131
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Reliability Studies of the Log-Exponential Inverse Gaussian Distribution

, &
Pages 3532-3543 | Received 31 Jan 2008, Accepted 31 Oct 2008, Published online: 16 Sep 2009

References

  • Bain , L. J. , Engelhardt , M. ( 1980 ). Probability of correct selection of Weibull versus gamma based on likelihood ratio . Commun. Statist. Theor. Meth. 9 : 375 – 381 .
  • Balasooriya , U. , Low , C.-K. , Wong , A. Y. W. ( 2005 ). Modeling insurance loss data: the log-EIG distribution . J. Actuarial Prac. 12 : 101 – 125 .
  • Bhattacharya , S. K. , Kumar , S. ( 1986 ). E-IG model in life testing . Calcutta Statist. Assoc. Bull. 35 : 85 – 90 .
  • Bryson , M. C. , Siddiqui , M. M. ( 1969 ). Some criteria for aging . J. Amer. Statist. Assoc. 64 : 1472 – 1483 .
  • Castillo , E. ( 1988 ) . Extreme Value Theory in Engineering. San Diego : Academic Press, Inc.
  • Cizek , P. , Hardle , W. , Weron , R. ( 2005 ) . Statistical Tools for Finance and Insurance . Berlin : Springer-Verlag .
  • Glaser , R. E. ( 1980 ). Bathtub and related failure rate characterizations . J. Amer. Statist. Assoc. 75 : 667 – 672 .
  • Gupta , R. C. , Akman , O. ( 1995a ). Mean residual life function for certain types of non-monotonic ageing . Commun. Statist. Stochastic Mod. 11 ( 1 ): 219 – 225 .
  • Gupta , R. C. , Akman , O. ( 1995b ). On the reliability studies of weighted inverse Gaussian model . J. Statist. Plann. Infer. 48 : 69 – 83 .
  • Gupta , R. C. , Warren , R. ( 2001 ). Determination of change points of nonmontonic failure rate . Commun. Statist. Theor. Meth. 30 ( 8&9 ): 1903 – 1920 .
  • Kanefuji , K. , Iwase , K. ( 1996 ). Exponential inverse Gaussian distribution . Computat. Statist. 11 : 315 – 326 .
  • Lee , E. T. , Wang , J. W. ( 2003 ) . Statistical Methods for Survival Data Analysis. , 3rd ed. New York : Wiley .
  • Saw , S. L. C. , Yong , J. ( 2007 ) Interval estimation for the exponential inverse Gaussian distribution . J. Statist. Computat. Simul. 78 ( 4 ): 339 – 349 .
  • Saw , S. L. C. , Balasooriya , U. , Tan , K. C. ( 2002 ). The log-EIG distribution: a new probability model for lifetime data . Commun. Statist. Theor. Meth. 31 ( 11 ): 1913 – 1926 .
  • Shuster , J. J. ( 1968 ). On the inverse Gaussian distribution function . J. Amer. Statist. Assoc. 63 : 1514 – 1516 .
  • Tang , L. C. , Lu , Y. , Chew , E. P. ( 1999 ). Mean residual life distributions . IEEE Trans. Reliab. 48 ( 1 ): 73 – 78 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.