The extreme value Birnbaum-Saunders model, its moments and an application in biometry
M. Ivette Gomes; Marta Ferreira; Víctor Leiva
Biometrical Letters (2012)
- Volume: 49, Issue: 2, page 81-94
- ISSN: 1896-3811
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top- Abramowitz M., Stegun I.A. (1972): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover, New York. Zbl0543.33001
- Birnbaum Z.W., Saunders S.C. (1969): A new family of life distributions. J. Applied Probab. 6: 319-327. Zbl0209.49801
- Ferreira M., Gomes M.I., Leiva V. (2012): On an Extreme Value Version of the Birnbaum-Saunders Distribution. Revstat (in press). Zbl1297.60006
- Fréchet M. (1927): Sur la loi de probabilité de l'écart maximum. Ann. Société Polonaise de Mathématique 6: 93-116. Zbl54.0562.06
- 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. Zbl54.0560.05
- Gnedenko B.V. (1943): Sur la distribution limite du terme maximum d'une série aléatoire. Ann. Math. 44: 423-453. Zbl0063.01643
- 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): 3-34 Zbl1164.62014
- 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.
- 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. Zbl05560064
- 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. Zbl1136.62016
- Mises R. von (1936): La distribution de la plus grande de n valeurs. Revue Math. Union Interbalcanique, 1, 141-160.
- Reprinted in Selected Papers of Richard von Mises. Amer. Math. Soc. 2(1964): 271-294.
- 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. Zbl1084.62107