Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Nonparametric Estimation of Reliabilityin Strength-Stress Model

  • Jeong, H.S. (\Applied Statistics, Seowon University) ;
  • Kim, J.J. (Professor, Applied Statistics, Seowon University) ;
  • Park., B.U. (\Department of Computer Science and Statistics, Seoul National University) ;
  • Lee, H.W. (Department of Computer Science and Statistics, Seoul National University)
  • Published : 1996.12.01
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Abstract

We treat the problem of estimating reliability R = P[Y < X] in the stress-strength model in which a unit of strength X is subfected to enviromental stress Y./ In this paper several nonparametric approaches to estimation of R are analyzed and compared by simulations.

Keywords

References

  1. Communications in Statistics-Simulation and Computation v.B15 no.2 Estimation of Pr(Y＜ X) in the Burr Case: A Comparative Study Awad, M. A.;Charraf, K. C.
  2. Proceedings of the Third Berleley Symposium on Mathernatical Stasistics and Probability v.1 On a Use of the Mann-Whitney Statistic Birnbaum, Z. W.
  3. Technometrics v.12 The Estimation of Reliability from Stress-Strength Relationships Church, J. D.;Harris, B.
  4. Technometrics v.15 The Estimation of the Pr(Y ＜ X) in the Normal Case Downton, F.
  5. Technometrics v.28 Statistical Inference for Pr(Y＜ X) Reiser, B.;Guttman, I.
  6. Theory of Point Estimation Lehmann, E. L.
  7. Communication in Statistics-Theory and Methods v.A10 On Estimating Pr(Y＜ X) for the Exponential Distribution Sathe, Y. S.;Shah, S. P.
  8. Journal of the American Statistical Association v.82 Biased and Unbiased Cross-Validation in Density Estimation Scott, D. W.;Terrell, G. R.
  9. Communications in Statistics-Simulation and Computation v.B15 no.2 Estimation of Pr(Y＜ X) in the Gamma Case Tse, S. K.;Karson, M.
  10. Communications in Statistics-Simulation and Computation v.B15 no.2 Estimation of Pr(Y < X) in the Gamma Case Tse,S.K.;Karson,M.