Extreme Value Theory in Applied Probability.
TEMPLE UNIV PHILADELPHIA PA DEPT OF MATHEMATICS
Pagination or Media Count:
Several problems of applied probability lead to the investigation of extremes of a sequence of random variables floods, strength of materials, failure models, maximal queue length, air pollution data, etc.. It is unrealistic in most cases to assume that the random variables in question are independent and identically distributed. However, there are several dependent models when the distribution of the k-th largest is well approximated by the distribution of the k-th largest of independent, and some times independent and identically distributed random variables possibly changing the fixed size of the sequence in question to a random one.
- Statistics and Probability