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Original Articles

On the assessment of tolerance limits under inverse gaussian distribution

Pages 245-265 | Received 19 Sep 2000, Published online: 20 Mar 2007

References

  • Ang , A.H. and Tang , W.H. 1975 . Probability Concepts in Engineering Planning and Design , Vol. 1 , New York : Wiley .
  • Bhattacharyya , G.K. and Fries , A. 1982 . Fatigue Failure Models—Birnbaum-Saunders vs. inverse Gaussian. IEEE Transactions in Reliability , 5 ( R31 ) : 439 – 440 .
  • Bhattacharyya , G.K. and Fries , A. “ Inverse Gaussian Regression and Accelerated Life Tests, in Survival Analysis ” . In IMS Lecture Notes, Monograph Series Edited by: Crowley , John. and Johnson , Richard A. 101 – 118 .
  • Chhikara , R.S. and Folks , J.L. 1977 . The Inverse Gaussian Distribution as a Lifetime Model . Technometrics , 19 ( R31 ) : 461 – 468 .
  • Chhikara , R.S. and Folks , J.L. 1989 . The Inverse Gaussian Distribution—Theory, Methodology and Applications , New York : Mercel Dekker .
  • Desmond , A.F. 1985 . Stochastic Models of Failure in Random Environments . Canadian Journal of Statistics , 13 : 171 – 183 .
  • Feaganes , J.R. and Suchindran , C.M. 1991 . “ Weibull Regression with Unobservable Heterogeneity ” . In An Application AsA Proceedings of Social Statistics Section 160 – 165 .
  • Folks , J.L. and Chhikara , R.S. 1978 . The Inverse Gaussian Distribution and its Statistical Application—A Review . J. of Royal Statistical Society , 40 : 263 – 289 . B
  • Goh , C.J. , Tang , L.C. and Lim , S.C. 1989 . Reliability Modelling of Stochastic Wear-Out Failure. Reliability Engineering and Systems Safety , 25 : 303 – 314 .
  • Hougaard , P. 1984 . Life Table Methods for Heterogeneous Populations: Distributions Describing the Heterogeneity . Biometrika , 71 : 75 – 83 .
  • Hsieh , H.K. 1990 . Inferences on the Coefficient of Variation of an Inverse Gaussian Distribution . Communications in Statistics—Theory and Method , 19 : 1589 – 1605 .
  • Karian , Z.A. and Dudewicz , E.J. Modern Statistical, Systems, and GPSS Simulation—the First Course
  • Lee , S.J. 1999 . A Note on the Exact Prediction Limits for Future Observations from the Inverse Gaussian Distribution . J. of Statistical Computation and Simulation , 63 : 1 – 12 .
  • Michael , J.R. , Schucany , W.R. and Haas , R.W. 1976 . Generating Random Variates using Transformations with Multiple Roots . American Statistician , 30 : 88 – 90 .
  • Tang , L.C. and Chang , D.S. 1994 . Tolerance Limits for Inverse Gaussian Distribution . J. of Statistical Computation and Simulation , 51 : 21 – 29 .
  • Whitmore , G.A. and Yalovsky , M. 1978 . A Normalizing Logarithmic Transformation for Inverse Gaussian Random Variables . Technometrics , 20 ( 2 ) : 207 – 208 .

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