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Title: Small Sample Properties of Asymptotically Efficient Estimators of the Parameters of a Bivariate Gaussian–Weibull Distribution

Source: USDA Forest Service, Forest Products Laboratory, Research Paper, FPL-RP-667, 2012: 48 p.

Author(s)Verrill, Steve P.; Evans, James W.; Kretschmann, David E.; Hatfield, Cherilyn A.

Publication Year: 2012  View PDF »

Category: Research Papers
Associated Research Project(s):   FPL-4714-1A  FPL-4851-2A

Abstract: 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.

Keywords: Reliability; modulus of rupture; modulus of elasticity; normal distribution; Weibull distribution; likelihood; methods; ASTM D 5457

Publication Review Process: Informally Refereed (Peer-Reviewed)

File size: 1,302 kb(s)

Date posted: 08/06/2012

This publication is also viewable on Treesearch:  view
RITS Product ID: 60567
Current FPL Scientists associated with this product (listed alphabetically)
Evans, James W.
Mathematical Statistician
Kretschmann, David E.
Research General Engineer
Verrill, Steve P.
Mathematical Statistician

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