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

共 15 条

[1]

[Anonymous], RANDOM SETS INTEGRAL

[2]

[Anonymous], 1981, PROBABILITY DISTRIBU

[3]

Araujo A., 1980, The central limit theorem for real and Banach valued random variables

[4] THE FUZZY DECISION PROBLEM - AN APPROACH TO THE PROBLEM OF TESTING STATISTICAL HYPOTHESES WITH FUZZY INFORMATION [J].

CASALS, MR ;

GIL, MA ;

GIL, P .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1986, 27 (03) :371-382

[5]

Dunford N., 1988, Linear operators, part 1: general theory

[6]

GEBHARDT J, 1998, HDB FUZZY SETS

[7] LIMIT-THEOREMS FOR FUZZY RANDOM-VARIABLES [J].

KLEMENT, EP ;

PURI, ML ;

RALESCU, DA .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1986, 407 (1832) :171-182

[8]

Kruse R., 1987, Statistics with vague data, DOI DOI 10.1007/978-94-009-3943-1

[9]

Martynov G. V., 1978, Omega-Square Criteria

[10] FUZZY RANDOM-VARIABLES [J].

PURI, ML ;

RALESCU, DA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 114 (02) :409-422

← 1 2 →