Table of Contents
Journal of Quality and Reliability Engineering
Volume 2013, Article ID 530530, 8 pages
http://dx.doi.org/10.1155/2013/530530
Research Article

Inference on Reliability of Stress-Strength Models for Poisson Data

Department of Economics, Management and Quantitative Methods, University of Milan, 20122 Milan, Italy

Received 24 October 2012; Accepted 20 December 2012

Academic Editor: Shey-Huei Sheu

Copyright © 2013 Alessandro Barbiero. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Kotz, M. Lumelskii, and M. Pensky, The Stress-Strength Model and Its Generalizations: Theory and Applications, World Scientific, New York, NY, USA, 2003.
  2. B. V. Gnedenko and I. A. Ushakov, Probabilistic Reliability Engineering, John Wiley & Sons, New York, NY, USA, 1995.
  3. P. C. Wang, “Comparisons on the analysis of Poisson data,” Quality and Reliability Engineering International, vol. 15, no. 5, pp. 379–383, 1999. View at Google Scholar
  4. F. A. Haight, Handbook of the Poisson Distribution, John Wiley & Sons, New York, NY, USA, 1967.
  5. N. L. Johnson, A. W. Kemp, and S. Kotz, Univariate Discrete Distributions, John Wiley & Sons, New York, NY, USA, 2005.
  6. J. Strackee and J. J. D. van der Gon, “The frequency distribution of the difference between two Poisson variates,” Statistica Neerlandica, vol. 16, no. 1, pp. 17–23, 1962. View at Publisher · View at Google Scholar
  7. J. O. Irwin, “The frequency distribution of the difference between two independent variates following the same Poisson distribution,” Journal of the Royal Statistical Society, vol. 100, no. 3, pp. 415–416, 1937. View at Publisher · View at Google Scholar
  8. J. G. Skellam, “The frequency distribution of the difference between two Poisson variates belonging to different populations,” Journal of the Royal Statistical Society A, vol. 109, no. 3, p. 296, 1946. View at Publisher · View at Google Scholar
  9. D. Karlis and I. Ntzoufras, “Bayesian analysis of the differences of count data,” Statistics in Medicine, vol. 25, no. 11, pp. 1885–1905, 2006. View at Publisher · View at Google Scholar · View at Scopus
  10. D. Karlis and I. Ntzoufras, “Bayesian modelling of football outcomes: using the Skellam's distribution for the goal difference,” IMA Journal Management Mathematics, vol. 20, no. 2, pp. 133–145, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. L. R. Klein, A Textbook of Econometrics, Prentice Hall, New York, NY, USA, 1953.
  12. R Development Core Team, R: A Language and Environment For Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, 2011, http://www.R-project.org/.
  13. S. P. Mukherjee and S. S. Maiti, “Stress-strength reliability in the Weibull case,” in Frontiers in Reliability, vol. 4, pp. 231–248, World Scientific, Singapore, 1998. View at Google Scholar