Stability for random measures, point processes and discrete semigroups
DOI10.3150/10-BEJ301zbMath1339.60054arXiv0907.0077MaRDI QIDQ638766
Sergei Zuyev, Youri Davydov, Ilya S. Molchanov
Publication date: 14 September 2011
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.0077
thinningspectral measurerandom measurestrict stabilityCox processdiscrete stabilitycluster processdiscrete semigroupsibuya distribution
Infinitely divisible distributions; stable distributions (60E07) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Semigroups (20M99)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete stable random variables
- Completely random signed measures
- Strictly stable distributions on convex cones
- Infinite divisibility
- Infinite divisibility II
- Discrete analogues of self-decomposability and stability
- A triptych of discrete distributions related to the stable law
- Characterization of discrete laws via mixed sums and Markov branching processes
- Functional limit theorems for induced order statistics
- Stability equations for processes with stationary independent increments using branching processes and Poisson mixtures
- Lévy-based Cox point processes
- Discrete operator-selfdecomposabiuty and queueing networks
- Self-decomposable discrete distributions and branching processes
- Log Gaussian Cox Processes
- Shot noise Cox processes
- An Introduction to the Theory of Point Processes
- A class of self-similar random measure
- An Introduction to the Theory of Point Processes
This page was built for publication: Stability for random measures, point processes and discrete semigroups
