Functions Bounded by Karamata Functions in ℝ<sup> D</sup>
Abstract:
We introduce different types of multivariate regularly varying functions and define a new class of positive and measurable functions that are bounded between such multivariate Karamata functions. We study integrals and Laplace transforms of these functions. We use the results to study the tail of convolutions of bivariate distribution functions.
Año de publicación:
2020
Keywords:
Fuente:
scopus
Tipo de documento:
Article
Estado:
Acceso restringido
Áreas de conocimiento:
- Optimización matemática
- Optimización matemática
Áreas temáticas:
- Topología
- Análisis
- Probabilidades y matemática aplicada