Bootstrap Testing for Reliability of Stess-Strength Model with Explanatory Variables

  • Park, Jin-Pyo (Department of Computer Engineering, Kyungnam University) ;
  • Kang, Sang-Gil (Department of Statistics, Kyujgpook National University) ;
  • Cho, Jang-Sik (Department of Computer Science, Kyungsung University)
  • Published : 1998.10.31

Abstract

In this paper, we consider some approximate testings for the reliability of the stress-strength model when the stress X and strength Y each depends linearly on some explanatory variables z and w, respectively. We construct a bootstrap procedure for testing for various values of the reliability and compare the power of the bootstrap test with the test based on Mann-Whitney type estimator by Park et.al.(1996) for small and moderate sample size.

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