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Some Bivariate Distributions for Modeling the Strength Properties of Lumber
Richard Arnold Johnson
出版
U.S. Department of Agriculture, Forest Service, Forest Products Laboratory
, 1999
URL
http://books.google.com.hk/books?id=R5DUSJSysXEC&hl=&source=gbs_api
EBook
FULL_PUBLIC_DOMAIN
註釋
Accurate modeling of the joint stochastic nature of the strength properties of dimension lumber is essential to the determination of reliability-based design safety factors. This report reviews the major techniques for obtaining bivariate distributions and then discusses bivariate distributions whose marginal distributions suggest they might be useful for modeling the joint distribution of two strength properties. Finally, we pick a bivariate Weibull distribution and show that we can write its likelihood function under a proof loading scheme, offering the possibility that it can be used to model the joint distribution of two properties that must each be measured using a destructive test.