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Structural Reliability Assessment Based on the Information of Moments of Random Variables
The reliability analysis can be conducted in a manner similar to the full distribution structural reliability theories such as first‐order reliability method/second‐order reliability method. This chapter discusses the reliability evaluation based on the information of moments of random variables, in which the first few moments of the random variable will be used instead of their full probability distributions. It considers the special case of reliability estimation in which each variable is represented only by its first two moments, i.e. by its mean and standard deviation. This is known as the second‐moment level of representation. Higher order moments, such as skewness and kurtosis, etc., of the distribution, are then considered. The chapter also investigates the methods under the circumstance that only the first few moments of the basic random variables are known.
Structural Reliability Assessment Based on the Information of Moments of Random Variables
The reliability analysis can be conducted in a manner similar to the full distribution structural reliability theories such as first‐order reliability method/second‐order reliability method. This chapter discusses the reliability evaluation based on the information of moments of random variables, in which the first few moments of the random variable will be used instead of their full probability distributions. It considers the special case of reliability estimation in which each variable is represented only by its first two moments, i.e. by its mean and standard deviation. This is known as the second‐moment level of representation. Higher order moments, such as skewness and kurtosis, etc., of the distribution, are then considered. The chapter also investigates the methods under the circumstance that only the first few moments of the basic random variables are known.
Structural Reliability Assessment Based on the Information of Moments of Random Variables
Zhao, Yan‐Gang (author) / Lu, Zhao‐Hui (author)
Structural Reliability ; 193-252
2021-04-09
60 pages
Article/Chapter (Book)
Electronic Resource
English
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