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.
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页码：331 / 346
页数：16
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