Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Large Sample Tests for Independence and Symmetry in the Bivariate Weibull Model under Random Censorship

  • Cho, Jang-Sik (Department of Statistical Information Science, Kyungsung University) ;
  • Ko, Jeong-Hwan (Department of Information Statistics, Andong National University) ;
  • Kang, Sang-Kil (Department of Applied Statistics, Sangji University)
  • Published : 2003.05.31
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Abstract

In this paper, we consider two components system which the lifetimes have a bivariate weibull distribution with random censored data. Here the censoring time is independent of the lifetimes of the components. We construct large sample tests for independence and symmetry between two-components based on maximum likelihood estimators and the natural estimators. Also we present a numerical study.

Keywords

References

  1. Journal of The Korean Data Analysis Society v.5 no.1 Estimation of System Reliability in Bivariate Weibull Distribution Cho, J. S.;Cha, Y. J.;Lee, Jae Man
  2. Journal of the American Statistical Association v.65 A reliability bounds for systems of maintained independent components Esary, J.D.;Proschan, F.
  3. Theory of Point Estimation Lehmann, E.L.
  4. IEEE Transactions on Reliability v.38 Weibull extensions of the Freund and Marshall-Olkin bivariate exponential models Lu, J.C.
  5. IEEE Transactions on Reliability v.41 no.4 Bayes parameter estimation for the bivariate Weibull model of Marshall-Olkin for censored data Lu, J.C.
  6. Technical Report No. 821, Department of Statistics, University of Wisconsin Some bivariate extensions of the Weibull distribution Lu, J.C.;Bhattacharyya, G.K.
  7. Annals of the Institute of Statistical Mathematics v.42 Some new constructions of bivariate Weibull models Lu, J.C.;Bhattacharyya, G.K.