The extreme value Birnbaum-Saunders model, its moments and an application in biometry

Abramowitz M., Stegun I.A. (1972): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover, New York.Search in Google Scholar

Birnbaum Z.W., Saunders S.C. (1969): A new family of life distributions. J. Applied Probab. 6: 319-327.10.2307/3212003Search in Google Scholar

Ferreira M., Gomes M.I., Leiva V. (2012): On an Extreme Value Version of the Birnbaum-Saunders Distribution. Revstat (in press).Search in Google Scholar

Fréchet M. (1927): Sur la loi de probabilité de l'écart maximum. Ann. Société Polonaise de Mathématique 6: 93-116.Search in Google Scholar

Fisher R.A., Tippett L.H.C. (1928): Limiting forms of the frequency of the largest or smallest member of a sample. Proc. Cambridge Phil. Soc. 24: 180-190.Search in Google Scholar

Gnedenko B.V. (1943): Sur la distribution limite du terme maximum d'une série aléatoire. Ann. Math. 44: 423-453.Search in Google Scholar

Gomes M.I., Canto e Castro L., Fraga Alves M.I., Pestana D. (2008): Statistics of extremes for iid data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions. Extremes 11(1): 3-3410.1007/s10687-007-0048-9Search in Google Scholar

Jenkinson A.F. (1955): The frequency distribution of the annual maximum (or minimum) values of meteorological elements. Quart. J. Royal Meteorol. Society 81: 158-171.Search in Google Scholar

Leiva V., Barros M., Paula G.A., Galea, M. (2007): Inuence diagnostics in log- Birnbaum-Saunders regression models with censored data. Comp. Stat. Data Anal. 51: 5694-5707.10.1016/j.csda.2006.09.020Search in Google Scholar

Sanhueza A., Leiva V., Balakrishnan N. (2008): The generalized Birnbaum- Saunders distribution and its theory, methodology and application. Comm. Statist. - Theory and Methods 37: 645-670.10.1080/03610920701541174Search in Google Scholar

Mises R. von (1936): La distribution de la plus grande de n valeurs. Revue Math. Union Interbalcanique, 1, 141-160.Search in Google Scholar

Reprinted in Selected Papers of Richard von Mises. Amer. Math. Soc. 2(1964): 271-294.Search in Google Scholar

Vilca F., Leiva V. (2006): A new fatigue life model based on the family of skewelliptical distributions. Comm. Statist. - Theory and Methods 35: 229-244. 10.1080/03610920500440065Search in Google Scholar