@article{TVP_2010_55_3_a12,
author = {Ch. Withers and S. Nadarajah},
title = {Maximum of continuous versions of {Poisson} and negative binomial type distributions},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {598--601},
year = {2010},
volume = {55},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TVP_2010_55_3_a12/}
}
TY - JOUR AU - Ch. Withers AU - S. Nadarajah TI - Maximum of continuous versions of Poisson and negative binomial type distributions JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2010 SP - 598 EP - 601 VL - 55 IS - 3 UR - http://geodesic.mathdoc.fr/item/TVP_2010_55_3_a12/ LA - en ID - TVP_2010_55_3_a12 ER -
Ch. Withers; S. Nadarajah. Maximum of continuous versions of Poisson and negative binomial type distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 55 (2010) no. 3, pp. 598-601. http://geodesic.mathdoc.fr/item/TVP_2010_55_3_a12/
[1] Anderson C. W., “Extreme value theory for a class of discrete distributions with applications to some stochastic processes”, J. Appl. Probab., 7 (1970), 99–113 | DOI | MR | Zbl
[2] Anderson C. W., “Local limit theorems for the maxima of discrete random variables”, Math. Proc. Cambridge Philos. Soc., 88:1 (1980), 161–165 | DOI | MR | Zbl
[3] Anderson C. W., Coles S. G., Hüsler J., “Maxima of Poisson-like variables and related triangular arrays”, Ann. Appl. Probab., 7:4 (1997), 953–971 | DOI | MR | Zbl
[4] Coles S., Pauli F., “Extremal limit laws for a class of bivariate Poisson vectors”, Statist. Probab. Lett., 54:4 (2001), 373–379 | DOI | MR | Zbl
[5] Fisher R. A., Tippett L. H. C., “Limiting forms of the frequency distribution of the largest or smallest member of a sample”, Proc. Cambridge Philos. Soc., 24 (1928), 180–190 | DOI | Zbl
[6] Gnedenko B. V., “O lokalnoi predelnoi teoreme veroyatnostei”, Uspekhi matem. nauk, 3:3 (1948), 187–194 | MR
[7] Lidbetter M., Lindgren Kh., Rotsen Kh., Ekstremumy sluchainykh posledovatelnostei i protsessov, Mir, M., 1989, 391 pp. | MR
[8] Mitov K. V., Nadarajah S., “Limit distributions for the bivariate geometric maxima”, Extremes, 8:4 (2005), 357–370 | DOI | MR | Zbl
[9] Nadarajah S., Mitov K. V., “Asymptotics of maxima of discrete random variables”, Extremes, 5:3 (2002), 287–294 | DOI | MR
[10] Resnick S. I., Extreme Values, Regular Variation, and Point Processes, Springer-Verlag, New York, 1987, 320 pp. | MR | Zbl