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A new multiple proof loads approach for estimating correlations. (English) Zbl 0957.62085

Limnios, N. (ed.) et al., Recent advances in reliability theory. Methodology, practice, and inference. Boston, MA: Birkhäuser. Statistics for Industry and Technology. 245-257 (2000).
Summary: By employing reliability based design to structures, engineers can make efficient use of building materials. One important input to the design is the correlation between two or more strength properties such as bending and tensile strength. However, with wood products, there is the added complication that it is difficult to create good pairs of specimens. When specimens are tested to failure in one strength mode the specimen is destroyed. Somehow, information on both strength properties must be obtained from a single specimen. Our approach is to load each specimen to a specified load in strength mode one and then load survivors to failure in strength mode 2.
We first review our earlier experimental designs which do allow for the estimation of correlation in a bivariate normal distribution. Then, we present some results for a new design that uses multiple proof loading. Some preliminary results are also presented for estimating correlation under a bivariate Weibull distribution.
For the entire collection see [Zbl 0944.00026].

MSC:

62N05 Reliability and life testing
62P30 Applications of statistics in engineering and industry; control charts

Software:

NUMAL