Modeling Extremal Events Is Not Easy: Why the Extreme Value Theorem Cannot Be As General As the Central Limit Theorem

Kreinovich, Vladik1, Nguyen, Hung T.2,3, Sriboonchitta, Songsak3, Kosheleva, Olga1
1University of Texas at El Paso 500 W. University
2New Mexico State University, Las Cruces
3Chiang Mai University

Tóm tắt

In many real-life situations, a random quantity is a joint result of several independent factors, i.e., a sum of many independent random variables. The description of such sums is facilitated by the Central Limit Theorem, according to which, under reasonable...