Revisiting John Lamperti's maximal branching process
From MaRDI portal
Publication:5086906
DOI10.1080/17442508.2021.1935949zbMath1492.60238arXiv1911.07730OpenAlexW3168728281MaRDI QIDQ5086906
Servet Martínez, Thierry E. Huillet
Publication date: 8 July 2022
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.07730
generating functionstruncationtailsdiscrete probabilitymaximal branching processfailure rate monotonicityrecurrence/ transience transitionshape of invariant measuressharp strong time to stationarity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximal branching processes with several types of particles
- Error bounds for exponential approximations of geometric convolutions
- Generalized hypergeometric, digamma and trigamma distributions
- Monotone matrices and monotone Markov processes
- On the monotonic properties of discrete failure rates
- Quasi-Stationary Distributions
- Tail Asymptotics for Stationary Distributions of Maximal Branching Processes
- Equilibrium distribution of block-structured Markov chains with repeating rows
- Transient Markov Chains with Stationary Measures
- Maximal Branching Processes with Nonnegative Values
- Colored Maximal Branching Process
- Singularity Analysis of Generating Functions
- Convergence of quasi-stationary to stationary distributions for stochastically monotone Markov processes
- The censored Markov chain and the best augmentation
- Remarks on Maximal Branching Processes
- Double exponential law for maximal branching processes
- Maximal branching processes and ‘long-range percolation’
- On the Stochastic Matrices Associated with Certain Queuing Processes