Statistical inference for P(X

@article{Zhou2008StatisticalIF,
  title={Statistical inference for P(X},
  author={Wang Zhou},
  journal={Statistics in medicine},
  year={2008},
  volume={27 2},
  pages={257-79}
}
  • Wang Zhou
  • Published 2008 in Statistics in medicine
Let X and Y be two independent continuous random variables. We make statistical inference about theta=P(X<Y), the so-called stress-strength model, through the Edgeworth expansions and the bootstrap approximations of the Studentized Wilcoxon-Mann-Whitney statistics. Finite-sample accuracy of the confidence intervals is assessed through a simulation study. Two real data sets are analysed to illustrate our methods. 
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