CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2009, 25(2) 143-154 DOI:      ISSN: 1001-4268 CN: 31-1256

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Keywords
Structural reliability
nested multivariate exponential distribution
strong consistency
asymptotic property
confidence interval
random simulation.
Authors
Wang Hui
Ye Cinan
Yan Guangle
PubMed
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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.  
Received 1900-01-01 Revised 1900-01-01 Online:  
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Corresponding Authors: Wang Hui
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