Bootstrap Confidence Intervals for Reliability in 1-way ANOVA Random Model

  • Dal Ho Kim (Full-time Lecturer, Department of Statistics, Kyungpook National Unicersity, Taegu, 702-701, Korea) ;
  • Jang Sik Cho (Lecturer, Department of Statistics, Kyungpook National University, Taegu, 702-701, Korea)
  • Published : 1996.04.01

Abstract

We construct bootstrap confidence intervals for reliability, R= P{X>Y}, where X and Y are independent normal random variables. One way ANOVA random effect models are assumed for the populations of X and Y, where standard deviations $\sigma_{x}$ and $\sigma_{y}$ are unequal. We investigate the accuracy of the proposed bootstrap confidence intervals and classical confidence intervals work better than classical confidence interval for small sample and/or large value of R.

Keywords

References

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