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随机变量概率信息不充分时的可靠性新模型
引用本文:唐樟春,吕震宙,吕媛波.随机变量概率信息不充分时的可靠性新模型[J].工程力学,2011(4):18-22.
作者姓名:唐樟春  吕震宙  吕媛波
作者单位:西北工业大学航空学院;
基金项目:国家自然科学基金项目(50875213); 航空基础基金项目(2007ZA53012); 863计划课题项目(2007AA04Z401); 科技重大专项项目(2009ZX04014-015-03)
摘    要:针对随机变量具有一定的数据积累而又不足以确定概率分布的情况,提出了一种新的可靠性模型.对于具有m个试验样本数据的基本随机变量,给定一映射变量的(m+1)个样本数据以形成m个子区间,使得每个子区间只包含1个基本随机变量的样本数据,从而可以确定每个子区间的基本可信度分配BPA.用证据合成的Dempster法则对具有n个基本...

关 键 词:可靠性  失效概率  证据理论  证据合成  信任测度函数  似真测度函数

A NOVEL RELIABILITY MODEL FOR RANDOM VARIABLES LACKING SUFFICIENT PROBABILITY INFORMATION
TANG Zhang-chun,LU Zhen-zhou,LU Yuan-bo.A NOVEL RELIABILITY MODEL FOR RANDOM VARIABLES LACKING SUFFICIENT PROBABILITY INFORMATION[J].Engineering Mechanics,2011(4):18-22.
Authors:TANG Zhang-chun  LU Zhen-zhou  LU Yuan-bo
Affiliation:TANG Zhang-chun,LU Zhen-zhou,LU Yuan-bo(School of Aeronautics,Northwestern Polytechnical University,Xi'an 710072,China)
Abstract:In the case that sample data are insufficient to determine probability distributions of random variables,a novel reliability model is presented on the basis of evidence theory.For the original random variable with m sample data,a matching variable with(m+1) sample data is constructed and the(m+1) sample data form m sub-intervals that each sub-interval exactly only involves a sample datum of the original random variable,and then the basic probability assignment(BPA) for each sub-interval can be determined.Fo...
Keywords:reliability  the failure probability  evidence theory  evidence combination  the belief measure  the plausibility measure  
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