Table of Contents
Journal of Quality and Reliability Engineering
Volume 2013, Article ID 219473, 9 pages
Research Article

Statistical Inferences and Applications of the Half Exponential Power Distribution

Department of Mathematics and Statistics, University of Minnesota Duluth, Duluth, MN 55812, USA

Received 23 October 2012; Revised 13 December 2012; Accepted 4 February 2013

Academic Editor: Kai Yuan Cai

Copyright © 2013 Wenhao Gui. 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. Nadarajah, “A generalized normal distribution,” Journal of Applied Statistics, vol. 32, no. 7, pp. 685–694, 2005. View at Publisher · View at Google Scholar · View at Scopus
  2. G. Box and G. Tiao, “A further look at robustness via bayes's theorem,” Biometrika, vol. 49, no. 3-4, pp. 419–432, 1962. View at Google Scholar
  3. A. I. Genç, “A generalization of the univariate slash by a scale-mixtured exponential power distribution,” Communications in Statistics, vol. 36, no. 5, pp. 937–947, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. I. R. Goodman and S. Kotz, “Multivariate θ-generalized normal distributions,” Journal of Multivariate Analysis, vol. 3, no. 2, pp. 204–219, 1973. View at Google Scholar · View at Scopus
  5. G. Tiao and D. Lund, “The use of olumv estimators in inference robustness studies of the location parameter of a class of symmetric distributions,” Journal of the American Statistical Association, vol. 65, pp. 370–386, 1970. View at Google Scholar
  6. A. Atkinson, Plots, Transformations, and Regression: An Introduction to Graphical Methods of Diagnostic Regression Analysis, Clarendon Press Oxford, 1985.
  7. V. F. Flack and R. A. Flores, “Using simulated envelopes in the evaluation of normal probability plots of regression residuals,” Technometrics, vol. 31, no. 2, pp. 219–225, 1989. View at Google Scholar · View at Scopus
  8. S. L. P. Ferrari and F. Cribari-Neto, “Beta regression for modelling rates and proportions,” Journal of Applied Statistics, vol. 31, no. 7, pp. 799–815, 2004. View at Publisher · View at Google Scholar · View at Scopus
  9. C. da Silva Ferreira, H. Bolfarine, and V. H. Lachos, “Skew scale mixtures of normal distributions: properties and estimation,” Statistical Methodology, vol. 8, no. 2, pp. 154–171, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Chiodi, “Procedures for generating pseudo-random numbers from a normal distribution of order p (P>1),” Statistica Applicata, vol. 1, pp. 7–26, 1986. View at Google Scholar
  11. A. Azzalini and A. Dalla Valle, “The multivariate skew-normal distribution,” Biometrika, vol. 83, no. 4, pp. 715–726, 1996. View at Google Scholar · View at Scopus
  12. R. Cook and S. Weisberc, “An introduction to regression graphic?” Methods, vol. 17, article 640, 1994. View at Google Scholar
  13. D. Elal-Olivero, J. F. Olivares-Pacheco, H. W. Gómez, and H. Bolfarine, “A new class of non negative distributions generated by symmetric distributions,” Communications in Statistics—Theory and Methods, vol. 38, no. 7, pp. 993–1008, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. D. Andrews and A. Herzberg, Data: A Collection of Problems from Many Fields for the Student and Research Worker, vol. 18, Springer, New York, NY, USA, 1985.
  15. R. Barlow, R. Toland, and T. Freeman, “A bayesian analysis of the stress-rupture life of kevlar/epoxy spherical pressure vessels,” in Accelerated Life Testing and Experts Opinions in Reliability, C. A. Clarotti and D. V. Lindley, Eds., 1988. View at Google Scholar
  16. N. M. Olmos, H. Varela, H. W. Gómez, and H. Bolfarine, “An extension of the half-normal distribution,” Statistical Papers, pp. 1–12, 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. P. Sen and J. M. Singer, Large Sample Methods in Statistics: An Introduction with Applications, Chapman and Hall/CRC, 1993.