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

页码：331 / 346

页数：16