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References

  1. C.W. Anderson, S.G. Coles and J. Hüsler. Maxima of Poisson-like variables and related triangular arrays. Ann. Appl. Probab. 7 (1997), 953-971. Math. Review MR1484793 (99c:60108)
  2. R.N. Bhattacharya and R. Ranga Rao. Normal approximation and asymptotic expansions. Wiley Series in Probability and Mathematical Statistics. John Wiley & Sons, New York-London-Sydney, 1976. Math. Review MR436272 (55 #9219)
  3. W. Feller. An introduction to probability theory and its applications. Vol. I. Third Edition. John Wiley & Sons, Inc., New York, 1968. Math. Review MR228020 (37 #3604)
  4. R.A. Fisher and L.H.C. Tippett. Limiting forms of the frequency distribution of the largest and smallest members of a sample. Proc. Camb. Philos. Soc. 24 (1928), 180-190.
  5. B. Gnedenko. Sur la distribution limite du terme maximum d'une série aléatoire. Ann. of Math. (2) 44 (1943), 423-453. Math. Review MR8655 (5,41b)
  6. L. de Haan. On regular variation and its application to the weak convergence of sample extremes. Mathematical Centre Tracts 32 (1970). Mathematisch Centrum, Amsterdam. Math. Review MR286156 (44 #3370)
  7. M.R. Leadbetter, G. Lindgren and H. Rootzén. Extremes and related properties of random sequences and processes. Springer Series in Statistics. Springer-Verlag, New York, 1983. Math. Review MR691492 84h:60050)
  8. S. Nadarajah and K. Mitov. Asymptotics of maxima of discrete random variables. Extremes. 5 (2002), 287-294. Math. Review MR1995780 (2004j:62108)
  9. V. V. Petrov. Sums of independent random variables. Translated from the Russian by A. A. Brown. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 82 (1975). Springer-Verlag, New York. Math. Review MR388499 (52 #9335)


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