TBan-I: Difference between revisions

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Consider the <math>M</math> energies <math>E_1, \dots, E_M</math> as independent and identically distributed (i.i.d.) random variables drawn from a distribution <math>p(E)</math>. It is useful to introduce the cumulative probability of finding an energy smaller than ''E''
Consider the <math>M</math> energies <math>E_1, \dots, E_M</math> as independent and identically distributed (i.i.d.) random variables drawn from a distribution <math>p(E)</math>. It is useful to introduce the cumulative probability of finding an energy smaller than ''E''
<center> <math>P(E) = \int_{-\infty}^E dx \, p(x)</math> </center>

Revision as of 16:31, 6 August 2025

Detour: Extreme Value Statistics

Consider the energies as independent and identically distributed (i.i.d.) random variables drawn from a distribution . It is useful to introduce the cumulative probability of finding an energy smaller than E