Skip to Main Content
U.S. Forest Service
Caring for the land and serving people

United States Department of Agriculture

Home > Search > Publication Information

  1. Share via EmailShare on FacebookShare on LinkedInShare on Twitter
    Dislike this pubLike this pub
    Author(s): Steve P. VerrillJames W. EvansDavid E. KretschmannCherilyn A. Hatfield
    Date: 2012
    Source: USDA Forest Service, Forest Products Laboratory, Research Paper, FPL-RP-667, 2012: 48 p.
    Publication Series: Research Paper (RP)
    Station: Forest Products Laboratory
    PDF: View PDF  (1.27 MB)

    Description

    Two important wood properties are stiffness (modulus of elasticity or MOE) and bending strength (modulus of rupture or MOR). In the past, MOE has often been modeled as a Gaussian and MOR as a lognormal or a two or three parameter Weibull. It is well known that MOE and MOR are positively correlated. To model the simultaneous behavior of MOE and MOR for the purposes of wood system reliability calculations, in a 2012 paper Verrill, Evans, Kretschmann, and Hatfield introduced a bivariate Gaussian–Weibull distribution and the associated pseudo-truncated Weibull. In that paper, they obtained asymptotically efficient estimators of the parameter vector of the bivariate Gaussian–Weibull. In this paper, we discuss computer simulations that investigated the small sample properties of these parameter estimates. We also discuss a Web-based computer program that obtains these estimates.

    Publication Notes

    • We recommend that you also print this page and attach it to the printout of the article, to retain the full citation information.
    • This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.

    Citation

    Verrill, Steve P.; Evans, James W.; Kretschmann, David E.; Hatfield, Cherilyn A. 2012. Small sample properties of asymptotically efficient estimators of the parameters of a bivariate Gaussian–Weibull distribution. Research Paper FPL-RP-667. Madison, WI: U.S. Department of Agriculture, Forest Service, Forest Products Laboratory. 46 p.

    Cited

    Google Scholar

    Keywords

    Reliability, modulus of rupture, modulus of elasticity, normal distribution, Weibull distribution, likelihood, methods, ASTM D 5457

    Related Search


    XML: View XML
Show More
Show Fewer
Jump to Top of Page
https://www.fs.usda.gov/treesearch/pubs/41243