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A random variable or stochastic variable is a value that is subject to chance variation (i.e., randomness in a mathematical sense).
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Studying extreme value r.v. $X=\max_i (c_i+X_i)$ where $c_i$ are constants and $X_i$ are i.i...
Let
$X_1,X_2,...,X_n$ be independently and identically distributed random variables according to a distribution $F$.
There are constants: $c_1,c_2,...,c_n$.
Define a new random variable $X=\max_i(X_i …