Exponential densities and compound Poisson measures
DOI10.1002/mana.202200271zbMath1530.60014arXiv2206.02258OpenAlexW4381513373MaRDI QIDQ6144867
Publication date: 8 January 2024
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.02258
asymptoticsexponential decayWright functionmultivariate densitycompound Poisson measureradial decreasing functionsubexponential and convolution equivalent distribution
Processes with independent increments; Lévy processes (60G51) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Integral operators (47G10) Functions of several variables (26B99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multivariate subexponential distributions and their applications
- Local subexponentiality and self-decomposability
- Subexponential densities of infinitely divisible distributions on the half-line
- Subexponential distribution functions in \(R^{d}\)
- Convolution equivalence and distributions of random sums
- Ratio of the tail of an infinitely divisible distribution on the line to that of its Lévy measure
- On convolution tails
- Multivariate subexponential distributions
- Inequalities in Fourier analysis
- Degeneracy properties of subcritical branching processes
- Subexponential distributions and characterizations of related classes
- Asymptotic ordering of distribution functions and convolution semigroups
- Functions of probability measures
- On directional convolution equivalent densities
- Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators
- Small-time sharp bounds for kernels of convolution semigroups
- Infinite divisibility and generalized subexponentiality
- Compound kernel estimates for the transition probability density of a Lévy process in $\mathbb R^n$
- Subexponentiality and infinite divisibility
- Spatial asymptotics at infinity for heat kernels of integro-differential operators
- Convolution equivalence and infinite divisibility
- An Introduction to Heavy-Tailed and Subexponential Distributions
- On the Convolution Inequality f ≥ f ⋆ f
- Subexponential potential asymptotics with applications
- Kesten's bound for subexponential densities on the real line and its multi-dimensional analogues
- Convolution Equivalence and Infinite Divisibility: Corrections and Corollaries
This page was built for publication: Exponential densities and compound Poisson measures