Models induced from critical birth–death process with random initial conditions

DOI10.1080/02664763.2020.1732309OpenAlexW3007380681MaRDI QIDQ5861452

Penka Mayster, Assen Tchorbadjieff

Publication date: 1 March 2022

Published in: Journal of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02664763.2020.1732309

zbMATH Keywords

branching processesstochastic simulationsinitial conditionPólya urnlinear birth-death processnegative-binomial distributionPólya-aeppli distribution

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05) Applications of statistics (62Pxx)

Related Items (3)

Factorial moments of the critical Markov branching process with geometric reproduction of particles ⋮ On regime changes of COVID-19 outbreak ⋮ Editorial to special issue V WCDANM 2018

Uses Software

• GEANT4
• R
• CORSIKA
• kSamples
• polyaAeppli

Cites Work

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• Limit distributions for large Pólya urns
• A note on linear equations modeling birth-and-death processes
• An introduction to MCMC for machine learning
• Branching processes in continuous time as models of mutations: computational approaches and algorithms
• A Delayed Yule Process
• Consecutive Subordination of Poisson Processes and Gamma Processes
• Supercritical Markov Branching Process with Random Initial Condition
• The linear birth‒death process: an inferential retrospective
• Branching Processes Since 1873
• Understanding frequency distributions of path-dependent processes with non-multinomial maximum entropy approaches

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