强度为MOBVE分布时并联结构系统可靠度的估计

ESTIMATE OF RELIABILITY FOR PARALLEL STRUCTURAL SYSTEM WITH STRENGTH HAVING MOBVE DISTRIBUTION

设系统 A由两个结构单元 A1 和 A2 并联组成 .A1 和 A2 的强度 (Y1 ,Y2 )服从由 Marshall和 Olkin提出的 MOBVE分布 ,其联合可靠度函数为 R(y1 ,y2 ) =exp[-λ1 y1 -λ2 y2 -λ1 2 max(y1 ,y2 ) ] .I[y1>0 ,y2 >0 ] ,其中 λ1 >0 ,λ2 >0 ,λ1 2 ≥ 0均未知 .系统 A所承受的应力服从指数分布 (参数未知 ) .本文给出了系统 A的可靠度 PA的两种估计 PA和 PA以及两种渐近置信下限L(PA)^和L(PA) ,讨论了 PA和 PA 的统计性质 ,最后还进行了模拟计算 .

Let system A be composed of structural components A 1 and A 2 in parallel.The strength ( Y 1,Y\-2) of A 1 and A 2 has MOBVE ( λ 1,λ 2,λ 12 ) distribution,proposed by Marshall and Olkin with unknown parameters λ 1,λ 2 and λ 12 .The stress that the system A bears has negative exponential distribution with unknown parameters.In this paper,the point estimates A and \-A ,and asymptotic confidence low limits L(P\-A) ^ and L(P\-A) for the reliability P\-A of the system A are obtained;asymptotic properties of \-A and \-A are given.Some simulation results are also given.