On Joint Estimation of an Exponent of Regular Variation and an Asymmetry Parameter for Tail Distributions

Autor: Daniel C. Weiner, Marjorie G. Hahn
Rok vydání: 1991
Předmět:
Zdroj: Sums, Trimmed Sums and Extremes ISBN: 9781468467956
DOI: 10.1007/978-1-4684-6793-2_4
Popis: A random variable X is said to have a joint tail distribution which is regularly varying of index -α if for each c > 0, $$ \mathop {\lim }\limits_{t \to \infty } \frac{{P(\left| X \right| > \,ct)}}{{P(|X|\, > \,t)}}\, = \,c^{ - \alpha }.$$
Databáze: OpenAIRE