Built on

Fréchet, M., 1927, Ann. Soc. Polon. Math., 6, 93
1927
Earlier work this paper cites.
Fisher, R. A., Tippett, L. H. C., 1928, Proc. Cambridge Phil. Soc., 24, 180
1928
Earlier work this paper cites.
Mikelsons, G., Silk, J., Zuntz, J., 2009, MNRAS, 400, 898,
Original
1931
Earlier work this paper cites.
Gnedenko, B., 1943, Annals of Mathematics, 44, 423
1943
Earlier work this paper cites.
Cayón, L., Gordon, C., Silk, J., 2011, MNRAS, 415, 849,
Original
1950
Earlier work this paper cites.
Gumbel, E. J., 1958, Statistics of Extremes, Columbia University Press
1958
Earlier work this paper cites.
Press, W. H., Schechter, P., 1974, ApJ, 187, 425
1974
Earlier work this paper cites.
Lucchin, F., Matarrese, S., 1988, ApJ, 330, 535
1988
Earlier work this paper cites.
White, S. D. M., Frenk, C. S., 1991, ApJ, 379, 52
1991
Earlier work this paper cites.
Sheth, R. K., Tormen, G., 1999, MNRAS, 308, 119,
1999
Earlier work this paper cites.
Matarrese, S., Verde, L., Jimenez, R., 2000, ApJ, 541, 10,
2000
Earlier work this paper cites.
Peacock, J. A., 2000, Cosmological Physics, Cambridge
2000
Earlier work this paper cites.
Jenkins, A., Frenk, C. S., White, S. D. M., et al., 2001, MNRAS, 321, 372,
2001
Earlier work this paper cites.

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2011

Exact Extreme Value Statistics and the Halo Mass Function

Harrison, Ian, Coles, Peter

Understand

Motivated by observations that suggest the presence of extremely massive clusters at uncomfortably high redshifts for the standard cosmological model to explain, we develop a theoretical framework for the study of the most massive haloes, e.g.

the most massive cluster found in a given volume, based on Extreme Value Statistics (EVS).
We proceed from the exact distribution of the extreme values drawn from a known underlying distribution, rather than relying on asymptotic theory (which is independent of the underlying form), arguing that the former is much more likely to furnish robust statistical results.
We illustrate this argument with a discussion of the use of extreme value statistics as a probe of primordial non-Gaussianity.

Built on

Fréchet, M., 1927, Ann. Soc. Polon. Math., 6, 93
1927
Earlier work this paper cites.
Fisher, R. A., Tippett, L. H. C., 1928, Proc. Cambridge Phil. Soc., 24, 180
1928
Earlier work this paper cites.
Mikelsons, G., Silk, J., Zuntz, J., 2009, MNRAS, 400, 898,
Original
1931
Earlier work this paper cites.
Gnedenko, B., 1943, Annals of Mathematics, 44, 423
1943
Earlier work this paper cites.
Cayón, L., Gordon, C., Silk, J., 2011, MNRAS, 415, 849,
Original
1950
Earlier work this paper cites.
Gumbel, E. J., 1958, Statistics of Extremes, Columbia University Press
1958
Earlier work this paper cites.
Press, W. H., Schechter, P., 1974, ApJ, 187, 425
1974
Earlier work this paper cites.
Lucchin, F., Matarrese, S., 1988, ApJ, 330, 535
1988
Earlier work this paper cites.
White, S. D. M., Frenk, C. S., 1991, ApJ, 379, 52
1991
Earlier work this paper cites.
Sheth, R. K., Tormen, G., 1999, MNRAS, 308, 119,
1999
Earlier work this paper cites.
Matarrese, S., Verde, L., Jimenez, R., 2000, ApJ, 541, 10,
2000
Earlier work this paper cites.
Peacock, J. A., 2000, Cosmological Physics, Cambridge
2000
Earlier work this paper cites.
Jenkins, A., Frenk, C. S., White, S. D. M., et al., 2001, MNRAS, 321, 372,
2001
Earlier work this paper cites.