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Original Articles

Bayesian analysis for inverse gaussian lifetime data with measures of degradation

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Pages 217-234 | Received 02 Jan 1998, Published online: 20 Mar 2007

References

  • Chhikara , R.S. and Floks , J.L. 1977 . The inverse Gaussian distribution as a lifetime model . Technometrics , 19 : 461 – 468 .
  • Chhikara , R.S. and Floks , J.L. 1989 . The inverse Gaussian distribution, theory, Methodology and Applications , New York : Marcel Dekker .
  • Cox , D.R. and Miller , H.D. 1965 . The theory of stochastic process , London : Chapman and Hall .
  • Crowder , M.J. , Kimber , A.C. , Smith , R.L. and Sweeting , T.J. 1991 . Statistical analysis of reliability data , London : Chapman and Hall .
  • Dey , D.K. and Lee , T.M. 1992 . Bayes computation for life testing and reliability estimation . IEEE Trans Reliability , R-41 : 621 – 626 .
  • Gelfand , A.E. , Hills , S.E. , Racine-Poon , A. and Smith , A.F.M. 1990 . Illustration of Bayesian inference in normal data models using Gibbs sampling . J. Amer. Statist. Assoc , 85 : 972 – 985 .
  • Gelfand , A.E. and Smith , A.F.M. 1990 . Sampling-based approaches to calculating marginal densities . J. Amer. Statist. Assoc , 85 : 398 – 409 .
  • Gelfand , A.E. , Smith , A.F.M. and Lee , T.M. 1992 . Bayesian analysis of constrained parameter and truncated data problems . J. Amer. Statist. Assoc , 87 : 523 – 532 .
  • Gilks , W.R. and Wild , P. 1992 . Adaptive rejection sampling for Gibbs sampling . Applied Statistics , 41 : 337 – 348 .
  • Karlin , S. and Taylor , H.M. 1975 . A first course in stochastic processes , New York : Academic Press .
  • Lu , C.J. and Meeker , W.Q. 1993 . Using degradation measures to estimate a time–to–failure distribution . Technometrics , 35 : 161 – 174 .
  • Lu , J. 1995 . Degradation Processes and related reliability models , McGill University . Unpublished Ph.D. Thesis
  • Meeker , W.Q. and Escobar , L.A. 1993 . A review of research and current issues in accelerated testing . Int’l Statistical Review , 61 : 147 – 168 .
  • Michael , J.R. , Schucany , W.R. and Hass , R.W. 1976 . Generating random variates using transformations with multiple roots . Amer. Statist , 30 : 88 – 90 .
  • Pettit , L.I. 1996 . “ Learning about degradation models and prognostic factors ” . In Data analysis and information systems , Edited by: Bock and Polasek . 332 – 341 . Heidelberg : Springer-Verlag .
  • Tseng , S.T. and Yu , H.F. 1997 . A termination rule for degradation experiments . IEEE Trans. Reliability , R-46 : 130 – 133 .
  • Wakefield , J.C. , Gelfand , A.E. and Smith , A.F.M. 1991 . Efficient generation of random variates via the ratio-of-uniforms method . Statistics and Computing , 1 : 129 – 133 .
  • Whitmore , G.A. 1983 . A regression method for censored inverse–Gaussian data . Canadian J. Statistics , 11 : 305 – 311 .
  • Whitmore , G.A. 1995 . Estimating degradation by a Wiener diffusion process subject to measurement error . Lifetime Data Analysis , 1 : 307 – 319 .
  • Wild , P. and Gikls , W.R. 1993 . Algorithm AS 287: Adaptive rejection sampling from log-concave density functions . Applied Statistics , 42 : 701 – 709 .

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