Explanation:
The Fisher-Tippett-Gnedenko theorem is a foundational result in Extreme Value Theory (EVT). It states that the distribution of the maximum (or minimum) of a sample of independent and identically distributed (i.i.d.) variables, after proper renormalization, can only converge to one of three types of distributions: Gumbel, Fréchet, or Weibull. These three distributions are generalized and combined into a single parametric family known as the Generalized Extreme Value (GEV) distribution.
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Q.4009 According to the Fisher-Tippett theorem, as the sample size n gets large, the distribution of extremes converges to:
A
a uniform distribution
B
a normal distribution
C
a generalized extreme value distribution
D
a generalized Pareto distribution
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