Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case
From MaRDI portal
Publication:2446228
DOI10.1134/S0081543813060205zbMath1290.60087arXiv1303.2306OpenAlexW1967793662MaRDI QIDQ2446228
Denis Denisov, Vitali Wachtel, Dmitrii Korshunov
Publication date: 16 April 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.2306
Related Items
Asymptotic properties of expansive Galton-Watson trees ⋮ Regularly varying non-stationary Galton-Watson processes with immigration ⋮ Probabilistic Inequalities for the Galton--Watson Processes ⋮ Concentration inequalities from monotone couplings for graphs, walks, trees and branching processes ⋮ On large-deviation probabilities for the empirical distribution of branching random walks with heavy tails ⋮ Regularly log-periodic functions and some applications ⋮ Galton-Watson trees with vanishing martingale limit
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotics of randomly stopped sums in the presence of heavy tails
- On the left tail asymptotics for the limit law of supercritical Galton-Watson processes in the Böttcher case
- Lower deviation probabilities for supercritical Galton-Watson processes
- Large deviations for random walks under subexponentiality: The big-jump domain
- Galton-Watson trees with vanishing martingale limit
- An Introduction to Heavy-Tailed and Subexponential Distributions
- Asymptotic Analysis of Random Walks
- On a theorem of bingham and doney
- Asymptotic properties of supercritical branching processes I: The Galton-Watson process
- Asymptotic properties of super-critical branching processes II: Crump-Mode and Jirina processes
- Large deviations in the supercritical branching process
- Probability Inequalities for a Critical Galton--Watson Process
- Some Limit Theorems for Large Deviations
- Branching Processes
