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Proof load designs for estimation of dependence in a bivariate Weibull model

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  • Johnson, Richard A.
  • Lu, Wenqing

Abstract

A proof load design is useful for estimation of the dependence between two strength properties of a unit when either property can only be measured by loading to failure. Here we extend the application of the proof load design to estimate the parameters of a bivariate Weibull distribution. An example concerning the bending and tensile strengths lumber is presented.

Suggested Citation

  • Johnson, Richard A. & Lu, Wenqing, 2007. "Proof load designs for estimation of dependence in a bivariate Weibull model," Statistics & Probability Letters, Elsevier, vol. 77(11), pages 1061-1069, June.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:11:p:1061-1069
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    References listed on IDEAS

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    1. Jye Lu & Gouri Bhattacharyya, 1990. "Some new constructions of bivariate Weibull models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(3), pages 543-559, September.
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    Cited by:

    1. Yumi Kondo & James V Zidek & Carolyn G Taylor & Constance Eeden, 2018. "Bayesian Subset Selection Methods for Finding Engineering Design Values: an Application to Lumber Strength," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(1), pages 146-172, December.

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