevier Science B.V. All rights reserved. MSG: 62F03; 03B72.
引用
收藏
页码：331 / 346
页数：16
相关论文
共 50 条
  • [1] An asymptotic test for symmetry of random variables based on fuzzy tools
    Gonzalez-Rodriguez, G.
    Colubi, A.
    D'Urso, P.
    Giordani, P.
    SOFT METHODS FOR INTEGRATED UNCERTAINTY MODELLING, 2006, : 87 - +
  • [2] FUZZY RANDOM-VARIABLES, EXPECTATION, AND MARTINGALES
    STOJAKOVIC, M
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) : 594 - 606
  • [3] On the asymptotic behavior of the expectation of the maximum of i.i.d. random variables
    Correa, Jose R.
    Romero, Matias
    OPERATIONS RESEARCH LETTERS, 2021, 49 (05) : 785 - 786
  • [4] Testing one-sided hypotheses for the expectation of fuzzy random variables
    Wünsche, A
    SOFT METHODOLOGY AND RANDOM INFORMATION SYSTEMS, 2004, : 415 - 422
  • [5] EXPECTATION OF RANDOM INTEGRABLE VARIABLES
    BRU, B
    HEINICH, H
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 288 (01): : 65 - 68
  • [6] SUMS OF RANDOM VARIABLES WITH INFINITE EXPECTATION
    KESTEN, H
    AMERICAN MATHEMATICAL MONTHLY, 1971, 78 (03): : 305 - &
  • [7] An asymptotic test of independence for multivariate t and Cauchy random variables with applications
    GuerreroCusumano, JL
    INFORMATION SCIENCES, 1996, 92 (1-4) : 33 - 45
  • [8] Two-sample Kolmogorov–Smirnov fuzzy test for fuzzy random variables
    Gholamreza Hesamian
    Jalal Chachi
    Statistical Papers, 2015, 56 : 61 - 82
  • [9] Power analysis of the one sample test for fuzzy random variables
    Gil, Maria Angeles
    Gonzilez-Rodriguez, Gil
    Lopez, Maria Teresa
    Ramos, Ana Belen
    2007 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-4, 2007, : 476 - +
  • [10] A Goodness-of-Fit Test Based on Fuzzy Random Variables
    Hesamian, Gholamreza
    Akbari, Mohammad Ghasem
    Shams, Mehdi
    FUZZY INFORMATION AND ENGINEERING, 2023, 15 (01) : 55 - 68
12345