The probability distribution of a quantity known to be contained within an interval having uncertain limits

被引：0

作者：

Lira, I. ^{[1
]}

机构：

[1] Pontificia Univ Catolica Chile, Dept Mech & Met Engn, Santiago, Chile

来源：

MEASUREMENT SCIENCE AND TECHNOLOGY | 2010年 / 21卷 / 11期

关键词：

probability distributions; principle of maximum entropy; type-B information; RECTANGULAR DISTRIBUTION; TRAPEZOIDAL DISTRIBUTION;

D O I：

10.1088/0957-0233/21/11/117002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A probability distribution is derived that applies to a quantity known to be contained within an interval whose limits are estimated but not exactly known. A Monte Carlo procedure for numerically computing the distribution is described. Analytic expressions for the expectation and variance are given.

引用

页数：3

共 4 条

[1] On the Test of the Hypothesis that the Probability of an Event is contained within given Limits
Ottestad, Per
SKANDINAVISK AKTUARIETIDSKRIFT, 1951, 34 (3-4): : 197 - 201
[2] ON HYPOTHESIS-TESTING TO DETERMINE IF THE MEAN OF A NORMAL-DISTRIBUTION IS CONTAINED IN A KNOWN INTERVAL
SCHUIRMANN, DL
BIOMETRICS, 1981, 37 (03) : 617 - 617
[3] Unified polynomial expansion for interval and random response analysis of uncertain structure-acoustic system with arbitrary probability distribution
Yin, Shengwen
Yu, Dejie
Luo, Zhen
Xia, Baizhan
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 336 : 260 - 285
[4] Uncertain multi-attributes decision making method based on interval number with probability distribution weighted operators and stochastic dominance degree
Wu, Yunna
Xu, Hu
Xu, Chuanbo
Chen, Kaifeng
KNOWLEDGE-BASED SYSTEMS, 2016, 113 : 199 - 209

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