398
Views
46
CrossRef citations to date
0
Altmetric
Original Articles

Modeling wind energy flux by a Birnbaum–Saunders distribution with an unknown shift parameter

, , &
Pages 2819-2838 | Received 09 Jul 2010, Accepted 15 Feb 2011, Published online: 03 May 2011

References

  • Aarset , M. V. 1987 . How to identify a bathtub hazard rate . IEEE Trans. Reliab. , 36 : 106 – 108 .
  • Athayde , E. , Azevedo , C. , Leiva , V. and Sanhueza , A. 2011, in press . About Birnbaum-Saunders distributions based on the Johnson system . Commun. Statist. Theor. Meth. , Available at http://dx.doi.org/10.1080/03610926.2010.551454
  • Atkinson , A. C. 1985 . Plots, Transformations, and Regression , Oxford : Oxford University Press .
  • Barros , M. , Paula , G. A. and Leiva , V. 2008 . A new class of survival regression models with heavy-tailed errors: robustness and diagnostics . Lifet. Data Anal. , 14 : 316 – 332 .
  • Barros , M. , Paula , G. A. and Leiva , V. 2009 . An R implementation for generalized Birnbaum–Saunders distributions . Comput. Statist. Data Anal. , 53 : 1511 – 1528 .
  • Bhatti , C. R. 2010 . The Birnbaum–Saunders autoregressive conditional duration model . Math. Comput. Simul. , 80 : 2062 – 2078 .
  • Birnbaum , Z. W. and Saunders , S. C. 1969 . Estimation for a family of life distributions with applications to fatigue . J. Appl. Probab. , 6 : 328 – 347 .
  • Celik , A. N. , Makkawi , A. and Muneer , T. 2010 . Critical evaluation of wind speed frequency distribution functions . J. Renew. Sust. Energy , 2 : 013102 (16 pp.)
  • Galea , M. , Leiva , V. and Paula , G. A. 2004 . Influence diagnostics in log-Birnbaum–Saunders regression models . J. Appl. Statist. , 31 : 1049 – 1064 .
  • Hubert , M. and Vandervieren , E. 2008 . An adjusted boxplot for skewed distributions . Comput. Statist. Data Anal. , 52 : 5186 – 5201 .
  • Johnson , N. L. , Kotz , S. and Balakrishnan , N. 1995 . Continuous Univariate Distributions , Vol. 2 , New York : Wiley .
  • Lange , K. L. , Little , J. A. and Taylor , M. G. 1989 . Robust statistical modeling using the t distribution . J. Amer. Statist. Assoc. , 84 : 881 – 896 .
  • Leiva , V. , Barros , M. , Paula , G. A. and Galea , M. 2007 . Influence diagnostics in log-Birnbaum-Saunders regression models with censored data . Comput. Statist. Data Anal. , 51 : 5694 – 5707 .
  • Leiva , V. , Barros , M. , Paula , G. A. and Sanhueza , A. 2008 . Generalized Birnbaum–Saunders distributions applied to air pollutant concentration . Environmetrics , 19 : 235 – 249 .
  • Leiva , V. , Hernández , H. and Riquelme , M. 2006 . A new package for the Birnbaum-Saunders distribution . R Journal , 6 : 35 – 40 . Available at http://www.R-project.org/doc/Rnews/Rnews_2006-4.pdf
  • Leiva , V. , Sanhueza , A. and Angulo , J. M. 2009 . A length-biased version of the Birnbaum–Saunders distribution with application in water quality . Stoch. Environ. Res. Risk. Assess. , 23 : 299 – 307 .
  • Leiva , V. , Vilca , F. , Balakrishnan , N. and Sanhueza , A. 2010 . A skewed sinh-normal distribution and its properties and application to air pollution . Commun. Statist. Theor. Meth. , 39 : 426 – 443 .
  • Marshall , A. W. and Olkin , I. 2007 . Life Distributions , New York : Springer .
  • Podlaski , R. 2008 . Characterization of diameter distribution data in near-natural forests using the Birnbaum–Saunders distribution . Canad. J. Forest Res. , 18 : 518 – 526 .
  • R Development Core Team . 2009 . R: A Language and Environment for Statistical Computing , Vienna, , Austria : R Foundation for Statistical Computing .
  • Rinne , H. 2009 . The Weibull Distribution , Boca Raton, FL : Chapman and Hall/CRS press .
  • Steward , D. A. and Essenwanger , O. M. 1978 . Frequency distribution of the wind speed near the surface . J. Appl. Meteorol , 17 : 1633 – 1642 .
  • Vilca , F. , Sanhueza , A. , Leiva , V. and Christakos , G. 2010 . An extended Birnbaum-Saunders model and its application in the study of environmental quality in Santiago, Chile . Stoch. Environ. Res. Risk. Assess. , 24 : 771 – 782 .
  • Vilca , F. , Santana , L. , Leiva , V. and Balakrishnan , N. 2011 . Estimation of extreme percentiles in Birnbaum–Saunders distributions . Comput. Statist. Data Anal. , 55 : 1665 – 1678 .
  • Zhu , H. and Zhang , H. 2004 . A diagnostic procedure based on local influence . Biometrika , 91 : 579 – 589 .

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.