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Some bivariate distributions for modeling the strength properties of lumberAuthor(s): Richard A. Johnson; James W. Evans; David W. Green
Source: (Research paper FPL ; RP-575):11 p. : ill. ; 28 cm.
Publication Series: Research Paper (RP)
Station: Forest Products Laboratory
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DescriptionAccurate 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.
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CitationJohnson, Richard A.; Evans, James W.; Green, David W. Some bivariate distributions for modeling the strength properties of lumber. (Research paper FPL ; RP-575):11 p. : ill. ; 28 cm.
KeywordsLumber, Strength, Models, Variance, Distribution, Weibull distribution
- A fit of a mixture of bivariate normals to lumber stiffness—strength data
- Statistical models for the distribution of modulus of elasticity and modulus of rupture in lumber with implications for reliability calculations
- Small Sample Properties of Asymptotically Efficient Estimators of the Parameters of a Bivariate Gaussian–Weibull Distribution
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