Ӧ�ø���ͳ�� 2009, 25(2) 143-154 DOI:      ISSN: 1001-4268 CN: 31-1256

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�ֱ���ǿ�Ȳ���δ֪��Ӧ��������֪��ǿ�Ȳ�����֪��Ӧ������δ֪������¸����˽ṹ�ɿ���$P_{A}$�Ĺ���$\wh{P}_{A1}$��$\wh{P}_{A2}$,�����������ǵĽ�������,���һ����$P_{A}$�Ľ�����������.���������������ģ�ͽṹ�ɿ��ȵĹ���$\wh{P}_{A1}$��$\wh{P}_{A2}$���������ģ��,���ģ������������.
�ؼ����� �ṹ�ɿ���   Ƕ�׶�Ԫָ���ֲ�   ǿ�����   ������̬��   ��������   ���ģ��.  
Estimation of Structural Reliability for a Nested Multivariate Exponential Distributed Stress
Wang Hui,Ye Cinan,Yan Guangle
Business School, University of Shanghai for Scienceand Technology, School of Science, University of Shanghai for Scienceand Technology
Abstract: We study a kind of stress-strength structural reliability model with stress being nested multivariate exponential distributed and strength being one-dimensional exponential distributed in this paper. On condition that strength parameter
unknown and stress parameters known as well as contrary situations, the estimators $\wh{P}_{A1}$ and $\wh{P}_{A2}$ of the structural reliability $P_{A}$ are proposed and their consistency and asymptotic normality are discussed, meanwhile, the estimators' confidence intervals are also shown. Finally, we randomly simulate the estimators $\wh{P}_{A1}$ and $\wh{P}_{A2}$ of $P_{A}$ with the satisfactory results.
Keywords: Structural reliability   nested multivariate exponential distribution   strong consistency   asymptotic property   confidence interval   random simulation.  
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